Books with title Elements of Solid Geometry

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. 1890 Excerpt: ...ft.; (2) 2.5 ft. Rouchl et Comberousse, p. 28G. EXERCISES. Theorems. 1. A triangle is divided by each of its medians into two-parts of equal area. 2. A parallelogram is divided by its diagonals into four triangles of equal area. 3. ABC is a triangle, and its base BC is bisected at D; if H be any point in the median AD, show that the triangles ABH, ACH are equal in area. 4. In AC, a diagonal of the parallelogram ABCD, any point H is taken, and HB, HD are drawn: show that the triangle BAH is equal to the triangle DAII. 5. If two triangles have two sides of one respectively equal to two sides of the other, and the included angles supplementary, show that the triangles are equal in area. 6. ABCD is a parallelogram, and E, H are the middle points of the sides AD, BC; if Z is any point in Ell, or EH produced, show that the triangle AZB is one quarter of the parallelogram ABCD. 7. If ABCD is a parallelogram, and E, II any points in DC and AD respectively, show that the triangles AEB, BHC are equal in area. 8. ABCD is a parallelogram, and P is any point within it: show that the sum of the triangles PAB, PCD is equal to half the parallelogram. 9. Find the ratio of a rectangle 18 yards by 14 yards to a square whose perimeter is 100 feet. 10. The medians AD, BE of the triangle ABC are produced to meet the straight line, drawn through C parallel to AB, in F, G respectively: prove that the triangle AGC is equal in area to the triangle BCF. AD= PF (105), etc. 11. ABCD is a parallelogram; through A any two straight lines AE, AF are drawn meeting BC in E and CD in P; through D, DG is drawn parallel to AE meeting AF in G. Show that the parallelogram having AE, AG as adjacent sides is equal to ABCD. Draw EH II to AG meeting DG produced in H; produce BC to meet DH in K; d7AH ...

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Excerpt from The Elements of Solid GeometryIn Section III. I have treated of Dihedral and Solid Angles, and in Section IV. Of Polyhedra, and in particular of the five Regular Solids, with the definitions and a summary of the leading characteristics of the Prism, Cylinder, Pyramid,' Cone, and Sphere.In Section V. The Volumes of Solids are considered, and the usual rules or formulae for the numerical measures of volumes in cubic units deduced. To this Section I have added an Appendix on Symmetry, which I h0pe will be useful in assisting the student to clearer conceptions of figures and their relations in solid space. A short word has long been wanted for the decasyllabic rectangular parallelepiped: I am sanguine that the word cuboid, which I have here introduced, will meet with acceptance from mathematicians.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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 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.

About the Book Teaching methods comprise the principles and methods that are used by teachers to facilitate learning by students. Strategies are determined both by the subject matter to be taught and the characteristics of the student. While today’s schools encourage creativity, this was not always the case.About us Leopold Classic Library has the goal of making available to readers the classic books that have been out of print for decades. While these books may have occasional imperfections, we consider that only hand checking of every page ensures readable content without poor picture quality, blurred or missing text etc. That's why we: republish only hand checked books; that are high quality; enabling readers to see classic books in original formats; that are unlikely to have missing or blurred pages. You can search "Leopold Classic Library" in categories of your interest to find other books in our extensive collection. Happy reading!

Elements of Synthetic Solid Geometry is an unchanged, high-quality reprint of the original edition of 1893. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres. As a publisher we focus on the preservation of historical literature. Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.

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.