Cover of Plane and solid geometry

Plane and solid geometry

by Elmer A. Lyman

363 pages•about 7 h 30 min to read•Public domain

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About this book

For students learning geometric proof, Elmer A. Lyman’s textbook teaches plane and solid geometry through definitions, demonstrations, and exercises. An early set of problems asks students to prove that a triangle’s perpendicular bisectors, angle bisectors, and altitudes each meet at a single point. The proof of the right-triangle area theorem builds its result by comparing triangles with rectangles and squares. Later, the discussion of prisms distinguishes right from oblique forms and asks how sections cut through them compare.

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