Geometry Through The Ages


As We know, Geometry is one of the oldest science. Geometry’s origins come from the Greek word geometria, Geo means “earth”, and metre means “measure.” So, Geometry means “earth measure” If we’re just talking literally here. But actually, Geometry is the series of mathematics that study carefully about shapes. Abstraction three-dimensional shapes in the real world. It involves the measurement, properties, and relationship all of shapes and sizes of things. Such as triangle, a circle, a rectangle, and much more.

In geometry, we often find the word “Postulate” and “Theorem.” In my opinion, Postulate is statement or basic assumptions that we don’t have to prove them. We can accept it as being true. That something is true because it appears to be true. Theorem is the opposite of a postulate, while a postulate is a statement accepted as true without proof, a theorem is a statement that we have to prove to be true. With the postulate and theorem, we can define a line, a rectangle, parallelogram, triangle, and any other shape of geometry.

Ok, that a little review about the geometry, and than I’d like to show you my analysis about the history of mathematics.

According my study in history of mathematics . This is a chronology that explain about the development of Geometry since the first time and mathematicians who have supported them.

- Geometry appeared since 1650 B.C. (Before Century), it can be proved at the Rhind Mathematics Papyrus (RMP), because there are many problems solving of algebra and geometry in there.

- Euclid (The Father of Geometry), he was A Greek Mathematician who lived around 300 B.C. The exact dates of his life aren’t known. He had written “Euclid’s Elements” that contain 13 books and outlines postulates, theorems, and definitions for use without the proof.

- Rene Descartes, French mathematician and philosopher who lived from 1596 to 1650.He was called Renatus Cartesius and he was being known as “The Father of Modern Philosophy”. He connected algebra to use in geometry. surely, His innovation becomes a fundamental of analytical geometry.

- Augustin Louis Cauchy (1789-1857), He was a great mathematician came from France. He could solve many problems of geometry intelligently and had developing the Euler’s Formula about the plain geometry.

- Pierre Laurent Wantzel (1814-1848), he made a research to proof, is the problems of geometry can be solved with a ruler or phase. As the result, he concluded that it couldn’t be.

And many other of Non-Euclidian Geometry mathematicians who had play an important role at the development of geometry. Such as Gauss (Germany) who invented the mistake of Euclid’s fifth postulate. Janos Bolyai and Nicolai Lobaachevsky (Hungary), they have proved the mistake of Euclid’s fifth postulate at different place. Beltrami (Italian), he was a pioneer of non-Euclidian Geometry. Cayley (British) with his non-dimensional geometry. Poincare (French), Felix Klein (Germany) with the analytical hyperbolic geometry. And Bernhard Riemann at the last, he was a Germany mathematician who gave the most effect and important contribution about the analysis and differential geometry in science. Therefore, appears the new shapes : hyperbole, parabola, ellipse. It is the answer that the whole of the earth is not follower of Euclidian.

It's My Self

Hello Everybody.. I’m university student at State University.of Yogyakarta. I have study about mathematics education. There are some subject matters that I have to learn such as geometry, trigonometry, calculus, algebra, and history of mathematics. At this time, I want to tell you my study experience in history of mathematics. i think history is an easy lesson but actually, it is not a simple as I thought. It needs an extra patient, step by step, and the most important is willingness to read more and more the contains of the topic we want to understand. Study of history, especially history of mathematics in my faculty is very interesting, fun and different with the other class lesson. I like to study about it, history makes us become a wiser man likes the philosopher has said that “Historie Vitae Magistrae”. It means, by learnt history, we earn to learn from former mistakes. With that mistakes ,we can get the truth. Because of that, we have to do something better than before. By learnt the history of mathematics, now, I know about the mathematicians and what they had been invented. For the example are how the phytagoras theorem was exist, who invented the syllogism, logical, square root of two, and the other interesting history.

Nowadays, the modern technology have been developed rately. So, it’s not difficult to learn history of mathematics, we can search some informations or data that we need by browsing in the internet or find them in encyclopedic.

So, I just give the conclusion that never give up to do something, don’t be afraid to try a new challenges and always work and study hard to reach our goal. Because if we want something to be true, the whole of nature will help us to make it really become true. Keep spirit and let’s have fun with history of mathematics.



Now, I just want to let you know the result of my study in History of Mathematics. ^_^

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