1. Geometry is that part of universal mechanics which accurately proposes and demonstrates the art of measuring (Sir Christopher Wren)
2.Without geometry life is pointless (Unknown writer)
3. Inspiration is needed in geometry just as much as in poetry (A.S.Pushkin)
Answer the following questions:
Is geometry really a very intriguing and mysterious subject?
Whom does the quotation There is no royal road to geometry belong to?
Interesting��
ОтветитьУдалитьThe film is very interesting👍
ОтветитьУдалитьIt’s very good
ОтветитьУдалитьThis video,about the ancient Greek mathematics Euclid, was very informative and developing.👍
ОтветитьУдалитьThe creation of Euclidean geometry demonstrates how much knowledge can be derived by reasoning alone. Even nowadays this work of Euclid serves as a logical exercise and as model of reasoning and the art of the mind.
ОтветитьУдалитьЭтот комментарий был удален автором.
ОтветитьУдалитьGreat video about Euclid. Very exciting and accessible presentation of the necessary information
ОтветитьУдалитьMukhidinova P.M.
УдалитьVery interesting and informative video about Euclid
ОтветитьУдалитьThis is an interesting and very informative video about Euclid. I liked it very much.
ОтветитьУдалитьNice brief retelling of the Euclid's Elements
ОтветитьУдалитьThe film very good.
ОтветитьУдалитьinteresting video about Euclid
ОтветитьУдалитьVery interesting video!
ОтветитьУдалитьFrom definitions, axioms and postulates Euclid derived theorems . Euclid's "Elements" has been translated into many languages. It is widely used all over the world as a text-book on geometry )
Alidzhanova Aida
Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен)
Удалить2.Без геометрии жизнь бессмысленна (Неизвестный писатель)
3. Вдохновение необходимо в геометрии так же, как и в поэзии (А.С.Пушкин)
1.I think yes. Geometry is an important branch of mathematics. Its occurrence goes back thousands of years.
2.Quote belongs to Euclid
Алиджанова Аида 2к. 4гр
Удалитьinteresting and very informative video about Euclid. I liked it very much.Euclid's "Elements" has been translated into many. Even nowadays this work of Euclid serves as a logical exercise and as model of reasoning and the art of the mind. Dzhalilov.Sh
ОтветитьУдалитьvery interesting and informative video! It is extremely useful to know what contribution Euclid made to science. his works have been translated into many languages. Undoubtedly Euclid made many discoveries, which became the impetus in the development of mathematics and geometry.
ОтветитьУдалитьМагомедова Эсмира
Thank you very much for the video, the video is high-quality and impressive.
ОтветитьУдалитьvery useful information. I recommend everyone to see.
Alieva A.
I liked this video. It's really great and informative. Now i know what Euclid did for mathematics of the past and how important it was. I think it's truly essential information.
ОтветитьУдалитьЭтот комментарий был удален автором.
УдалитьЦитаты недели:
Удалить1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен)
2.Без геометрии жизнь бессмысленна (неизвестный писатель)
3. Вдохновение необходимо в геометрии так же, как и в поэзии (А. С. Пушкин)
1. Yes, of course. This science is full of unsolved problems that scientists can't give an answer. It makes geometry a really mysterious subject.
2. It belongs to Euclid.
Yes, I think geometry is intriguing and mysterious subject. The quotation "There is no royal road to geometry" belong to Euclid. Thank you for such an informative and fun video. Thanks to him, I not only remembered the axiom (Through any two points you can draw a straight line, and only one.), but also learned about its discovery. Indeed, Euclid is one of the greatest mathematicians who made many discoveries and whose work have been translated into many languages.
ОтветитьУдалитьFor me, geometry has always been very difficult, although I loved mathematics , but geometry did not love in high school , but now I can easily cope with it, but it leaves its intrigue. Quote "there Is no Royal road for geometry to belong to?" - this phrase belongs to Euclid, he is also an ancient Greek mathematician who made no small contribution to geometry.
ОтветитьУдалитьThank you for the video, it made me love both English and geometry even more!!!
ОтветитьУдалитьWhom does the quotation There is no royal road to geometry belong to?. Euclid
ОтветитьУдалитьthanks for the informative video it was very interesting to watch. It is especially nice to watch in this format. Also from this video you can learn a lot of interesting things from the history of mathematics or consolidate the material covered
ОтветитьУдалитьA very interesting and useful video about Euclid. Thanks to Euclid, many discoveries were made. He logically and scientifically created the format of mathematics, which today is known to the world under the name "Euclidean geometry." Thank you for the video!
ОтветитьУдалитьKahrimanova Maryam
1.Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения
ОтветитьУдалить2.Без геометрии жизнь бессмысленна
3.Вдохновение необходимо в геометрии так же, как в поэзии
Yes, it is
УдалитьThis quotation belong to Euclid
Mukhidinova P.
1. Геометрия-это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения.( сер Кристофер Рен )
ОтветитьУдалить2. Без геометрии жизнь бессмысленна ( неизвестный писатель)
3. Вдохновение нужно в геометрии так же , как в поэзии . (А.С. Пушкин)
1.Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения
ОтветитьУдалить2.Без геометрии, жизнь бессмысленна
3.Вдохновение в геометрии необходимо так же, как и в поэзии
Yes, it is. Geometry is actually a mysterious and unique object
Euclid's works have been translated into many languages. Euclid made a push in the development of geometry and matematiki
Удалить1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен)
ОтветитьУдалить2.Без геометрии жизнь бессмысленна (Неизвестный писатель)
3. Вдохновение необходимо в геометрии так же, как и в поэзии (А.С.Пушкин)
1.Yes, without geometry, there would be no human civilization in the form in which we know it.
2.Euclid
Kahrimanova Maryam
1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен )
ОтветитьУдалить2. Без геометрии жизнь бессмысленна ( Неизвестный писатель )
3. Вдохновение необходимо в геометрии так же, как и в поэзии ( А.С.Пушкин )
1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен)
ОтветитьУдалить2.Без геометрии жизнь бессмысленна (Неизвестный писатель)
3. Вдохновение необходимо в геометрии так же, как и в поэзии (А.С.Пушкин)
Geometry is really a very intriguing and mysterious subject.
ОтветитьУдалитьThe Egyptian ruler Ptolemy I Soter visited the thinker and asked if there was a shorter way to learn geometry than the one described in the Principles. The answer of the ancient thinker Euclid: "There is no Royal road to geometry" - is cited as a brilliant argument in favor of the need to make a lot of effort to master mathematics or any other science. Thanks for the useful video.
