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""Elements of Solid Geometry: With Numerous Exercises"" is a comprehensive textbook written by Arthur Latham Baker and originally published in 1894. The book is designed to provide a thorough introduction to the principles of solid geometry, including the properties of lines, planes, and solid figures. The text is divided into several sections, each of which covers a different aspect of solid geometry, such as the measurement of angles, the calculation of areas and volumes, and the properties of polyhedra and cylinders.Throughout the book, Baker presents a variety of exercises and problems that are designed to help students develop their understanding of the material. These exercises range from simple calculations to more complex proofs and constructions, and are intended to challenge students at all levels of ability. In addition to the exercises, the book includes numerous diagrams and illustrations that help to clarify the concepts being presented.Overall, ""Elements of Solid Geometry"" is a valuable resource for anyone studying geometry, whether as a student or as a teacher. Its clear explanations, detailed examples, and challenging exercises make it an ideal textbook for high school or college-level courses in solid geometry.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!
The whilom popular idea that each proposition must occupy an entire page or pages is discarded. A short demonstration is made short. The student is not deceived into thinking he has learned a page of geometrical truth, when in fact he has learned but a few lines. In the present work the diagrams are generally so simply lettered, that one glance is sufficient to fix it in the students mind, and he is under no necessity to turn to it again, this simplicity being secured by few letters, or where that is impossible, by suggestive or characteristic letters, as explained under the head of notation. Compare 24, 34, C4, 67, 135, 153, 174, etc. Special Characteristics. The problems in the construction of the regular polyhedrons (209) are solved upon tentative rather than upon dogmatic lines, with marked gain for the student. The student is not arbitrarily led per saU um, and the correctness of the step proved afterwards, but each solid is put together piece by piece, as one would do in the actual construction of a model. In the propositions relating to spherical surfaces, increased clearness has been gained by the use of the spherical degree as the unit of spherical surface, and it is defined much more precisely and comprehensively than is usual. Precision and comprehensiveness have been sought in all the definitions. See 298, 300, 301, 301|, 315. The very general solid, the prismatoid has been introduced, and made the basis of demonstration for its limiting cases, the wedge, pyramid, cone, etc. In the area of the spherical triangle, lune, etc., the expression of the angles in angular degrees or radians has been carefully distinguished.
(Typographical errors above are due to OCR software and don't occur in the book.)
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