Books with author Andrew Wheeler Phillips

Of late years Graphical Methods have been used with great profit in many departments of science. Such methods give a clear and comprehensive view of the facts of observation, and, by suggesting new relations, furnish a valuable means of formulating new laws. Their importance in solving many problems in applied mathematics is also very generally recognized. In interpreting analytical expressions and illustrating analytical processes in pure mathematics such methods are equally valuable. They accustom the student to take into account not merely one detail at a time of a complex operation, but show at a glance all the results in their proper relations. Such methods are well adapted to the presentation of the principles and processes of the Theory of Equations. The Theory of Equations is a subject so essential in all the applications of Mathematical Analysis that the student should be made familiar with it early in his course. But at this stage he is not prepared to appreciate the very general analytical demonstrations found in treatises on this subject. He is not accustomed to such methods of reasoning, and, although he may not be able to find any flaws in the logic, he is not familiar with the conceptions employed, and cannot give any tangible form to his ideas. Therefore they are vague and unsatisfactory. Knowledge so sought is soon lost, and the only permanent result of such study is a loose way of thinking.(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 enhan

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.

Leather Binding on Spine and Corners with Golden Leaf Printing on round Spine (extra customization on request like complete leather, Golden Screen printing in Front, Color Leather, Colored book etc.) Reprinted in 2016 with the help of original edition published long back [1904]. This book is printed in black & white, sewing binding for longer life, 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. Hope you will like it and give your comments and suggestions. Lang: - English, Pages 162. EXTRA 10 DAYS APART FROM THE NORMAL SHIPPING PERIOD WILL BE REQUIRED FOR LEATHER BOUND BOOKS. COMPLETE LEATHER WILL COST YOU EXTRA US$ 25 APART FROM THE LEATHER BOUND BOOKS.

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. 1898 Excerpt: ...are together equal to a lune whose angle is C. § 888 Hence area ABC+ area CA'B'--iC. Now the sum of the areas of ABC, B'CA, A'CB, and CA'B' is the area of the surface of a hemisphere, which with the adopted unit is 4. Hence, adding the three equations above, we have, 2 area ABC+4-2A +2B+ 2C. Therefore area ABC =A+B+C-2. Q.e.d. PROPOSITION XXXVII. THEOREM 896. If the unit angle is the right angle, and the unit surface the tri rectangular triangle, the area of a spherical polygon is measured by the sum of its angles minus twice the number of its sides less two. Given--the spherical polygon ABCDE. Denote its area measured in tri-rectangular triangles by K; the sum of its angles measured in right angles by S; and the number of its sides by n. To Prove K=S--2(«--2). Divide the polygon into triangles by diagonals drawn from any vertex A. The area of each triangle is measured by the sum of its angles less two. § 895 The number of triangles is n--2, there being one for every side except the sides intersecting in A. Hence the area of the polygon is measured by the sum of the angles of all the triangles minus 2(n--2). But the sum of the angles of all the triangles is equal to the sum of the angles of the polygon. Therefore K=S--2(n--2). Q. E. D. 897. Defs.--A spherical pyramid is a solid bounded by a spherical polygon and the planes of its sides; as O-ABCD. The centre of the sphere is called the vertex of the spherical pyramid, and the spherical polygon its base. 898. Defs.--A spherical ungula, or wedge, is a solid bounded by a lune and the planes of its bounding arcs. The lune is called the base of the ungula; the diameter in which the bounding planes meet is its edge. The angle of the bounding lune is also called the angle of the ungula. 899. The pro...

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 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 book was digitized and reprinted from the collections of the University of California Libraries. It was produced from digital images created through the libraries’ mass digitization efforts. The digital images were cleaned and prepared for printing through automated processes. Despite the cleaning process, occasional flaws may still be present that were part of the original work itself, or introduced during digitization. This book and hundreds of thousands of others can be found online in the HathiTrust Digital Library at www.hathitrust.org.