"New Plane And Solid Geometry" by Wooster Woodruff Beman and David Eugene Smith is a comprehensive, didactic text introducing and developing elementary plane and solid geometry. It begins with an Introduction and elementary definitions, then progresses through Plane Geometry with foundational theorems, propositions, and problems on triangles, parallels, and circles, followed by books on equality of polygons, ratio and proportion, and mensuration of plane figures and circles. The volume extends into solid geometry: lines and planes in space, polyhedra, prisms and pyramids, cylinders, cones, and the sphere, with detailed treatments of congruence, similarity, and the geometry of three dimensions. The authors advocate a measured approach, combining a minimum of Euclid-like proofs with a substantial set of exercises and modern concepts such as one-to-one correspondence, anti-parallels, negative magnitudes, and general figures. An Appendix covers mensuration methods, reciprocity with algebra, etymologies, and a biographical table. First published in 1903 by Ginn & Company, the book remains a landmark for early 20th-century geometry instruction.

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