Геометрия-это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения
ОтветитьУдалитьБез геометрии, жизнь бессмысленна
Вдохновение в геометрии необходимо так же, как и в поэзии.
Yes, it is .Geometry shows how much knowledge can be gained only by reasoning.
Цитаты:
ОтветитьУдалить1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (Кристофер Рен)
2.Без геометрии жизнь бессмысленна (неизвестный писатель)
3. Вдохновение нужно в геометрии так же, как и в поэзии (А. С. Пушкин)
(Исаева Зулайха)
Цитаты недели:
ОтветитьУдалить1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен)
2.Без геометрии жизнь бессмысленна (Неизвестный писатель)
3. Вдохновение необходимо в геометрии так же, как и в поэзии (А.С.Пушкин)
ответы на вопросы
1 yes
2 Euclid
Этот комментарий был удален автором.
ОтветитьУдалитьГеометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен)
ОтветитьУдалить2.Без геометрии жизнь бессмысленна (Неизвестный писатель)
3. Вдохновение необходимо в геометрии так же, как и в поэзии (А.С.Пушкин)
definitely yes, geometry is a very mysterious and unique subject
Euclid.
Alieva A.
1.Indeed geometry is a very amazing unique and mysterious object .
ОтветитьУдалить2. The ancient Greek king Ptolemy I Soter, who ruled in Egypt's Alexandria, demanded that Euclid, who explained the laws of geometry to him, make it shorter and faster. He replied: "O great king, there are no Royal roads in geometry..." a Disciple of Plato, Euclid wrote the treatise "Beginnings" in 13 books. In them, the scientist explained the basics of geometry, which means in Greek "the science of measuring the Earth", which for many centuries was called Euclidean geometry.
(Исаева Зулайха)
1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен)
ОтветитьУдалить2.Без геометрии жизнь бессмысленна (неизвестный писатель)
3. Вдохновение нужно в геометрии так же, как и в поэзии (А. С. Пушкин)
Перевод цитат) Б.Ася
1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен )
ОтветитьУдалить2. Без геометрии жизнь бессмысленна ( Неизвестный писатель )
3. Вдохновение необходимо в геометрии так же, как и в поэзии ( А.С.Пушкин )
1. Yes, it is. Geometry has many beautiful mathematical surprises. And this is what makes geometry interesting and mysterious.
2.This quote belongs to Euclid.
ОтветитьУдалитьas D said Poya: "geometry is the art of correctly reasoning about incorrect drawings."and it is true ...The king once asked Euclid if he could find a shorter and less tedious way to study geometry than his "beginnings". Euclid replied: "There is no Royal path to geometry."
как говорил Д. Пойя: "геометрия есть искусство правильно рассуждать на неправильных чертежах." и в самом деле, так оно и есть ...Однажды царь спросил Евклида, нельзя ли найти более короткий и менее утомительный путь к изучению геометрии, чем его «Начала». Евклид ответил: « Нет царской дороги к ГЕОМЕТРИИ » Евклид
Б. Ася
Геометрия -это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен ) 2. Без геометрии жизнь бессмысленна ( Неизвестный писатель) 3. Вдохновение необходимо в геометрии так же, как и в поэзии ( А.С.Пушкин)
ОтветитьУдалитьAbakarova Makka
A very interesting and useful video about Euclid. Thank you for such an informative and funny video. Indeed, Euclid is one of the greatest mathematicians. Thanks to Euclid, many discoveries have been made. Thank you for the video!
ОтветитьУдалитьAbakarova Makka
Despite the centuries that have passed since his death, this great Greek scientist is not without reason considered a luminary of world science even today. He managed to be far ahead of his time and create a coherent system of axioms, and to all this, he also set out his own vision and understanding in a fundamental work called "Beginnings". He turned out to be so high in level that for many centuries the teaching of the basics of geometry was conducted according to the system developed by him. Even today, Euclidean geometry is topical and popular.
ОтветитьУдалитьthe video was interesting and informative, thank you very much.
Б. Ася
1.Indeed geometry is a very amazing unique and mysterious subject .
ОтветитьУдалить2. The ancient Greek king Ptolemy I Soter, who ruled in Egypt's Alexandria, demanded that Euclid, who explained the laws of geometry to him, make it shorter and faster. He replied: "O great king, there are no Royal roads in geometry..." a Disciple of Plato, Euclid wrote the treatise "Beginnings" in 13 books. In them, the scientist explained the basics of geometry, which means in Greek "the science of measuring the Earth", which for many centuries was called Euclidean geometry.
(Исаева Зулайха)
ОтветитьУдалить1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен )
2. Без геометрии жизнь бессмысленна ( Неизвестный писатель )
3. Вдохновение необходимо в геометрии так же, как и в поэзии ( А.С.Пушкин )
1. sure! especially on the control, it’s intriguing to horror.
Удалить2. our esteemed Euclid.
Euclid is a Greek mathematician . He is considered the "father of geometry". He made an inexhaustible contribution to the development of geometry . We all still learn geometry , which is called Euclidean, and according to his six books, stylized to our speech . That is, the geometry on the plane . Watching this video, I learned more about his simple ideas . It was very interesting and useful . Thank you very much.
ОтветитьУдалитьAldanova Mariyat
1.Геометрия - это та часть универсальной механики , которая точно предлагает и демонстрирует искусство измерения ( Кристофер Рен )
ОтветитьУдалить2.Без геометрии жизнь бессмысленна ( неизвестный писатель )
3.Вдохновение нужно в геометрии так же как и в поэзии.
1.Geometry and mathematical disciplines are required for the development of abstract thinking . Studying the aspect ratios of figures and numbers, we get used to moving in the element of imaginable definitions, and for every phenomenon to look for its essence . Plato considered geometry one of the first approaches to philosophy .
2.Euclid
Этот комментарий был удален автором.
ОтветитьУдалитьЭтот комментарий был удален автором.
ОтветитьУдалитьEuclid has a quote
ОтветитьУдалить"There is no royal road to geometry belong to»
Thank you very much for such an informative video about the elements of Euclid. Euclidean Elements have had a huge influence on the development of mathematics up to our time .His book has been translated into many languages.
Магомедова Женнет
1. геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения. (сэр Кристофер Рен)
ОтветитьУдалить2. без геометрии жизнь бессмысленна. (неизвестный писатель)
3. вдохновение необходимо в геометрии так же, как и в поэзии. (А.С.Пушкин)
1. yes, geometry is a very intriguing and mysterious subject, I was convinced of this in the 7th grade of high school and since then I haven't changed my mind.
2. this quote belongs to Euclid.
