Basic Trigonometry: Topic 1-Similar Triangles
... Introduction The basic idea on which the whole of trigonometry is based is that triangles (and other objects) can have the same shape but different sizes, and that if the angles of two triangles are equal, then the corresponding sides are in proportion. Such triangles are then said to be similar tri ...
... Introduction The basic idea on which the whole of trigonometry is based is that triangles (and other objects) can have the same shape but different sizes, and that if the angles of two triangles are equal, then the corresponding sides are in proportion. Such triangles are then said to be similar tri ...
pdf - K-12 Education
... not drawn to scale, and later they need to generalize their results to arbitrary right triangles. Besides the usual small group collaboration, they are given a few questions to reflect on how they did individual and collaborative work. There are a few different ways to solve the problem. In order to ...
... not drawn to scale, and later they need to generalize their results to arbitrary right triangles. Besides the usual small group collaboration, they are given a few questions to reflect on how they did individual and collaborative work. There are a few different ways to solve the problem. In order to ...
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.)