Books with author Arthur Baker

This 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. 1894 Excerpt: ... etc., so inclined that the distances between their vertices KG, GH, HI, etc., shall equal AB, i. e., so that the inserted triangles AGK, BGH, etc., shall be equilateral triangles. This gives figure b, with the open base GHIJK. Since the = legged isosceles As AFC and ABC are upon the same base AC they are =, and Z AFC = Z ABC = 108..-. the pyramid B--AFCHG, having = lateral edges, and standing upon an equilateral base, one of whose angles is 108, must be a regular pyramid = pyramid F--ABCDE..-. the polyhedral Z 5 = the polyhedral Z F. Similarly all the other completed polyhedral Zs A, C, etc., can be shown to be =. Upon the edges GH, HI of the open base, erect the equilateral As GHL, HIL, giving us figure c. The pentagon BCILG is regular, since it is equilateral, with two Zs = 108 each. The = legged isosceles As GHI and GLI upon the same base are =, and Z GHI= Z GLI= 108. So with the Z§ between the other edges of the open base..-. the open base GHIJK is a regular pentagon, and can be taken as the base of a regular pyramid == pyramid F--ABCDE, giving figure d. The polyhedral Z$ G, H, etc., can be proved = as were the Z_s A, B, etc. Therefore, the figure, being formed from equilateral As, and having its polyhedral /j, =, is a regular polyhedron. 209. If a plane be passed through each vertex of a regular polyhedron, perpendicular to the radius from the centre, these planes will be the faces of another regular polyhedron called the sympolar polyhedron. The sympolar polyhedron evidently has as many faces as its primitive has vertices. Proposition XXI. Theorem. 210. A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism and whose vertices are the three vertices of the upper base. Notation. Let P be ...

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

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.

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

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.

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.

This 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. 1893 Excerpt: ...So with the other edges around the top. Hence the upper edges form a regular pentagon, equal to the other faces. By § 93, all the trihedral /_$ at these vertices = the trihedral /_ at A..: the trihedral /$ are equal, the faces are equal regular pentagons, and the solid is a regular dodecahedron. 5. The regular icosahedron. Upon the given edge AB construct a regular pentagon ABCDE. Upon this as a base construct the regular pyramid F--ABCDE, with its lateral edges = AB, giving figure a. Upon the base edges of this pyramid erect equilateral triangles ABG, BCH, etc., so inclined that the distances between their vertices KG, GH, HI, etc., shall equal AB, i. e., so that the inserted triangles AGK, BGH, etc., shall be equilateral triangles. This gives figure b, with the open base GIIIJK. Since the = legged isosceles As AFC and ABC are upon the same base AC they are =, and Z AFC = Z ABC = 108..-. the pyramid B--AFCHG, having = lateral edges, and standing upon an equilateral base, one of whose angles is 108, must be a regular pyramid = pyramid F--ABCDE..-. the polyhedral Z B = the polyhedral Z F. Similarly all the other completed polyhedral Zs A, C, etc., can be shown to be =. Upon the edges GH, HI of the open base, erect the equilateral As GHL, IIIL, giving us figure c. The pentagon BCILG is regular, since it is equilateral, with two /$ = 108 each. The = legged isosceles As GUI and GLI upon the same base are =, and /_ GH1= /_ GLI= 108. So with the /j, between the other edges of the open base..-. the open base GHIJK is a regular pentagon, and can be taken as the base of a regular pyramid = pyramid F--ABCDE, giving figure d. The polyhedral /$ G, H, etc., can be proved = as were the /3 A, B, etc. Therefore, the figure, being formed from equilateral As, and having...

Lang: - English, Pages 155. Reprinted in 2019 with the help of original edition published long back [1893]. This book is Printed in black & white, Hardcover, sewing binding for longer life with Matt laminated multi-Colour Dust Cover, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, we processed each page manually and make them readable but in some cases some pages which are blur or missing or black spots. If it is multi volume set, then it is only single volume, if you wish to order a specific or all the volumes you may contact us. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. (Any type of Customisation is possible with extra charges). Hope you will like it and give your comments and suggestions.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.