M.Khadzhieva
ОтветитьУдалитьGeometry is indeed a very mysterious subject.
Euclid is indeed one of the greatest mathematicians. Thanks to Euclid, many discoveries were made.
He managed to significantly get ahead of his time and create a holistic system of axioms, and to all this, he also set out his own vision and understanding in a fundamental work called “The Beginning”. It turned out to be so high in level that for many centuries teaching the basics of geometry
was carried out according to the system developed by him. Even today, Euclidean geometry is relevant and popular.Алиджанов Анвар
Yes, geometry is really an intriguing and mystical subject. Plato considered geometry one of the first approaches to philosophy!
ОтветитьУдалитьThis quote belongs to Euclid.
Thanks for such an informative video!
Navruzbekova Jamilya
I think geometry is not inriguing and mysterious.
ОтветитьУдалитьThe quotation belong to Euclid and addressed to the king of Egypt Ptolemy I.
Этот комментарий был удален автором.
ОтветитьУдалить1.Yes, I think geometry is intriguing and mysterious subject. This science is full of unsolved problems that scientists can't give an answer. It makes geometry a really mysterious subject.
ОтветитьУдалить2.This quote belongs to Euclid.
Great video about Euclid. Very exciting and accessible presentation of the necessary information
ОтветитьУдалитьАбакарова Мадина
Very interisting and informative video. I think that people should study geometry because it affects us every day. It helps us better to understand the world around us. 1. In my opinion geometry is difficult and mysterious subject. 2.This quote belongs to Euclid.
ОтветитьУдалить1. Yes, geometry is intriguing and mysterious subject. Geometry is connected with such Sciences as engineering, physics, and astronomy, which makes it possible to make new discoveries and develop promising projects.
ОтветитьУдалить2. This quote belongs to Euclid.
this is a very important and interesting video, knowledge of geometry in the modern world is simply necessary, Euclid made a huge contribution to the development of mathematics and geometry, textbooks based on it are used all over the world
ОтветитьУдалитьВоронин Денис
Very useful and interesting video.Euclid was an ancient Greek mathematician and was of great importance to mathematics.
ОтветитьУдалитьHe wrote the first book on mathematics and geometry.In the modern world, mathematics is one of the main sciences.
Мамаев Аскерхан
Interesting and very useful view about Euclid.
ОтветитьУдалитьThanks to Euclid, many discoveries were made. He logically and scientifically created the format of mathematics that is known to the world today.
Темирсултанов Амирхан
This video is worth watching for everyone.
ОтветитьУдалитьGeometry gives an idea not only of the figures, their properties, but also teaches to reason, pose questions, analyze, draw conclusions, think logically.Euclid's contribution to science is enormous - without him, probably, mathematics would not have been able to open up so much to scientists. His name is inextricably linked with geometry, the study of space.
Very informative and interesting video! I learned a lot about Euclid and his contribution to geometry, he was one of the first who began to study this science, which dates back to ancient Greece. His works have been translated into many languages around the world and are used to this day. Amaeva Patimat
ОтветитьУдалитьEuclid made a great contribution to the mathematical sciences, in this video we talk about his first axiom and the first book he wrote. And the phrase "There is no royal road to geometry" also belongs to Euclid
ОтветитьУдалитьMagomedov A
Geometry is indeed a very mysterious subject. Despite this, Euclid found a way to help people understand geometry with his axioms, such as: 1) a point has no width and length; 2) One and only one straight line can be drawn through any two points on the plane; and others.All this is shown to us in this video.
ОтветитьУдалитьThe story of Euclid in this video and his ideas on how to explain different things starting from something simple is interesting. He introduced the concept of a point and an axiom, and also showed that the shortest distance between two points is a straight line connecting them. These and his other undertakings helped people in the knowledge of mysterious geometry.
ОтветитьУдалитьMagomedov Shakhmanay
A very interesting and informative video. His textbook "Elements" remains in high demand and is one of the most widely published books in the world.
ОтветитьУдалитьЭскерова Нурия 3 курс 2 группа
Geometry is really a mysterious science, but Euclid with his textbook Elements helped to understand this science and even to this day this book is being republished
ОтветитьУдалитьEuclid is truly an outstanding man who, despite the fact that he lived 2300 years ago, wrote such outstanding concepts in geometry, which were used for more than 1000 years after his death. With his outstanding concepts, he once again proved that everything ingenious is simple. And really for a very long time no one could argue with him, since these are such simple concepts that absolutely anyone can understand.There is nothing else to do but to say everything ingenious is simple
ОтветитьУдалитьI liked this really very interesting and informative video! It is useful to know what contribution Euclid made to science of the past and how important it was, who made many discoveries and whose work have been translated into many languages. Thanks to this video, I not only consolidate the material covered about "through any two points you can draw a straight line, and only one", but also learned about its discovery. I think it's truly essential information.
ОтветитьУдалить1. Yes, I think geometry is a very amazing, intriguing, unique and mysterious object.
2. The ancient Greek king Ptolemy I demanded that Euclid, who explained the laws of geometry to him, search a shorter way to learn geometry than the one described in the principles. He replied, that "There is no royal road to geometry".
A disciple of Plato, Euclid wrote in 13 books, in them scientist explained the basics of geometry "the science of measuring the Earth", which for many centuries was called Euclidean geometry. Is the cited argument that it takes a lot of effort to master mathematics or any other science.
1. Yes, of course. This science is full of unsolved problems that scientists can't give an answer. It makes geometry a really mysterious subject. Geometry is connected with such sciences as engineering, physics, and astronomy, which makes it possible to make new discoveries and develop promising projects.
ОтветитьУдалить2. The quote belongs to Euclid.
Alieva Asya
p.s. Hello from Elya :3
I would not say that geometry is mysterious, I would
ОтветитьУдалитьsay "Amazing Geometry", as it helped
people develop craft, culture and art.
Thanks to Euclid's axioms, people were able to learn
geometry and apply it in various situations.
Magomedow Ramazan 3k 2gr
The video is very informative, interesting and historical. As for Euclid, we can say about him that he is indeed a great ancient Greek mathematician. Euclid's axioms are the basis of geometry, according to which further discoveries have been and are being made.
ОтветитьУдалитьСулеймановна Саида 3 курс 2 группа
Yes, I think geometry is an intriguing and mysterious subject.
ОтветитьУдалитьIt is also considered very interesting . I didn't like geometry at school, but now I like it. It is very interesting to solve geometric problems step by step.
"There is no royal road to geometry" belongs to Euclid.
Euclid is an ancient Greek mathematician, geometer, author of the first extant theoretical treatises on mathematics.
