Other editions of book Key to Milne's Plane and Solid Geometry

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.

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. 1899 Excerpt: ...const., EH = FG = EF = HG; hence, EFGH is a rhombus, and, as in Ex. 601, EFGH--ABCD. Sen. As in Ex. 601, there may be an indefinite number of solutions. Ex. 604. Construct a rhombus having a given altitude and equivalent to a given parallelogram. Solution. From data find the side of the required rhombus as the altitude was found in Ex. 603, and construct the rhombus as in that exercise. Ex. 605. Transform a triangle into an equivalent parallelogram, whose base shall be the base of the triangle and one of whose base angles shall be equal to a base angle of the triangle. Solution. Through E, the middle point of side AC of the given A ABC, draw ED II AB meeting BC in D; produce ED to F making DF = ED; and draw BF. Then, ABFE is the CD required. Proof. EFWAB, and since, § 158, ED = AB, EF = AB, and, § 150. ABCD is a CD. Cons'., DF= ED, § 158, DB = CD, and, § 59, Z.BDF-Z. EDC; heiiCL', ADFB = A EDC; consequently, ABDE + ADFB-ABDE + A EDC; that is,, ABFE A ABC. Ex. 606. Construct a triangle having a given angle, and equivalent to a given parallelogram. Solution. Draw the altitude h of the given CD ABCD. Draw EF = AB; at E erect the _L EH = 2 h; and draw HJW EF. Construct Z FEG = the given Z., the side EG meeting HJ, as at G. Draw FG. Then, A EFG is the A required. Proof. § 332, area ABCD = AB x h, and, § 335, urea. AEFG = EFx EH=AB x2h = ABxh; hence, AEFG-ABCD. See Sen., Ex. 518. Ex. 607. Construct a triangle equivalent to a given trapezium. Solution. Draw the diagonal AC of the given trapezium ABCD and the perpendiculars h and h from D and B respectively upon AC. Draw EF= AC, and on EF as base construct A EFG, having its altitude = h + h'. Then, A EFG is the A required. Proof. Area ABCZ) = area A.4CZ) +area A IGB = iACxh + iACx h' =...

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 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.

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 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.

Key toM ilne sP lane andS olid Geometry was written by William James Milne in 1899. This is a 314 page book, containing 128538 words and 616 pictures. Search Inside is enabled for this title.(Typographical errors above are due to OCR software and don't occur in the book.)About the Publisher Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org