Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 44
branch goes off indefi-nitely, never again turn-ing toward either axis;for as x increases, y in-creases indefinitely. 18. Symmetry. — A curve is said to be symmetricalwith respect to one of two axes (rectangular or oblique)when that axis bisects every chord parallel to the other. A curve is said to… … 28 ANALYTIC GEOMETRY [Ch. Ill, § 18 their point of intersection. Now, if, upon substitutingany value for x in an equation, we find two values of ?/,equal numerically but with opposite signs, the curve isevidently symmetrical with respect to the X-axis. Or,if, for every value of ?/, we find two…
Geometry, Analytic
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