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" The asymptotes, if all real, meet the curve again in three finite points, which lie in a right line F, and the product of the distances of any point of the curve from the three asymptotes is in a constant ratio to its distance from the line F. In equation... "
Oxford, Cambridge and Dublin Messenger of Mathematics - Page 30
1886
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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Conic sections - 1852 - 338 pages
...asymptotes, if all real, meet the curve again in three finite points, which lie in a right line F, and the product of the distances of any point of the curve from the three asymptotes is in a constant ratio to its distance from the line F. In equation (2) let BDF coincide,...
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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Conic sections - 1852 - 338 pages
...asymptotes, if all reed, meet the curve again in three finite points, which lie in a right line F, and the product of the distances of any point of the curve from the three asymptotes is in a constant ratio to its distance from the line F. In equation (2) let BDF coincide,...
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Introduction to the Theory of Analytic Functions

James Harkness, Frank Morley - Analytic functions - 1898 - 358 pages
...with centre a. Then, if lP = a, we have yt-fi—x— a, and iy-^l \y+b\ = \x—a\ = a. constant. Thus the product of the distances of any point of the /-curve from two fixed points b, — b is constant. Such a curve is called a cassinian. Fig. 62 Fig. 62. shows the...
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