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Honros Geometry: One Step Congruence Proofs

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Euclidean Geometry

... finite fields. A projective plane coodinatized by a finite field exists for all prime power orders. Here is the table for projective plane in order 2----the smallest prime. I will show how to use the table to construct the Fano Plane. ...
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Hyperbolic geometry in the work of Johann Heinrich Lambert

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Geometry Quadrilaterals four-sided polygon Trapezoid

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COURSE CURRICULUM MAP

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History of geometry



Geometry (from the Ancient Greek: γεωμετρία; geo- ""earth"", -metron ""measurement"") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic).Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today. His book, The Elements is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century.In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See Areas of mathematics and Algebraic geometry.)
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