Notes On Elements Of Analytical Solid Geometry Classic Reprint
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Notes On Elements Of Analytical Solid Geometry Classic Reprint
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Author : Charles S. Venable
language : en
Publisher: Forgotten Books
Release Date : 2017-11-28
Notes On Elements Of Analytical Solid Geometry Classic Reprint written by Charles S. Venable and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-28 with Mathematics categories.
Excerpt from Notes on Elements of (Analytical) Solid Geometry The projection of a line on a plane is the line containing the projections of its points on the plane. When one line or several lines connected together enclose a plane area, the area enclosed by the projection of the lines is called the projection of the first area. The idea of projection may be in the case of the straight line thus extended: if from the extremities of any limited straight line we draw perpendiculars to a second line, the portion of the latter intercepted between the feet of the perpendiculars is called the projection of the limited line on the second line. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
Notes On Elements Of Analytical Solid Geometry
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Author : Charles Scott Venable
language : en
Publisher:
Release Date : 1879
Notes On Elements Of Analytical Solid Geometry written by Charles Scott Venable and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1879 with Geometry, Analytic categories.
Notes On Elements Of Analytical Solid Geometry
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Author : Charles Scott Venable
language : en
Publisher:
Release Date : 1888
Notes On Elements Of Analytical Solid Geometry written by Charles Scott Venable and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1888 with Geometry, Analytic categories.
Notes On Elements Of Analytical Solid Geometry
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Author : Charles S. Venable
language : en
Publisher: Forgotten Books
Release Date : 2015-06-04
Notes On Elements Of Analytical Solid Geometry written by Charles S. Venable and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-04 with Mathematics categories.
Excerpt from Notes on Elements of (Analytical) Solid Geometry 1. We have seen how the position of a point in a plane with reference to a given origin O is determined by means of its distances from two axes Ox, Oy meeting in O. In space, as there are three dimensions, we must add a third axis Oz. So that each pair of axes determines a plane, Ox and Oy determining the plane xOy; Ox and Oz the plane xOz ; Oy and Oz the plane yOz. And the position of the point P with reference to the origin O is determined by its distances PM, PN, PR from the zOy, zOx, xOy respectively, these distances being measured on lines parallel to the axes Ox, Oy and Oz respectively. This system of coordinates in space is called The System of Triplanar Coordinates, and the transition to it from the System of Rectilinear Plane Coordinates is very easy. We can best conceive of these three coordinates of P by conceiving O as the corner of a parallelopipedon of which OA, OB, OC are the edges, and the point P is the opposite corner, so that OP is one diagonal of the parallelopipedon. 2. If PM= OA =a, PN =OB = b, PR = OC = c, the equations of the point P are x= a, y = b, z = c, and the point given by these equations may be found by the following construction: Measure on OX the distance OA =a, and through A draw the plane PNAR parallel to the plane yOz. Measure on Oy the distance OB= b, and draw the plane PMBR parallel to xOz, and finally lay off OC and draw the plane PMCN parallel to xOy. The intersection of these three planes is the point P required. (Fig. 1.) About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
Elements Of Synthetic Solid Geometry Classic Reprint
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Author : N. F. Dupuis
language : en
Publisher: Forgotten Books
Release Date : 2018-05-08
Elements Of Synthetic Solid Geometry Classic Reprint written by N. F. Dupuis and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-08 with Mathematics categories.
Excerpt from Elements of Synthetic Solid Geometry The matter of the present work has, with some varia tions, been in manuscript for a number of years, and has formed the subject of an annual course of lectures to mathematical students by whom the subject has been well received as one of the most interesting in the earlier part of a mathematical course. I have been induced to present the work to the public, partly, by receiving from a number of Educationists inquiries as to what work on Solid Geometry I would recommend as a sequel to my Plane Geometry, and partly, from the high estimate that I have formed of the value of the study of synthetic solid geometry as a means of mental discipline. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
Elements Of Solid Geometry
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Author : W. H. (William Herschel) Bruce
language : en
Publisher: Hardpress Publishing
Release Date : 2012-08-01
Elements Of Solid Geometry written by W. H. (William Herschel) Bruce and has been published by Hardpress Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-01 with categories.
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Solid Geometry Classic Reprint
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Author : Clara Avis Hart
language : en
Publisher: Forgotten Books
Release Date : 2016-08-24
Solid Geometry Classic Reprint written by Clara Avis Hart and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-24 with Mathematics categories.
Excerpt from Solid Geometry IN addition to the features of the Plane Geometry, which are emphasized in the Solid as well, the chief characteristic of this book is the establishment, at every point, of the 'vital relation between the Solid and the Plane Geometry. Many theorems in Solid Geometry have been proved, and many problems have been solved, by reducing them to a plane, and simply applying the corresponding principle of Plane Geometry. Again, many proofs of Plane Geometry have been made to serve as proofs of corresponding theorems in Solid Geometry by merely mak ing the proper changes in terms used. (see 703, 786, 794, 813, 853, 924, 951, 955, 961, etc.) Other special features of the book may be summarized as follows: The student is given every possible aid in forming his early space concepts. In the early work in Solid Geometry, the average student experiences difficulty in fully comprehending space relations; that is, in seeing geometric figures in space. The student is aided in overcoming this difficulty by the intro duction of many easy and practical questions and exercises, as well as by being encouraged to make his figures. (see As a further aid in this direction, reproductions of models made by students themselves are shown in a group (p. And at various points throughout Book VI. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
The Elements Of Plane And Solid Geometry
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Author : Edward A. Bowser
language : en
Publisher: Forgotten Books
Release Date : 2018-03-23
The Elements Of Plane And Solid Geometry written by Edward A. Bowser and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-23 with Mathematics categories.
Excerpt from The Elements of Plane and Solid Geometry: With Numerous Exercises Aline has no breadth, for if it had any, however small, it would form part of the surface, and would be space of two dimensions; and if in addition it had any thickness, it would be space of three dimensions; hence a line has neither breadth nor thickness. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
Elements Of Solid Geometry
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Author : William Herschel Bruce
language : en
Publisher:
Release Date : 1923
Elements Of Solid Geometry written by William Herschel Bruce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1923 with Geometry, Solid categories.
Solid Geometry
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Author : H. E. Slaught
language : en
Publisher: Forgotten Books
Release Date : 2017-09-12
Solid Geometry written by H. E. Slaught and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-12 with Mathematics categories.
Excerpt from Solid Geometry: With Problems and Applications The important features by which the Solid Geometry seeks to accomplish the two main purposes stated in the preface of the Plane Geometry are. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.