Thank you very much for such an informative and interesting video. Thanks to him, I not only remembered the axiom (you can draw a straight line through any two points, and only one.), but also learned about its discovery.
Indeed, Euclid made a huge contribution to mathematics.
Зайнудинова К 3к2гр
This is a very interesting video about the formation of geometry and the discoveries of Euclid. Geometry is a very interesting and at the same time difficult science that develops spatial imagination. A great contribution to the development of this science was made by Euclid, who described the basic elements and axioms of geometry. No matter how easy they may seem to us, students of the mathematical university, they were a huge discovery in ancient times. Euclid was a very great scientist who laid the foundations of modern geometry, studied to this day in universities.
ОтветитьУдалитьS. A. 4g 2c
Geometry is really a very intriguing and mysterious subject.
ОтветитьУдалитьThe Egyptian ruler Ptolemy I Soter visited the thinker and asked if there was a shorter way to learn geometry than the one described in the Principles. The answer of the ancient thinker Euclid: "There is no Royal road to geometry" - is cited as a brilliant argument in favor of the need to make a lot of effort to master mathematics or any other science. Thanks for the useful video.
Абдулаев А
1.Yes, I think geometry is an intriguing and mysterious subject.
ОтветитьУдалитьGeometry is harmony.I took a special interest in her at school. Figures, squares, Pythagorean theorem, etc. - all these are the fruits of geometry. And geometry has made a great contribution to the development of the world.
There are many more different examples of architectural features surrounding a person from time immemorial. Some of them were created by nature itself. The peculiarities of their origin are still unknown to man and amaze his imagination.
This providing once again that geometry appeared in people's lives together with the development of human thinking.
Every day, a lot of different geometric lines and surfaces are used by people in their activities, and using geometric data and calculations, they solve various technical problems with the greatest accuracy.
2.This quote belongs to Euclid.
Ramazanov E. 4g 2c
In the third century BC, the great ancient Greek mathematician was Euclid, because he outlined geometry with statements that did not require proof - axioms. That is, he explained it in such simple language that a person who found it difficult to understand anything in this subject understood it, thereby Euclid laid the foundations of this complex science. I will also add that, proving his axioms, more complex statements were derived.
ОтветитьУдалитьI think geometry is a really intriguing and mysterious subject. If you want to read something interesting, then just open the geometry textbook, that will be enough. But this science is difficult to understand without due effort, and it is this meaning that Euclid tried to bring with a quote: "There is no royal road to geometry belongs."
Saidova R. 2c4g
ОтветитьУдалитьGeometry is really a very intriguing and mysterious subject.
Euclid was the first to set the task of substantiating geometry, i.e. enumerating definitions and axioms on the basis of which geometry can be developed in a strictly logical way. This is the historical merit of Euclid to science. The logical construction of geometry was carried out by Euclid for his time extremely accurately. And, of course, this phrase belongs to him.
Ussaeva Zumrud
Yes, I think geometry is intriguing and mysterious subject. The quotation "There is no royal road to geometry" belong to Euclid. Thank you for such an informative and fun video. Thanks to him, I not only remembered the axiom (Through any two points you can draw a straight line, and only one.), but also learned about its discovery. Indeed, Euclid is one of the greatest mathematicians who made many discoveries and whose work have been translated into many languages
ОтветитьУдалитьSharapudinov Hasai
This video is very interesting and informative. Here they formulated another axiom that I always forget.
ОтветитьУдалить1. Yes, I think geometry is a very intriguing and mysterious subject. That's what I like about her.
2. The quote "There is no royal road to geometry" belongs to Euclid. Euclid is an outstanding ancient Greek mathematician, geometer. He introduced many of the greatest discoveries into science, on the basis of which other subsequent discoveries were developed.
Шихаева Асия 3 курс 2 группа
The video is very informative and interesting, because in the modern world, knowledge of geometry is necessary.This video tells about the great Greek scientist Euclid.His contribution to the development of geometry is simply enormous.His work "The Elements" laid the foundation for geometry.Thanks to this video, I also remembered the axiom "Through any two points you can draw a straight line and only one".Ахмедов Р.2к3н
ОтветитьУдалитьGeometry, as a systematic science, originated in ancient Greece. Geometry is a branch of mathematics that studies spatial relations and shapes. The word geometry is Greek, translated into Russian means land surveying. This name is associated with the use of geometry for measurements on the ground. Geometry in its original meaning is the science of figures, the mutual arrangement and dimensions of their parts, as well as the transformations of figures. One of the most outstanding scientists in the field of geometry is Euclid. The laws and principles discovered by him still underlie this science.
ОтветитьУдалитьKamilov Kamil 2k. 3g.
Geometry is a branch of mathematics that studies spatial relations and forms, as well as other relations and forms similar to spatial ones in their structure. The origin of the term Geometry, which literally means "earth surveying", can be explained by the following words attributed to the ancient Greek scientist Eudemus of Rhodes (4th century BC): "Geometry was discovered by the Egyptians and arose when measuring the Earth. This dimension was necessary for them due to the flooding of the Nile River, which constantly washed away the borders. Geometry as a mathematical science appeared in ancient Greece, its axiomatic constructions are described in Euclid's Elements. Euclidean geometry was engaged in the study of the simplest figures in the plane and in space, the calculation of their area and volume.
ОтветитьУдалитьМагомедов Ильяс
Удалить2 курс 3 группа
Geometry is a branch of mathematics that studies spatial structures and relationships, as well as their generalizations.
ОтветитьУдалитьGeometry as a systematic science appeared in ancient Greece, its axiomatic constructions are described in Euclid's Elements. Euclidean geometry was engaged in the study of the simplest figures in the plane and in space, the calculation of their area and volume.
1. Yes, it is. The value of geometry in the modern world is very great, not one profession can do without it. However, not all schoolchildren know this, telling interesting facts from the history of the application of geometry, the opportunity to interest a much larger number of students in the subject increases significantly. Today, geometry is not just a discipline from a school course, but a really important and relevant science for a modern and educated person.
2."There are no royal paths to geometry"
The answer of the famous mathematician of Ancient Greece Euclid (3rd century BC) to King Ptolemy 1, when he asked the scientist if there was an easier way to study geometry than the one offered by Euclid to his students.
The meaning of the expression: only one path leads to success in any business - work, patience, talent.
Ali Aliev 2g 3k
Этот комментарий был удален автором.
ОтветитьУдалить*The importance of geometry in the modern world is very great, not one profession can do without it. However, not all schoolchildren know this, telling interesting facts from the history of the application of geometry, the opportunity to interest a much larger number of students in the subject increases significantly. Today geometry is not just a discipline from a school course, but a really important and relevant science for a modern and educated person.
