Elements of Geometry: Conic Sections, and Plane Trigonometry is a book written by Elias Loomis in 1895. This book is a comprehensive guide to the study of geometry, with a particular focus on conic sections and plane trigonometry. It is designed to provide students with a thorough understanding of the principles and concepts of geometry, as well as the ability to apply these principles to real-world problems.The book is divided into two main sections. The first section covers the study of conic sections, which are geometric shapes formed by the intersection of a cone and a plane. This section includes a detailed discussion of the various types of conic sections, including circles, ellipses, parabolas, and hyperbolas. The author provides numerous examples and exercises to help students understand these concepts.The second section of the book focuses on plane trigonometry, which is the study of the relationships between the sides and angles of triangles. This section covers a wide range of topics, including trigonometric functions, the law of sines, the law of cosines, and the use of trigonometry in solving real-world problems.Throughout the book, the author provides clear explanations of the concepts and principles of geometry, as well as numerous examples and exercises to help students develop their understanding and skills. The book is written in a clear and concise style, making it accessible to students of all levels.Overall, Elements of Geometry: Conic Sections, and Plane Trigonometry is a valuable resource for anyone studying geometry. It provides a comprehensive and detailed guide to the study of geometry, with a particular focus on conic sections and plane trigonometry.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 facsimile reprint of the original. 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 for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
The stereotype plates pf my Elements of Geometry and Conic Sections having become so much worn by long-continued use that it was found necessary to recast them, the opportunity has been improved to give the entire book a thorough revision. As the general plan of the original work has met with very extensive approval, it has not been thought best to modify it materially; nevertheless, the minor changes which have been made are numerous and of considerable importance. The volume commences with a brief sketch of the history of Elementary Geometry, which, it is hoped, may increase the students interest in a subject which has occupied the attention of so many gifted minds. The definitions of Book Lhave been somewhat amplified, for the purpose of giving clearer ideas of the philosophy of the subject; and several no.tes have been added to the first pages of the book which, it is hoped, may be found useful and suggestive, although they are generally such as any competent teaicher might easily have supplied. In Book n. the subject of Ratio has been expanded, especially for the purpose of meeting the difficulty of incommensurable quantities; and in this I have followed substantially the method of Vincent in his Cours de Geometric. A few new propositions have been added to Books IH., IV., and V.; and at the close of Book VL is given a considerable collection of new theorems and problems, with some numerical exercises on the preceding books. These theorems and problems are so simple that it is hopedmany students may be encouraged to labor upon them; for no one can be considered as master of the subject of Geometry who has not acquired the ability to discover the demonstration of new theorems and the solution of new problems.
(Typographical errors above are due to OCR software and don't occur in the book.)
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