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Archimedes' Book of Lemmas-
Table of Content Archimedes wrote
the "Book of Lemmas" more than 2200 years ago. Solve these 15
high school level problems and lift up your geometry skills.
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Proposition 1.
Tangent circles and parallel diameters |
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Etching and Typography of Geometry Problem 640.
Archimedes Book of Lemmas: Proposition 1
Using iPad Apps. |
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Proposition 2
Semicircle, diameter, tangents, secant line. |
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Proposition 3
Semicircle, perpendicular to diameter, chords. |
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Proposition 4
Semicircles, perpendicular to diameter, Arbelos.
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Proposition 5
Arbelos, Archimedean Twins,
Semicircles, Circles
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Proposition 6
Arbelos, Semicircles, Circle.
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Proposition 7
Square and inscribed and circumscribed Circles
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Proposition 8
Angle Trisection. Neusis construction. |
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Proposition 9.
Perpendicular chords, sum of arcs. |
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Proposition 10
Tangents to a circle, secant line and chords, Parallel. |
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Proposition 11
Perpendicular chords and radius, square. |
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Proposition 12
Semicircle, Diameter, Chords, Tangents, Perpendicular. |
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Proposition 13
Circle, Diameter, Chord, Perpendicular, Congruence. |
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Proposition 14
Salinon: Semicircles, Perpendicular, Circles, Areas. |
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Proposition 15
Circle, Diameter, Inscribed Regular Pentagon, Arc, Midpoint,
Perpendicular, Radius. |
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Arbelos, Theorems and Problems
Three tangent semicircles with collinear
centers.
Index |
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Geometric Art: Typography of Archimedes' Book of Lemmas |