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Author:Peter Y. Woo, Biola University
Description: Geometry Papers include a Java applet and circle inversion theorems about the arbelos, or shoemaker's knife; constructions with ruler alone, plus a circle; constructions with ruler alone, plus a parabola; Java applet of internal organs (such as centroid, circumcenter, incenter, orthocenter, Fermat center, 9-point circle center, Napoleon center, Feuerbach point, Gergonne point, Nagel center, Lemoigne center, Sotty center, Mixtilinear center, and other centers) of any triangle; the isogonal conjugate theorem (each point in a triangle has a quasi-mirror image via the in-center); isodynamic points of a triangle; Spieker point of a triangle; and Euler arch of a triangle. Biola University Math and Computer Course materials include calculus formulas to memorize, a calculus exam, straight lines in space (examples of different equation forms), Kepler's laws of planetary motion, and some first theorems in group theory. Also, high school geometry materials, such as trigonometry mnemonics and formulas, review of coordinate geometry for calculus students, properties of ellipses proved without calculus, and problems about parabolas; and solutions of problems from journals such as Mathematics Magazine, Crux Mathematicorum, American Mathematics Monthly, College Math Journal, and Math Horizons.

Levels: High School (9-12), College
Languages: English
Resource Types: Course Notes, Problems/Puzzles, Web Interactive/Java
Math Topics: Calculus (Single Variable), Euclidean Plane Geometry, Astronomy

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