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Principles of Geometry, Vol. 4 (Classic Reprint) (2016)
EN PB NW RPISBN: 9781330337486 bzw. 1330337484, Bände: 2 und 4, in Englisch, 268 Seiten, Forgotten Books, Taschenbuch, neu, Nachdruck.
חדש מ: $13.57 (11 הצעות)
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Excerpt from Principles of Geometry, Vol. 4 The 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 Dimensions The 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 σ be the conic, through the points I, J, which contains the three intersections of the lines p, q, r; then this conic σ 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 t…, Paperback, תווית: Forgotten Books, Forgotten Books, קבוצת המוצרים: Book, לאור: 2016-11-17, תאריך שחרור: 2016-11-17, סטודיו: Forgotten Books, דרגה מכירות: 6163578.
Von Händler/Antiquariat, Amazon.com.
Excerpt from Principles of Geometry, Vol. 4 The 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 Dimensions The 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 σ be the conic, through the points I, J, which contains the three intersections of the lines p, q, r; then this conic σ 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 t…, Paperback, תווית: Forgotten Books, Forgotten Books, קבוצת המוצרים: Book, לאור: 2016-11-17, תאריך שחרור: 2016-11-17, סטודיו: Forgotten Books, דרגה מכירות: 6163578.
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Principles of Geometry, Vol. 4 (Classic Reprint)
EN PB NW RPISBN: 9781330337486 bzw. 1330337484, Band: 4, in Englisch, Forgotten Books, Taschenbuch, neu, Nachdruck.
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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Principles of Geometry, Vol. 3 (Classic Reprint)
EN NW RPISBN: 9781330337554 bzw. 1330337557, Band: 3, in Englisch, Forgotten Books, neu, Nachdruck.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, in-stock.
Excerpt from Principles of Geometry, Vol. 3 The present volume is devoted to geometry in three dimensions. The discussion of the logical standpoint, to which sufficient space has been given in the preceding volume, is left aside; and, from a desire to limit the size of the volume, many things are omitted which might well have been included. What is given may, however, be regarded as essential to any student who professes to have received a mathematical education. The aptitude for geometrical construction in space, important as it is in the applications of mathematics to physics and engineering, receives, in our educational system at present, less training than it deserves. It is the writers hope that this volume may help to emphasize this; and may convey to readers something of the fascination and freedom which belongs to the reduction of intricate geometrical relations to the properties of a constructed figure. Only by such methods, moreover, can progress be made beyond the first principles of the subject. Up to the end of Chapter III, this volume was in type when death severed an association to which the writer owed more help than he can well express. In business, James Bennet Peace was clear and honest; in friendship, constant and self-regardless; many beside the writer deplore his loss. To him, and to the co operation of the other members of the Staff of the University Press, great acknowledgment is due. 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 successful.
Excerpt from Principles of Geometry, Vol. 3 The present volume is devoted to geometry in three dimensions. The discussion of the logical standpoint, to which sufficient space has been given in the preceding volume, is left aside; and, from a desire to limit the size of the volume, many things are omitted which might well have been included. What is given may, however, be regarded as essential to any student who professes to have received a mathematical education. The aptitude for geometrical construction in space, important as it is in the applications of mathematics to physics and engineering, receives, in our educational system at present, less training than it deserves. It is the writers hope that this volume may help to emphasize this; and may convey to readers something of the fascination and freedom which belongs to the reduction of intricate geometrical relations to the properties of a constructed figure. Only by such methods, moreover, can progress be made beyond the first principles of the subject. Up to the end of Chapter III, this volume was in type when death severed an association to which the writer owed more help than he can well express. In business, James Bennet Peace was clear and honest; in friendship, constant and self-regardless; many beside the writer deplore his loss. To him, and to the co operation of the other members of the Staff of the University Press, great acknowledgment is due. 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 successful.
4
Principles of Geometry, Vol. 6 (Classic Reprint)
EN NWISBN: 9781330379042 bzw. 1330379047, Band: 6, in Englisch, FB&C Ltd, neu.
Lieferung aus: Kanada, In Stock, plus shipping.