ОтветитьУдалить*The quotation «There is no royal road to geometry», belongs to the famous ancient Greek scientist Euclid
Sheihov Magomed 2g 3k
The video is very informative and interesting, because in the modern world, knowledge of geometry is necessary.This video tells about the great Greek scientist Euclid.His contribution to the development of geometry is simply enormous.His work "The Elements" laid the foundation for geometry.Thanks to this video, I also remembered the axiom "Through any two points you can draw a straight line and only one" Абдуллаев Магомед 3гр 2к
ОтветитьУдалитьGeometry is a branch of mathematics that studies spatial relations and forms, as well as other relations and forms similar to spatial in their structure.
ОтветитьУдалить1. Geometry is really a very amazing, unique and informative subject. One has only to study it in depth and you will immediately understand what interesting and informative theorems, axioms and proofs are given in it.
2. The quote "There is no royal road to geometry" belongs to Euclid. When King Ptolemy 1 asked the scientist, "Is there no easier way to study geometry than the one that Euclid offers his students?", he replied, "There is no royal road to geometry."
The meaning in these words is that there is only one way to success in any business — work, patience, talent.
Thank you very much for such an informative video about the elements of Euclid. Euclidean elements have had a huge impact on the development of geomeotry up to our time. His book has been translated into many languages.
Khadiev A. 2k 3gr
ОтветитьУдалитьYes, I think geometry is intriguing and mysterious subject. The quotation "There is no royal road to geometry" belong to Euclid. Thank you for such an informative and fun video. Thanks to him, I not only remembered the axiom (Through any two points you can draw a straight line, and only one.), but also learned about its discovery. Indeed, Euclid is one of the greatest mathematicians who made many discoveries and whose work have been translated into many languages.
Khalatipov Isa 2k 3g
Geometry, as a systematic science, originated in ancient Greece. Geometry is a branch of mathematics that studies spatial relations and shapes. The word geometry is Greek, translated into Russian means land surveying. This name is associated with the use of geometry for measurements on the ground. Geometry in its original meaning is the science of figures, the mutual arrangement and dimensions of their parts, as well as the transformations of figures. One of the most outstanding scientists in the field of geometry is Euclid. The laws and principles discovered by him still underlie this science.
ОтветитьУдалитьАбдуллаев Магомед 3гр 2к
Euclid is one of the most famous mathematicians all over the world. During his life he made a lot of discoveries in geometry and considered the “father of geometry”. Also he create a theory founded on the axiom system first shown Euclid’s “Elements”. In fact, without Euclid mathematics couldn’t be able to open up so much to scientists. Geometry is a very difficult subject, but Euclid found a way to help people understand geometry with his axioms. For example, a point has no width and length; one and only one straight line can be drawn through any two points on the plane; and others. Every day a lot of people use his transactions to solve various technical problems with the greatest accuracy.
ОтветитьУдалитьЭтот комментарий был удален автором.
ОтветитьУдалитьEuclid lived many years ago in Ancient Greece before our era.He wrote the first great book on mathematics and geometry "Elements".This is a really good book,that was used in schools well into the 20th century.
ОтветитьУдалитьEuclid said " The shortest distance between two points is a line. This is a length without width". He called it an axiom.
The main advantage of Euclid was that his definitions were very easy and clear. For example, a point is that part of which there is nothing.
Geometry is really intriguing and mysterious subject.
"There is no royal road to geometry," said Euclid.
Шахбанова Х. 3к 2гр
Euclid is a Greek mathematician who contributed to the development of mathematics and geometry.
ОтветитьУдалитьThe Egyptian ruler Ptolemy I Soter was a thinker and determined whether there is a shorter way to study geometry than the one described in the Elements. The answer of the ancient thinker Euclid: “There is no royal road in geometry” is given as a brilliant argument in favor of the need to make many achievements to master mathematics or any other science. The video was interesting, thank you very much.
Талибова А. 3к 2гр
Абдуллаев Гамзат 3 курс 2 группа
ОтветитьУдалитьIn fact, geometry is a very difficult subject. Maybe we couldn’t understand this branch of mathematics without using Euclid geometry. Euclid is one of those mathematicians who change the world by his discoveries. His book, called “Elements”, is one of the most famous book of mathematics. His geometry begins with using axioms. The most fundamental idea in the study of geometry is the idea of a point. Also there are axioms about two points lying on the straight line, three points and so on
We learn geometry at schools, institutes, but don’t realise who made the geometry in the most simplest way for understanding for us. And we don’t realise that without Euclid’s base there won’t be any further discoveries in this science. We must agree that the importance of geometry is very great nowadays and there isn’t any specialist in exact sciences who doesn’t know geometry
Этот комментарий был удален автором.
ОтветитьУдалитьGeometry is a very mysterious and interesting subject. By 300 B.C. geometry became an independent mathematical science. By this time, the ancient Greek scholar Euclid (III century BC) wrote a book he called "Beginnings". Euclid collected almost everything that had been created before him, according to geometry, and brought it into a coherent single system. He took as a basis certain provisions, the so-called axioms, and from them, by successive reasoning, he was able to derive all the theorems of geometry.
ОтветитьУдалитьThe quote "There is no royal road to geometry" belongs to Euclid. King Ptolemy I defined Euclid: Is there an easier way to study geometry than the one suggested by Euclid? To this the scientist replied: “There are no royal paths to geometry.
Thanks for the informative and very helpful video.
Алхасова Эрзи, 3к 2гр
We can't live without using
ОтветитьУдалитьgeometry nowadays. Geometry
is a branch of mathematics
that studies spatial structures
and relationships, as well as
their generalizations. But not
everyone know who is the
founder of geometry. It's a Greek
mathematician Euclid who put
all the known fact about Greek
geometry into a logical sequence.
He wrote a book that is famous
now all over the world called
“Elements”. Nowadays Euclid
geometry is the easiest for understanding because he made it by relying on his axioms and discoveries . The most famous his
axioms are about the point (the
point idea), line and line segments
and so on. All the further
discoveries were made by using
the Euclid’s axioms, in fact. In spite
of the difficulty of understanding
geometry, Euclid really tried to help people understand it, and his merit is in that he had successfully done it for us.
Шуайбов Шуайб 3к 2гр
Geometry is a branch of mathematics that studies spatial structures and relationships, as well as their generalizations.Geometry as a systematic science appeared in Ancient Greece, its axiomatic constructions are described in Euclid's Principles. Euclidean geometry was engaged in the study of the simplest figures on the plane and in space, calculating their area and volume. The coordinate method proposed by Descartes in 1637 formed the basis of analytical and differential geometry, and the problems associated with drawing led to the creation of descriptive and projective geometry.
