Dynamic Geometry - Table of Contents

• Geometry

• Bottema's Theorem: Triangle and Squares with Interactive Geometry Software

• Complete Quadrilateral: Ortholine-Steiner Line TracenPoche software.

• Eight-Point Circle Theorem.

• Feuerbach Points and Nine-Point Circle with interactive animation and TracenPoche.

• Four Circles Theorem TracenPoche software

• Hinged Tessellation: Squares

• Incenter, Excenter, Incircle, Excircle

• Isogonic-Jacobi Theorem: TracenPoche

• Marion Walter's Theorem: TracenPoche

• Miquel's Pentagram

• Monge & d'Alembert Three Circles Theorem I

• Monge & d'Alembert Three Circles Theorem II

• Morley's Triangle and Center TracenPoche

• Newton's Theorem, Newton-Gauss Line: TracenPoche

• Nine-Point Center, Nine-Point Circle, Euler Line

• Orthopole of a Triangle: TracenPoche software

• Schiffler Point: Euler Lines: TracenPoche

• Three Circles Theorem, animation TracenPoche

• Three Tangent Circles, animation TracenPoche

• The Taylor Circle: TracenPoche software

• Triangle and Squares Theorem 1

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Dynamic Geometry or Interactive Geometry Software are computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry.

One starts construction by putting a few points and using them to define new objects such as lines, circles or other points.

After some construction is done, one can move the points one started with and see how the construction changes.

One can alter the figure dynamically in order to test and prove (or disproved) conjectures and gain mathematical insight that is less readily available with static drawings by hand.