Geometry was thoroughly organized in about 300 BC, when the Greek mathematician Euclid gathered what was known at the time, added original work of his own, and arranged 465 propositions into 13 books, called 'Elements'. The books covered not only plane and solid geometry but also much of what is now known as algebra, trigonometry, and advanced arithmetic.

Through the ages, the propositions have been rearranged, and many of the proofs are different, but the basic idea presented in the 'Elements' has not changed. In the work facts are not just cataloged but are developed in a fashionable way.

Even in 300 BC, geometry was recognized to be not just for
mathematicians. Anyone can benefit from the basic learning of geometry, which are how to follow lines of reasoning, how to say precisely what is intended, and especially how to prove basic concepts by following these lines of reasoning. Taking a course in geometry is beneficial for all students, who will find that learning to reason and prove convincingly is necessary for every profession. It is true that not everyone must prove things, but everyone is exposed to proof. Politicians, advertisers, and many other people try to offer convincing arguments. Anyone who cannot tell a good proof from a bad one may easily be persuaded in the wrong direction. Geometry provides a simplified universe, where points and lines obey believable rules and where conclusions are easily verified. By first studying how to reason in this simplified universe, people can eventually, through practice and experience, learn how to reason in a complicated world.

Geometry in ancient times was recognized as part of everyone's education. Early Greek philosophers asked that no one come to their schools who had not learned the 'Elements' of Euclid. There were, and still are, many who resisted this kind of education. It is said that Ptolemy I asked Euclid for an easier way to learn the material. Euclid told him there...

...through a point parallel to a given line. His decision to create this postulate enabled him to create what is now called, EuclideanGeometry, taking name after him. Not until the 19th century, was this postulate dropped and non-euclideangeometries were beginning to be studied.
Euclid's elements are divided into 13 books. The first six books are based upon just plane geometry. They give out properties of triangles,...

...Euclid “Father of Geometry”
Euclid is a Greek mathematician. He was also known as Euclid of Alexandria, “The Father of Geometry”. Little is known of his life other than the fact that he taught at Alexandria, being associated with the school that grew up there in the late 4th century B.C. It is believed that he taught at Plato's academy in Athens, Greece. Most history states that he was a kind, patient, and fair man. One story that exposes...

...Geometry (Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science...

...segment PQ:
In Euclideangeometry the perpendicular distance between the rays
remains equal to the distance from P to Q as we move to the right.
However, in the early nineteenth century two alternative geometries
were proposed. In hyperbolic geometry (from the Greek hyperballein,
"to exceed") the distance between the rays increases. In elliptic
geometry (from the Greek elleipein, "to fall short") the distance decreases and...

...come test time.
Research
For my research topic, I wanted to study Isaac Newton. But Mr. Corby wouldn’t let me do this. So I was given a less cool mathematician, Euclid.
Euclid was a Greek mathematician, and was often considered the “father of geometry.” He was born around 330 BC, and he got his training at Plato’s Academy in Athens. He taught mathematics at the Library of Alexandria in Alexandria, Egypt. His most celebrated accomplishment was his drafting of Elements, a...

...Little is know about Euclid, the father of geometry. Records show that he lived somewhere around 300 B.C. He was a Greek mathematician and is probably best known for his work Elements. Since little is known about the personal life of Euclid, it is difficult to do a biography on him.
His chief work, entitled Elements, is a comprehensive essay on mathematics. It includes 13 volumes that entail such subjects as plane geometry, dealing with the properties of flat...

...before him. Not only was Euclid a mathematician and a scientist, he was an author as well.
Euclid’s most well-known writing was a series of books called “The Elements”. The Elements were on subjects like circles, irrational numbers, 3D geometry, plane geometry and number theory. The Elements consist of five postulates and definitions. These books explained simple theories to detailed explanations of what a line is. Although he did not discover most of these...

...Module one-
Lesson 01.01
The terms point, line, and plane are referred to as undefined. When you write the definition of these terms, you have to rely on other terms that need defining.
Point- In general, a point is a location. Because points have no size, you can say they have no dimension.
Line- a "stream" of points that has no width or depth. You can also think of a line as points lined up next to each other that go on forever in opposite directions. Because you can measure the...