table of contents chapter 1 geometry making a start 1 1 introduction 1 2 euclid s elements 1 3 geometer s sketchpad 1 4 getting started 1 5 similarity and ...
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...Table of contents chapter geometry making a start introduction euclid s elements geometer sketchpad getting started similarity and triangle special points exercises locus problems custom tools classical coordinate an investigation via false theorems euclidean parallel postulate sum angles the pythagorean theorem inscribed angle results revisitee nine point circle power synthesizing apollonius tilings plane one final exercise non geometries abstract line poincare disk classifying orthogonal circles transformations isometries compositions revisited dilations using in proofs stereographic projection inversion dynamic properties applications hyperbolic focus continues to evolve with time renewed emphasis on today is response realization that visualization problem solving deductive reasoning must be part everyone education has long been integral but recent years inexpensive software programs added individual exploration study all constructions underlying can now made accurately conveniently...