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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from ...Show synopsisThis historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1885 Excerpt: ...cV. But, base CBD x AH is equal to the volume of the prism CDB-A, and base cbdxah is equal to the volume of the prism cbd-p: hence, prism CDB-P: prism cbd-j:: CB which was to be proved. Cor. 1. Any two similar primus are to each other as the cubes of their homologous edges. For, since the prisms are similar, their bases are similar polygons (D. 16); and these similar polygons may each be divided into the same number of similar triangles, similarly placed (B. IV., P. XXVI.); therefore, each prism may be divided into the same number of triangular prisms, having their faces similar and like placed; consequently, the triangular prisms are similar (D. 16). But these triangular prisms are to each other as the cubes of their homologous edges, and being like parts of the polygonal prisms, the polygonal prisms themselves are to each other as the cubes of their homologous edges. Cor. 2. Similar prisms are to each other as the cubes of their altitudes, or as the cubes of any other homologous lines. PROPOSITION XX. THEOREM. Similar pyramids are to each other as the cubes of their homologous edges. Let S-ABCDE, and S-abcde, be two similar pyramids, so placed that their homologous angles at the vertex shall coincide, and let AB and ab be any two homologous edges: then are the pyramids to each other as the cubes of AB and ab. For, the face SAB, being similar to Sab, the edge AB is parallel to the edge ab, and the face SBC being similar to Sbc, the edge BC is parallel to be; hence, the planes of the bases are parallel (B. vi., P. xni.). Draw SO perpendicular to the base ABCDE; it will also be perpendicular to the base abcde. Let it pierce that plane at the point o; then SO is to So, as SA is to So (P. DX), or as AB is to ab; hence, JSO: $So:: AB: ab. But the bases being si.Hide synopsis

Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States - Primar – Trade paperback
(2013)
by Adrien Marie Legendre, Charles Davies

Elements of Geometry and Trigonometry from the Works of A. M. Legendre; Adapted to the Course of Mathematical Instruction in the United States – Trade paperback
(2012)
by Adrien-Marie Legendre

Elements of Geometry and Trigonometry from the Works of A. M. Legendre: Adapted to the Course of Mathematical Instruction in the United States... – Trade paperback
(2012)
by Adrien-Marie Legendre, Charles Davies

Elements of Geometry and Trigonometry; From the Works of A. M. Legendre. Adapted to the Course of Mathematical Instruction in the United States – Trade paperback
(2012)
by Adrien-Marie Legendre

Elements of Geometry and Trigonometry from the Works of A.M. Legendre; Adapted to the Course of Mathematical Instruction in the United States – Trade paperback
(2012)
by Adrien-Marie Legendre

Elements of Geometry and Trigonometry: From the Works of A. M. Legendre. Adapted to the Course of Mathematical Instruction in the United States... – Trade paperback
(2011)
by Adrien-Marie Legendre, Charles Davies

Elements of Geometry and Trigonometry, from the Works of A. M. Legendre. Adapted to the Course of Mathematical Instruction in the United States, by Ch – Trade paperback
(2006)
by Adrien-Marie Legendre

University of Michigan Library
ISBN: 1425551440
ISBN-13: 9781425551445

Title: Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States - Primar Author:Adrien-Marie Legendre ISBN-13:9781287457107 ISBN:128745710X

Title: Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States - Primar Author:Adrien-Marie Legendre ISBN-13:9781287457107 ISBN:128745710X

Description:New. 456 pages. Reprinted from 1872 edition. New 2013 edition...New. 456 pages. Reprinted from 1872 edition. New 2013 edition in PAPERBACK is SEWN PERFECT BOUND, much more durable than a standard paperback. This is a quality reprint of an old book of historical value. If the original book was printed in multiple volumes than this reprint is of only a single volume. This is an exact/strict reproduction of text, no changes has been made in respect to the original text. A lot of effort has been made to check and improve each page/scan manually for its quality of text and illustrations (if any, are in b/w). Folded illustrations, if any, are not included in the book. This is not a retyped or an ocr'd book. Index, contents, etc, if any in the original book, are included. This item is printed on demand using good quality natural shade paper. The title of the book, on the cover, is in gold lettering.

Title: Elements of Geometry and Trigonometry From the Works of a. M. Legendre: Adapted to the Course of Mathematical Instruction in the United States... Author:Adrien-Marie Legendre ISBN-13:9781279115909 ISBN:1279115904

Title: Elements of Geometry and Trigonometry; From the Works of A. M. Legendre. Adapted to the Course of Mathematical Instruction in the United States Author:Adrien-Marie Legendre ISBN-13:9781152370791 ISBN:1152370790

Title: Elements of Geometry and Trigonometry from the Works of A. M. Legendre; Adapted to the Course of Mathematical Instruction in the United States Author:Adrien-Marie Legendre ISBN-13:9781236307224 ISBN:1236307224

Title: Elements of Geometry and Trigonometry from the Works of A.M. Legendre; Adapted to the Course of Mathematical Instruction in the United States Author:Adrien-Marie Legendre ISBN-13:9781236169136 ISBN:1236169131

Description:New. 466 pages. ReInk Books reprint from the 1872 edition. This...New. 466 pages. ReInk Books reprint from the 1872 edition. This paperback book is SEWN perfect bound, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of paperback binding. It can also be open wide. The pages will not fall out and will be around for a lot longer than normal paperbacks. NO changes have been made to the original text. Each page is checked manually before printing. Illustrations, Index, if any, are included in b/w. Fold-outs, if any, are not part of the book. If the original book was printed in multiple volumes than this reprint is of only a single volume. This book is printed on demand on acid-free paper. (Original publisher: A.S. Barnes & Company)

Title: Elements of Geometry and Trigonometry: From the Works of a. M. Legendre. Adapted to the Course of Mathematical Instruction in the United States... Author:Adrien-Marie Legendre ISBN-13:9781247509969 ISBN:1247509966

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