Notes On Elements Of Analytical Solid Geometry
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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.
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.
Report Of The Commissioner Of Education Made To The Secretary Of The Interior For The Year With Accompanying Papers
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Author : United States. Bureau of Education
language : en
Publisher:
Release Date : 1881
Report Of The Commissioner Of Education Made To The Secretary Of The Interior For The Year With Accompanying Papers written by United States. Bureau of Education and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with Education categories.
Report Of The Commissioner Of Education
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Author : United States. Office of Education
language : en
Publisher:
Release Date : 1881
Report Of The Commissioner Of Education written by United States. Office of Education and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with Education categories.
Report Of The Federal Security Agency
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Author : United States. Office of Education
language : en
Publisher:
Release Date : 1881
Report Of The Federal Security Agency written by United States. Office of Education and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with categories.
House Documents
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Author :
language : en
Publisher:
Release Date : 1880
House Documents written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1880 with categories.
The American Catalog
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Author :
language : en
Publisher:
Release Date : 1891
The American Catalog written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with categories.
The American Catalogue
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Author :
language : en
Publisher:
Release Date : 1891
The American Catalogue written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with American literature categories.