Adlai E. Stevenson High School Course Description
... To use and apply previous knowledge of types of angles and find restrictions on angle measurements. ...
... To use and apply previous knowledge of types of angles and find restrictions on angle measurements. ...
GeoGebra Konferencia Budapest, január 2014
... • Properties of Euclidean geometry that are preserved in hyperbolic geometry are mainly those linked with the angles. But: in Euclidean geometry the sum of the angles of the triangle is constant. Not so in hyperbolic geometry. • Many other properties are not preserved such as those related to the di ...
... • Properties of Euclidean geometry that are preserved in hyperbolic geometry are mainly those linked with the angles. But: in Euclidean geometry the sum of the angles of the triangle is constant. Not so in hyperbolic geometry. • Many other properties are not preserved such as those related to the di ...
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.)