Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 155
mustsatisfy the condition thatthe equation in a has equalroots. The equation of theenvelope is therefore (y — X — c)2 + 4 c.^ = 0,which reduces to?/2 - 2 xy + xr — 2 cy + 2 ex + C2 = 0 and represents a parabola.This problem furnishesmethod frequently usedto construct a parabola tan-gent to two… … SECOND DEGREE EQUATION 141 If the given points are + 5 on one line and + 5 on the other, the straightlines joining the points of the given lines the sum of whose marks is + 5envelop the pai-abola required. 3. Through a fixed point a system of straight lines is drawn. Findthe locus of the middle…
Geometry, Analytic
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