... the branch of mathematics that deals with the properties of space. Geometry is classified between two separate branches, Euclidean and Non-Euclidean Geometry. Being based off different postulates, theorems, and proofs, Euclidean Geometry deals mostly with two-dimensional figures, while Demonstrative, Analytic, Descriptive, Conic, Spherical, Hyperbolic, are Non-Euclidean, dealing with figures containing more than two-dimensions. The main difference between Euclidean, and ... are contained on the sphere and curve. Although the lines curve, they are still parallel to the sphere in hyperbo...

• Word Count: 1671
• Approx Pages: 7
• Has Bibliography

... : Not much younger than these [pupils of Plato] is Euclid, who put together the "Elements", arranging in order many of Eudoxus' theorems, perfecting many of Theaetetus's, and also bringing to irrefutable demonstration the things which had been only loosely proved by his predecessors. This man lived ... of the whole "Elements" the construction of the so-called Platonic figures (website two). Though Euclid is most famous for his writings on geometry, it is the quadratic formula that has been at the forefront of problems dealing with area, and in turn, dimensional objects. In about ... a sum...

• Word Count: 1938
• Approx Pages: 8

... Chios, Greece and died about 410 BC. He was a Greek merchant turned geometer who compiled the first known work on the elements of geometry. I chose to write about Hipprocates because the little-known people who contribute to the works of others should always be recognized. He was ... Chios is best known for his squaring of the circle and duplicating the cube. He wrote the first mathematical textbook, called the Elements of Geometry. His book was lost but many mathematicians were greatly influenced by his writing. Besides his book, Hippocrates major contribution to ancient mathematics was ...

• Word Count: 1099
• Approx Pages: 4
• Has Bibliography

... to have began from when he observed a solar eclipse on October 18, 320 and then since has focused his work on geometry. Everything associated with Pappus mathematical mind was included in the collection of books he wrote called "the synagogue". The purpose of the volumes were to ... revive geometry and restore it to a level of significance, usually by providing further explanations or supplements to the works of previous geometers. The knowledge ... virtue of their nature, but forcibly transferring others from their own places in a motion contrary to their nature; and it contrives to do...

• Word Count: 647
• Approx Pages: 3
• Grade Level: Undergraduate