H. F. Baker, Books, Science and Nature, Principles of Geometry, Vol. 6 (Classic Reprint), Principles of Geometry, Vol. 6 (Classic Reprint).
H. F. Baker, Books, Science and Nature, Principles of Geometry, Vol. 6 (Classic Reprint), Principles of Geometry, Vol. 6 (Classic Reprint).
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Principles of Geometry, Vol. 3 (Classic Reprint)
EN NWISBN: 9781330337554 bzw. 1330337557, Band: 3, in Englisch, FB&C Ltd, neu.
Lieferung aus: Kanada, In Stock, plus shipping.
H. F. Baker, Books, Science and Nature, Principles of Geometry, Vol. 3 (Classic Reprint), Principles of Geometry, Vol. 3 (Classic Reprint).
H. F. Baker, Books, Science and Nature, Principles of Geometry, Vol. 3 (Classic Reprint), Principles of Geometry, Vol. 3 (Classic Reprint).
6
Principles of Geometry, Vol. 6 (Classic Reprint)
EN PB NWISBN: 9781330379042 bzw. 1330379047, Band: 6, in Englisch, FB&C Ltd, Taschenbuch, neu.
Lieferung aus: Vereinigte Staaten von Amerika, In Stock.
Principles-of-Geometry-Vol-6~~H-F-Baker, Principles of Geometry, Vol. 6 (Classic Reprint), Paperback.
Principles-of-Geometry-Vol-6~~H-F-Baker, Principles of Geometry, Vol. 6 (Classic Reprint), Paperback.
7
Principles of Geometry, Vol. 3 (Classic Reprint)
EN PB NWISBN: 9781330337554 bzw. 1330337557, Band: 3, in Englisch, FB&C Ltd, Taschenbuch, neu.
Lieferung aus: Vereinigte Staaten von Amerika, In Stock.
Principles-of-Geometry-Vol-3~~H-F-Baker, Principles of Geometry, Vol. 3 (Classic Reprint), Paperback.
Principles-of-Geometry-Vol-3~~H-F-Baker, Principles of Geometry, Vol. 3 (Classic Reprint), Paperback.
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Principles of Geometry, Vol. 4 (Classic Reprint) (2017)
EN PB NW RPISBN: 9781330337486 bzw. 1330337484, Band: 4, in Englisch, 270 Seiten, Forgotten Books, Taschenbuch, neu, Nachdruck.
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Paperback, תווית: Forgotten Books, Forgotten Books, קבוצת המוצרים: Book, לאור: 2017-04-29, סטודיו: Forgotten Books.
Von Händler/Antiquariat, Blackwell's U.K.
Paperback, תווית: Forgotten Books, Forgotten Books, קבוצת המוצרים: Book, לאור: 2017-04-29, סטודיו: Forgotten Books.
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Principles of Geometry, Vol. 4 (Classic Reprint) (2017)
EN PB US RPISBN: 9781330337486 bzw. 1330337484, Band: 4, in Englisch, 270 Seiten, Forgotten Books, Taschenbuch, gebraucht, Nachdruck.
חדש מ: CDN$ 21.07 (5 הצעות)
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Lieferung aus: Kanada, Usually ships within 1 - 2 business days, ממש דמי המשלוח יכולים להיות שונים.
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Paperback, תווית: Forgotten Books, Forgotten Books, קבוצת המוצרים: Book, לאור: 2017-04-29, סטודיו: Forgotten Books.
Von Händler/Antiquariat, Gagazet Media.
Paperback, תווית: Forgotten Books, Forgotten Books, קבוצת המוצרים: Book, לאור: 2017-04-29, סטודיו: Forgotten Books.
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Principles of Geometry, Vol. 4 (Classic Reprint) (2016)
EN PB NW RPISBN: 9781330337486 bzw. 1330337484, Band: 4, in Englisch, 268 Seiten, Forgotten Books, Taschenbuch, neu, Nachdruck.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Usually dispatched within 6-10 business days, בתוספת משלוח (אם נשלח).
Von Händler/Antiquariat, Blackwell's UK.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Von Händler/Antiquariat, Blackwell's UK.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
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