ОтветитьУдалитьЦитаты недели:
ОтветитьУдалить1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен)
2.Без геометрии жизнь бессмысленна (Неизвестный автор)
3. Вдохновение необходимо в геометрии так же сильно, как и в поэзии (А.С.Пушкин)
В одной легенде говорится, что однажды египетский царь Птолемей I спросил древнегреческого математика, нет ли более короткого пути для понимания геометрии, чем тот, который описан в его знаменитом труде, содержащемся в 13 книгах.
Ученый гордо ответил: " В геометрии нет царской дороги".
Евклид говорил царю, желающему без усилий получить знания, что в геометрии нет царской дороги. Корыстолюбцу же, не понимающему, зачем люди занимаются наукой, он с презрением подавал мелкую монетку: «ты ищешь выгоды, а не знаний» . Этот высокий уровень нравственности, доступности и глубины знания.
1. Yes,it is.
ОтветитьУдалить2. Legend has it that when Euclid showed his work to Pharaoh, he was asked if there was any shortcut to understanding his work, to which Euclid replied: "There is no royal road to geometry."
1. Геометрия — это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения.
ОтветитьУдалить(Сэр Кристофер Рен).
2.Без геометрии жизнь бессмысленна.
(Неизвестный писатель)
3. Вдохновение нужно в геометрии так же, как и в поэзии.
(А.С.Пушкин)
1. I think that geometry is an intriguing and mysterious subject because it is a very interesting science that contains many complexities.
2. It belongs to Euclid.
Кавсуруева Хадижат
Этот комментарий был удален автором.
ОтветитьУдалитьОсманова Джамиля
ОтветитьУдалить1)Геометрия — это часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения.
2)Без геометрии жизнь бессмысленна.
3)Вдохновение нужно в геометрии так же как в поэзии.
1)Yes,it is. Geometry is an important branch of mathematics . It investigates a lot of interesting things!
2) The quotations belongs to Euclid.
Шамсиев Имран
ОтветитьУдалить1)Геометрия — это часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения.
2)Без геометрии жизнь бессмысленна.
3)Вдохновение нужно в геометрии так же как в поэзии.
1)Yes. The value of geometry in the modern world is very great, not a single profession can do without it. However, not all schoolchildren know this, telling interesting facts from the history of the application of geometry, the ability to interest a much larger number of students in the subject increases significantly.
2)it was a Euclidean quote
The video is very informative, interesting and historical. As for Euclid, we can say about him that he is indeed a great ancient Greek mathematician. Euclid's axioms are the basis of geometry, according to which further discoveries have been and are being made.
ОтветитьУдалитьСагидов Абдулла
ОтветитьУдалить1)Геометрия — это часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения.
2)Без геометрии жизнь бессмысленна.
3)Вдохновение нужно в геометрии так же как в поэзии.
1)Considering how difficult geometry has always been for me, this is a truly mysterious subject for me. But it is difficult to imagine our world without geometry, because in fact almost everything that is created by man cannot do without it.
2)This quote belongs to the mathematician Euclid.
Габибов Акбар
ОтветитьУдалить1)Геометрия — это часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения.
2)Без геометрии жизнь бессмысленна.
3)Вдохновение нужно в геометрии так же как в поэзии.
1)Yes. The value of geometry in the modern world is very great, not a single profession can do without it. However, not all schoolchildren know this, telling interesting facts from the history of the application of geometry, the ability to interest a much larger number of students in the subject increases significantly.
2)it was a Euclidean quote
Латифов Имам
ОтветитьУдалитьЦитаты:
1. Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения (сэр Кристофер Рен) 2.Без геометрии жизнь бессмысленна (неизвестный писатель) 3. Вдохновение необходимо в геометрии так же, как и в поэзии (А. С. Пушкин)
1.Yes, without geometry, there would be no human civilization in the form in which we know it. 2.Euclid
2300 years ago in ancient Greece there lived a man named Euclid
Euclid wrote the first great book on mathematics and geometry.
we are still using it every day at school
all the best ideas are simple and brilliant and Euclid had a really simple and brilliant idea.
he thought he would explain stuff from the very beginning by finding something very simple that everyone could agree with and he would build on that simple idea
he decided that simple point, a fixed position in space, with a good place to start.
you can think of a point as if it were an “x” on a map that shows where the treasure has been buried.
Euclid explained this to his friends and they said “what a simple and brilliant idea! we get the point!”
“now” said Euclid “let’s make another point and join the two points together”
when we connect the two points together we call the shortest distance between two points a line. a line is a thing that has length but no breaks. линия ограничивается точками
“yes” everyone agreed “we understand”
i am going to call this an axiom said Euclid. an axiom is something everyone can agree with
Euclid wrote a book on geometry called Elements. In it, he outlined many geometric theorems and axioms. One of these axioms says that only one straight line can be drawn between two points.
ОтветитьУдалитьМагомедов Арслан 2к 4гр
1. Geometry is that part of universal mechanics which accurately proposes and demonstrates the art of measuring (Sir Christopher Wren)
ОтветитьУдалить2.Without geometry life is pointless (Unknown writer)
3. Inspiration is needed in geometry just as much as in poetry (A.S.Pushkin)
1)Yes. More importantly, geometry is a phenomenon of universal culture. The history of geometry reflects the history of the development of human thought, and some geometric theorems are among the oldest monuments of world culture.
2)The quote belongs to Euclid and I will give an example of how the phrase appeared.
Ptolemy I, the king of Egypt, being interested in geometry, once asked its founder, the great mathematician Euclid (III century BC), whether it was possible to master it more easily and quickly. "There are no royal ways to geometry! " replied the latter with stern dignity. With this phrase the scientist wanted to say that science is a business in which no privileges are possible.
The royal ways are the peculiar highways of antiquity. By them the ancient Greek scholar meant smooth, level roads laid by order of the Persian kings within the borders of the states.
Magomedov Shapi
What a great video about Euclid and the beginning of the development of geometry
ОтветитьУдалить1.Now, Algebraic Geometry is one of the oldest, deepest, broadest and most active subjects in Mathematics with connections to almost all other branches in either a very direct or subtle way. The main motivation started with Pierre de Fermat and René Descartes who realized that to study geometry one could work with algebraic equations instead of drawings and pictures
2.According to the philosopher Proclus, Euclid famously quipped: "Sire, there is no royal road to geometry."
