On the Forms of Plane Unicursal Quartic Curves PDF Download
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Author: Marian Ploss
Publisher:
ISBN:
Category :
Languages : en
Pages : 78
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Book Description
Author: Marian Ploss
Publisher:
ISBN:
Category :
Languages : en
Pages : 78
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Book Description
Author: Ruth Gentry
Publisher:
ISBN:
Category : Curves, Quartic
Languages : en
Pages : 110
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Book Description
Author: Peter Field
Publisher:
ISBN:
Category : Curves, Quintic
Languages : en
Pages : 35
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Book Description
Author: Ruth GENTRY
Publisher:
ISBN:
Category :
Languages : en
Pages : 73
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Book Description
Author: Linnaeus Wayland Dowling
Publisher:
ISBN:
Category : Curves, Quintic
Languages : en
Pages : 36
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Book Description
Author: Warren Gardner Bullard
Publisher:
ISBN:
Category : Curves, Quartic
Languages : en
Pages : 42
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Book Description
Author: Surendramohan Ganguli
Publisher:
ISBN:
Category : Curves, Algebraic
Languages : en
Pages : 268
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Author: Harold Hilton
Publisher:
ISBN:
Category : Curves, Algebraic
Languages : en
Pages : 422
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Book Description
Author: Joseph Nelson Rice
Publisher: Forgotten Books
ISBN: 9781330209219
Category : Mathematics
Languages : en
Pages : 36
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Book Description
Excerpt from On the in-and-Circumscribed Triangles of the Plane Rational Quartic Curve The last and most difficult case is when the six curves are all of them one and the same carve. It is to be noted that this formula gives the same number of triangles as has been found by the method used later. For example, in the case of the rational quartic, where a=4, A=6, a=18, the number of triangles is 8, which corresponds to that found on page 18. For the cuspidal quartic, where a=4, A=5, a=16, the number is two, which also corresponds to the number found on page 22. In this paper it is proposed to look into the existence and actual number of such triangles for the following types of rational quartics: I. Quartic with three double points. II. Quartic with one double point and a tacnode. III. Quartic with a triple point. IV. Quartic with two double points and a cusp. This discussion was led up to by preliminary work on the three-cusped rational quintic. Upon subjection to a quadratic transformation this curve goes into a rational quartic, which, it will be shown, has triangles of the kind here mentioned. Accordingly, it will first be proved that the quintic can have certain conditions imposed upon its coefficients so that it may acquire an additional cusp or a tacnode without degenerating. It will also be shown that it cannot have a triple point. 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.
Author: H. G. Telling
Publisher: Cambridge University Press
ISBN: 110749396X
Category : Mathematics
Languages : en
Pages : 89
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Book Description
Originally published in 1936, this book provides a concise account regarding the rational quartic curve in space of three and four dimensions.
