Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 104
rectangular co-ordinatesrepresents a circle if, (1) The term in xy is absent, and (2) the coefficients of x^and y^ are equal. Note 1. We generally make the co-efficients of x^ and y^ unity by divisionif necessary. Note 2. The equation of the circlewith center (r, o) and radius r may alsobe found as… … 88 ANALYTICAL GEOMETRY it is to pass. Let tlie circle he ocP -{- i/^ -\- 2 Gx + 2Ti/ + C = 0,then tlie co-ordinates of each point, when substituted herein,give a relation betvreen G-, Y. and C. Hence, from three re-lations (equations) G, F. and C may be found. Example.—Find the circle through the…
Geometry, Analytic
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