Principles of Geometry, Vol. 4 (Classic Reprint)

Baker, H. F.

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ISBN 10: 1330337484 / ISBN 13: 9781330337486
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Reseña del editor: Excerpt from Principles of Geometry, Vol. 4

The book, for which indeed, mostly, the earlier volumes were undertaken, still bears many marks of the difficulty of compressing the matter into brief compass. But the writer hopes that it may seem to the reader as remarkable as it does to him, that it should be possible to comprehend under one point of view, and that so simple, the introduction to nearly all the surfaces ordinarily studied in the geometry of three dimensions, as well as the usual line geometry. Chapters V, VI, VII seek to make clear that this is so. To these the earlier chapters are auxiliary. But Chapters II and IV have been introduced as much for their own interest as for their illustrative value; the results obtained in these two chapters are not required in the subsequent pages. It is hoped that the Table of Contents, and the Index, may make it easy to use the volume. It will of course be understood that the volume is throughout intended to be introductory and illustrative; hardly anywhere is it complete.

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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.

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Título: Principles of Geometry, Vol. 4 (Classic ...
Editorial: Forgotten Books
Encuadernación: PAPERBACK
Condición del libro: New

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Baker, H. F.
Publicado por Forgotten Books 9/27/2015 (2015)
ISBN 10: 1330337484 ISBN 13: 9781330337486
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Descripción Forgotten Books 9/27/2015, 2015. Paperback or Softback. Condición: New. Principles of Geometry, Vol. 4 (Classic Reprint). Book. Nº de ref. del artículo: BBS-9781330337486

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Baker, H. F.
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Descripción Forgotten Books, 2018. Paperback. Condición: New. Never used! This item is printed on demand. Nº de ref. del artículo: 1330337484

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H F Baker
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Descripción Forgotten Books, 2017. Paperback. Condición: New. Language: English . Brand New Book ***** Print on Demand *****. Excerpt from Principles of Geometry, Vol. 4 The book, for which indeed, mostly, the earlier volumes were undertaken, still bears many marks of the difficulty of compressing the matter into brief compass. But the writer hopes that it may seem to the reader as remarkable as it does to him, that it should be possible to comprehend under one point of view, and that so simple, the introduction to nearly all the surfaces ordinarily studied in the geometry of three dimensions, as well as the usual line geometry. Chapters V, VI, VII seek to make clear that this is so. To these the earlier chapters are auxiliary. But Chapters II and IV have been introduced as much for their own interest as for their illustrative value; the results obtained in these two chapters are not required in the subsequent pages. It is hoped that the Table of Contents, and the Index, may make it easy to use the volume. It will of course be understood that the volume is throughout intended to be introductory and illustrative; hardly anywhere is it complete. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at 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. Nº de ref. del artículo: AAV9781330337486

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ISBN 10: 1330337484 ISBN 13: 9781330337486
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Descripción Condición: New. Nº de ref. del artículo: ria9781330337486_ing

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H. F. Baker
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Descripción Forgotten Books. Paperback. Condición: New. This item is printed on demand. 270 pages. Dimensions: 9.0in. x 6.0in. x 0.6in.Excerpt from Principles of Geometry, Vol. 4The present chapter consists of various examples of the interest and importance of the comparison of the geometry of spaces of different dimensions. The first section (pp. 1-32) is concerned with relations between theorems in to and in three dimensions. The second section (pp. 32-40) deals with the representation in four dimensions of some results belonging to ordinary space of three dimensions. The last section (pp. 40-64) deals with the employment of space of five dimensions for the consideration of properties arising both in three and in two dimensions. Some few references occur to space of any number of dimensions. Section I. Theorems Of Two And Three DimensionsThe conics touching the fives from six arbitrary lines of a plane. Let three lines, p, q, r, be given in a plane, as well as a fourth line containing two points, I, J; let any conic be drawn touching the four lines; let be the conic, through the points I, J, which contains the three intersections of the lines p, q, r; then this conic passes through the point, S, in which intersect the tangents from I, J to the former conic. Or, in other words (Vol. II, p. 81), the circle through the intersections of three tangents of a parabola contains the focus of this parabola. Thus if four lines be given, beside the line which contains the points, J, the conic touching the five lines being then definite, the four conics, all through I, J, each containing the intersections of three of the four given lines, meet in a point, namely, the point, S, in which the tangents from I, J to the former conic intersect (Vol. II, p. 82); namely, these are four circles meeting in the focus of the parabola. If now, finally, five lines be given, beside the line containing the points I, J, there will be five parabolas, each a conic touching the last line and four of the others, and five foci, S1, S2, . . . , S5. It is the case that the circle containing any three of these foci passes through the other two, that is, that the seven points S1, . . . , S5, I, J lie on a conic. Of this theorem a proof was given by Clifford (A synthetic proof of Miquels theorem, Math. Papers, 1882, p. 38), with the help of certain particular cubic curves. 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 item ships from La Vergne,TN. Paperback. Nº de ref. del artículo: 9781330337486

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H. F. Baker
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Descripción Forgotten Books, 2016. Condición: New. This item is printed on demand for shipment within 3 working days. Nº de ref. del artículo: LP9781330337486

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H F Baker
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Descripción Forgotten Books, 2017. Paperback. Condición: New. Language: English . Brand New Book ***** Print on Demand *****.Excerpt from Principles of Geometry, Vol. 4 The book, for which indeed, mostly, the earlier volumes were undertaken, still bears many marks of the difficulty of compressing the matter into brief compass. But the writer hopes that it may seem to the reader as remarkable as it does to him, that it should be possible to comprehend under one point of view, and that so simple, the introduction to nearly all the surfaces ordinarily studied in the geometry of three dimensions, as well as the usual line geometry. Chapters V, VI, VII seek to make clear that this is so. To these the earlier chapters are auxiliary. But Chapters II and IV have been introduced as much for their own interest as for their illustrative value; the results obtained in these two chapters are not required in the subsequent pages. It is hoped that the Table of Contents, and the Index, may make it easy to use the volume. It will of course be understood that the volume is throughout intended to be introductory and illustrative; hardly anywhere is it complete. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at 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. Nº de ref. del artículo: AAV9781330337486

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H. F. Baker
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Descripción Forgotten Books, 2016. Condición: New. book. Nº de ref. del artículo: M1330337484

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