![Archimedes Book of Lemas](math_geometry_online_courses/archimedes_book_lemmas_1.jpg) |
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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![](ArchBooLem01_170.jpg) |
Proposition 1.
Tangent circles and parallel diameters |
![Archimedes Book of Lemmas Proposition 1](problem/p640-archimedes-lemmas-01-typography-etching-software-1.jpg) |
Etching and Typography of Geometry Problem 640.
Archimedes Book of Lemmas: Proposition 1
Using iPad Apps. |
![](ArchBooLem02_170.jpg) |
Proposition 2
Semicircle, diameter, tangents, secant line. |
![](ArchBooLem03_170.jpg) |
Proposition 3
Semicircle, perpendicular to diameter, chords. |
![Archimedes Book of Lemmas Proposition 4](archimedes_book_lemmas_4.jpg) |
Proposition 4
Semicircles, perpendicular to diameter, Arbelos.
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![Archimedes Book of Lemmas Proposition 5](archimedes_book_lemmas_5.jpg) |
Proposition 5
Arbelos, Archimedean Twins,
Semicircles, Circles
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![Archimedes Book of Lemmas Proposition 6](archimedes_book_lemmas_6.jpg) |
Proposition 6
Arbelos, Semicircles, Circle.
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![](ArchBooLem07_170.jpg) |
Proposition 7
Square and inscribed and circumscribed Circles
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![](ArchBooLem08_170.jpg) |
Proposition 8
Angle Trisection. Neusis construction. |
![](ArchBooLem09_170.jpg) |
Proposition 9.
Perpendicular chords, sum of arcs. |
![](ArchBooLem10_170.jpg) |
Proposition 10
Tangents to a circle, secant line and chords, Parallel. |
![](ArchBooLem11_170.jpg) |
Proposition 11
Perpendicular chords and radius, square. |
![](ArchBooLem12_170.jpg) |
Proposition 12
Semicircle, Diameter, Chords, Tangents, Perpendicular. |
![](ArchBooLem13_170.jpg) |
Proposition 13
Circle, Diameter, Chord, Perpendicular, Congruence. |
![](ArchBooLem14_170.jpg) |
Proposition 14
Salinon: Semicircles, Perpendicular, Circles, Areas. |
![](ArchBooLem15_170.jpg) |
Proposition 15
Circle, Diameter, Inscribed Regular Pentagon, Arc, Midpoint,
Perpendicular, Radius. |
![Arbelos, Theorems and Problems Index](math_geometry_online_courses/arbelos_index_1.jpg)
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Arbelos, Theorems and Problems
Three tangent semicircles with collinear
centers.
Index |
![Arbelos, Theorems and Problems Index](math_geometry_online_courses/archimedes_book_lemmas_5x3_ipad_sw_typography_1.jpg)
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Geometric Art: Typography of Archimedes' Book of Lemmas |