Excerpt from A New Analysis of a Plane Geometry, Finite and Differential: With Numerous Examples
Cases (5) and (7) are reduced in surd form and (6) by means of a point to measures of two elements. Thus we do away with the idea of reference elements.
But this brings us to another matter. We know that taking four arbitrary points, there is a relation between the six pairs of measures of two elements. We have also such relations in the case of three points and a line, two points and two lines and in the case of three lines. We have called such relations eliminants, being eliminants of relative position. Suppose we have reduced all our complex measures and noted all our eliminants. The matter of proving a relation between the complex measures reduces to proving the relation between their reductions with the help of the eliminants.
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Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book offers a refreshing perspective on the field of geometry by presenting a new way of analysing plane geometry. Euclidean geometry, which dominated the field for centuries after its inception, is replaced by a more modern approach that harnesses the power of algebraic functions and differential calculus to provide a comprehensive understanding of the subject. Using this method, the author reduces complex geometric measures to algebraic and trigonometric functions of measures of two elements, providing a novel framework for understanding geometry and its applications. This book will appeal to students, researchers, and anyone interested in gaining a deeper understanding of the fundamentals of geometry. 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. Seller Inventory # 9781332772957_0
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Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332772957
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332772957
Quantity: 15 available