Geometry

Euclidean Geometry This first collection of applets shows how to perform the following basic geometric constructions: Equilateral triangle Perpendicular bisector Midpoint of two points Bisecting an angle Reflection of a point across a line Perpendicular line Projection of a point onto a line Parallel line Constructing a Square Constructing a Golden Rectangle Inversion of a point across a circle Two Lines Tangent to a Circle This next collection of applets demonstrates several fundamental constructions involving triangles, concluding with a few remarkable relationships between these constructions. Centroid Circumcenter Orthocenter Incenter Euler's line Six Point Circle Nine Point Circle This next collection of applets considers a number of well known theorems of Euclidean geometry: Morley's Theorem Simson's Theorem Johnson's Theorem Napolean's Theorem Use the Euclidean Toolbox Applet to further your understanding of Euclidean Geometry and discover your own theorems! Hyperbolic Geometry Use the Hyperbolic Geometry Toolbox to further your understanding of Hyperbolic Geometry and discover your own theorems! Spherical Geometry Use the Spherical Geometry Toolbox to further your understanding of Spherical Geometry and discover your own theorems!