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Excerpt from On the Forms of Algebraic Plane Curves Whose Equations Are Trinomial
Where a and b are real numbers. Such a transformation consists mere ly in stretching the plane of the figure in directions parallel to the x and parallel to the y axis. Two curves will also be consid~ cred as having the same form if the equation of one can be obtained from the equation of the other by first making the equations homo geneous by the introduction of a new variable z and then interchang ing the variables x, y and z. Two curves whose equations can be made identical in this manner can be transformed into each other by a real projective transformation.
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On the Forms of Algebraic Plane Curves Whose Equations Are Trinomial
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Paperback. Zustand: New. Print on Demand. This book explores the intriguing mathematical world of real algebraic plane curves whose equations are trinomials. The author delves into their rich geometric properties, identifying common curve forms and their behaviors under transformations and intersections with axes and lines at infinity. The book's significance lies in its meticulous classification of these curves, which allows for a deeper understanding of their diverse characteristics. Through this exploration, the author illuminates the connections between the curves' algebraic equations and their geometric representations, revealing the interplay between algebra and geometry. The book presents a fascinating journey through the realm of algebraic curves, shedding light on their intrinsic properties and enriching our appreciation of the intricate beauty of mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9780282406004_0
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