Nazhmudinov Nabi
1) The importance of geometry in the modern world is very great, no profession can do without it. However, not everyone knows this, telling interesting facts from the history of the application of geometry, the opportunity to interest a much larger number of students in the subject increases significantly. Today geometry is not just a discipline from a school course, but a really important and relevant science for a modern and educated person. 2) This quote belongs to the great mathematician Euclid. The answer of the famous mathematician of Ancient Greece Euclid to King Ptolemy 1, when he asked the scientist if there was no easier way to study geometry than the one that Euclid offers to his students.
ОтветитьУдалитьMeaning of the expression: there is only one way to success in any business — work, patience, talent.
1.Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения
ОтветитьУдалить2.Без геометрии жизнь бессмысленна
3.Вдохновение необходимо в геометрии так же, как в поэзии
Euclid wrote the first great book on mathematics and geometry. Which is still used in schools today. Euclid had a simple idea. He wanted to explain things from the beginning by finding something very simple that everyone could agree on and he could develop that simple idea. He decided that a simple point, a fixed position in space, would be the beginning.
You can think of the dot as if it were an "x" on a map showing where the treasure is buried.
Euclid told other scientists about this, and they agreed: "What a simple and brilliant idea! We get the point!"
"Now," said Euclid, "let's put a second dot and join them together."
When we connect two points together, we will call the distance between the two points a line. A line is something that has length but no width. The line is limited to points. Other scientists agreed with him "yes, we understand"
I'll call it an axiom said Euclid. an axiom is something that everyone can agree on
1.yes it's, geometry really is very useful and mysterious subject.
Удалить2.Euclid
1.Геометрия - это та часть универсальной механики, которая точно предлагает и демонстрирует искусство измерения
ОтветитьУдалить2.Без геометрии жизнь бессмысленна
3.Вдохновение необходимо в геометрии так же, как в поэзии
One legend says that once the Egyptian king Ptolemy I asked the ancient Greek mathematician if there was a shorter way to understand geometry than that described in his famous work, contained in 13 books. The scientist proudly answered: "There is no royal road in geometry." Euclid told the king, who wanted to gain knowledge without effort, that in geometry there is no royal road. To the greedy man, who does not understand why people are engaged in science, he contemptuously gave a small coin: "You are looking for benefits, not knowledge." This high level of morality, accessibility and depth of knowledge.
Шамиль Имаев.
Yes, geometry is indeed a very interesting and intriguing science that helps people to understand the world
Удалить1. Geometry offers a plethora of fascinating mathematical discoveries that make it both captivating and enigmatic.
ОтветитьУдалить2. The quotation "There is no royal road to geometry" is attributed to the ancient Greek mathematician Euclid.
Abdulkadirov Gadjimurad
1. In my humble opinion, the geometry is really a very mysterious subject but not very interesting.
ОтветитьУдалить2. „There is no royal road to geometry.“
Reply given when the ruler Ptolemy I Soter asked Euclid if there was a shorter road to learning geometry than through Euclid's Elements.The "Royal Road" was the road built across Anatolia and Persia by Darius I which allowed rapid communication and troop movement
Salikhov Magomedshapi
1.Exploring real objects, geometry
ОтветитьУдалитьconsiders only their form and
relative position.
This allows you to move from spatial relationships between
real objects to any relationships
and forms that arise, when considering homogeneous objects and are similar to spatial. It is really mysterious.
2.The quotation "There is no royal road to geometry" belongs to the famous Greek scientist Euclid.
Mamaeva Aida 2k4g
1) Geometry in its original meaning is the science of figures, the mutual arrangement and dimensions of their parts, as well as the transformations of figures. The ancient Greek scientists Euclid and Pythagoras made an invaluable contribution to the development of this science. The principles they discovered still underlie it. Therefore, in fact, classical geometry is called Euclidean. In my opinion, geometry is not a very interesting subject, but you need to know at least the basics of this subject, there is definitely a mystery in this subject.
ОтветитьУдалить2) This quote "There is no royal road to geometry belong to?" belongs to the ancient Greek mathematician Euclid.
Khalid Aliev
axioms is one of the most important part of geometry. we can’t solve different problems without them because all the most difficult problems are needed to use axioms. but not everyone think who was their founder. all famous axioms of geometry were discovered by one of the most famous mathematicians all over the world - Euclid. he put all his knowledges in his book called “Elements”. Euclidean geometry was engaged in the study of the simplest figures in the plane and in space, the calculation of their area and volume. in fact, there are five Euclid’s axioms. they are : a point has no width and length; one and only one straight line can be drawn through any two points on the plane; and others. Euclid gave us big understand of such old and difficult subject as geometry. every day a lot of people use his transactions to solve various technical problems with the greatest accuracy.
ОтветитьУдалитьAlikhanova Layla, 2 course 4 group
1)geometry is interesting when finding equal angles when using signs of equality and similarity of triangles when searching for equal sides of figures inscribed and circumscribed about a circle by its axioms and theorems but the geometry doesn't seem right to me
ОтветитьУдалить2)The quotation "There is no royal road to geometry" is attributed to the ancient Greek mathematician Euclid. It appears in his book "Elements," which is a foundational work in the field of mathematics and geometry. The phrase means that there is no easy or shortcut way to learn or understand geometry; one must work hard and diligently to grasp its concepts and principles.
1. Geometry is a fundamental science, a part of mathematics that studies figures and their properties on a plane and in space.
ОтветитьУдалитьGeometry has always been interesting and mysterious.
For example, imagine a circle. Whatever the circle, if the length of this circle is divided by the diameter of the same circle, then we get a constant numerical value (Number pi = 3.1415....). Why? How is this possible? We get similar ideas from the abstract space and apply them in the real world. It already looks like magic. And there are many such amazing facts, and they are very actively used in our lives. I think my answer is clear.
2. The quotation "There are no royal roads in geometry" belongs to the famous Greek scientist Euclid of Alexandria. Euclid, the greek mathematician, is referred to as "Father of Modern Geometry". The meaning of the expression: only one path leads to success in any business - hard work and patience.
Geometry is a branch of mathematics that studies spatial relations and forms, as well as other relations and forms similar to spatial ones in their structure. The word geometry is Greek, translated into Russian means land surveying. This name is associated with the use of geometry for measurements on the ground. Geometry as a mathematical science appeared in ancient Greece, its axiomatic constructions are described in Euclid's Elements. Euclidean geometry was engaged in the study of the simplest figures in the plane and in space, the calculation of their area and volume.
ОтветитьУдалитьGirey Gireev
Geometry is really a very interesting and mysterious subject.
ОтветитьУдалитьThe Egyptian ruler Ptolemy I soter visited the thinker and asked if there was a shorter way to study geometry than the one described in the principles. The answer of the ancient thinker Euclid: "There is no real way in geometry" is translated as a brilliant argument for the need to make a lot of effort to master mathematics or any other science. Thanks for the help of the video.
Geometry is a fascinating and mysterious subject. Whose father is Euclid. His main book "Elements" became the basic work of important mathematical teachings. He formulated his knowledge in planimetry and stereometry in the form of axioms and postulates. And the quote "There is no royal road to geometry" belongs to Euclid. This expression was an answer to Ptolemy 1 question "Is there an easier way to study geometry than the one suggested by Euclid?"
ОтветитьУдалитьThanks for the helpful video.
Абдусамадов Магомедтагир, 3 курс 2 группа
Geometry, as a systematic science, originated in ancient Greece. Geometry is a branch of mathematics that studies spatial relations and shapes. The word geometry is Greek, translated into Russian means land surveying. This name is associated with the use of geometry for measurements on the ground. Geometry in its original meaning is the science of figures, the mutual arrangement and dimensions of their parts, as well as the transformations of figures. One of the most outstanding scientists in the field of geometry is Euclid. The laws and principles discovered by him still underlie this science.
ОтветитьУдалитьМаммаева А.Ю
ОтветитьУдалитьBased on the quotations provided, it can be inferred that geometry is regarded as an important and fascinating subject, with its applications in measuring and artistic inspiration.
The quote "There is no royal road to geometry" is attributed to the ancient Greek mathematician, Euclid. The phrase is often quoted to mean that there are no shortcuts or easy paths to understanding geometry, and that it requires diligent study and effort to master.
Axioms are one of the most important parts of geometry. we cannot solve various problems without them, because all the most difficult problems are necessary to use the axioms. but not everyone thinks who was its founder. all known axioms of geometry were discovered by one of the most famous mathematicians in the world: Euclid. he put all his knowledge into his book called The Elements. Euclidean geometry was devoted to the study of the simplest figures in the plane and in space, the calculation of their area and volume .. in fact, there are five axioms of Euclid. yes: point has neither width nor length; through any two points of the plane one and only one straight line can be drawn; And others. Euclid gave us a deep understanding of such an ancient and difficult subject as geometry. Every day, many people use their transactions to solve various technical problems with maximum accuracy.
ОтветитьУдалитьGeometry is the part of universal mechanics that accurately offers and demonstrates the art of measurement.The quotation "There is no royal road to geometry" belong to Euclid. Thank you for such an informative and fun video.
ОтветитьУдалитьGeometry is a beautiful and mysterious subject. father of the subject is Euclid. His main book "Elements" became the basic work of important mathematical teachings. He formulated his knowledge in planimetry and stereometry in the form of axioms and postulates. And the quote "There is no royal road to geometry" belongs to Euclid. This expression was an answer to Ptolemy 1 question "Is there an easier way to study geometry than the one suggested by Euclid?"
ОтветитьУдалить1. Is geometry really a very intriguing and mysterious subject?
ОтветитьУдалитьMany people find geometry to be intriguing and mysterious because it involves studying patterns, shapes, and spatial relationships. Geometry has a long history and has been studied by civilizations around the world for centuries, which adds to its mystique. Additionally, geometric principles are often used in fields such as architecture, art, and physics, further contributing to its fascination.
2. Whom does the quotation There is no royal road to geometry belong to?
The quotation "There is no royal road to geometry" is attributed to the ancient Greek mathematician, Euclid. Euclid's Elements, written around 300 BCE, is one of the most influential works in the history of mathematics and serves as the foundation for the study of geometry. The quote reflects the idea that, in order to truly understand and master the subject, one must put in the effort and work through the logical reasoning and proofs involved.
Yakubkhanova Gyuriyat M. 4к. 1гр.
The video is very informative. Euclid made a great contribution to science. His works have been translated into many languages. He made many discoveries that led to the development of mathematics and geometry. One of his greatest works is "Elements", which is the foundation for the further development of mathematics.
ОтветитьУдалитьAlieva Sh 4kr 1gr
i’ve never seen a more interesting and educating video about Euclid. the way the author explains the theory is unbelievable. ive learn a lot and i hope that we will have a much more videos like that. thank you so much for this information!
ОтветитьУдалитьGadjieva Kistaman 4 к. 1гр.
Very interesting and informative video! It is extremely useful to know what contribution Euclid made to science. His works have been translated into many languages. Undoubtedly Euclid made many discoveries, which became the impetus in the development of mathematics and geometry.
ОтветитьУдалитьAlimagomedova Eminat 3к. 1гр.
Thank you for the informative video, it was very interesting to watch it.
ОтветитьУдалитьEuclid is rightfully considered the "father of geometry". He laid the foundations of this field of knowledge and raised it to the proper level, revealing to society the laws of one of the most complex branches of mathematics at that time. His works have been translated into many languages. It was he who gave the definition of a point and a straight line, saying that a "point" is something that has no parts, and a straight line or just a straight line segment is a line along which the distance between two points is the shortest. Then he defined simple geometric shapes on the plane - a segment, a ray, a polyline. One of his greatest works is the mathematical treatise "Elements", consisting of 13 books, which covers a wide range of issues, from axioms and statements to stereometry and the theory of algorithms.
Abdurakhmanova Madina M. 4k. 1gr.
Этот комментарий был удален автором.
ОтветитьУдалитьChimareva Anastasiya 4к 1гр
ОтветитьУдалитьThank you for a very interesting video !Geometry is a fascinating and mysterious subject, whose father is Euclid.The ancient Greek scientist Euclid laid the foundations of geometry, which are as unchangeable as the universe itself. This science is still based on his discoveries, although other branches of it have appeared since then. Euclid devoted his whole life to mathematics, and he was lucky with teachers. His mentor was the famous Plato, a historian and philosopher known all over the world.His main book "Elements" became the basic work of important mathematical teachings. The geometric principles set out in the "Beginnings" have not lost their relevance to this day.The answer of the ancient thinker Euclid: "There is no Royal road to geometry" is given as a brilliant argument in favor of the need to make a lot of effort to master mathematics or any other science.
Euclid is one of those mathematicians who change the world by his discoveries. His book, called “Elements”, is one of the most famous book of mathematics. His geometry begins with using axioms. The most fundamental idea in the study of geometry is the idea of a point. Also there are axioms about two points lying on the straight line, three points and so on. The main advantage of Euclid was that his definitions were very easy and clear. For example, a point is that part of which there is nothing.
ОтветитьУдалить"There is no royal road to geometry," said Euclid.
Shefieva Kh.