An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)
Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 253
s of X, one of the fixed points as origin,and the axis of Y parallel to the line of given length. Let b and cbe the constant parts of this line above and below the axis, and athe distance OA between thefixed points. Let z representthe variable abscissa of D.Then the equation of OBpassing through… … INTERSECTION OF VARIABLE LINES. 249 therefore we have two relations between the co-ordinates of P andthe auxiliary variable z. Eliminating the latter by subtraction, ay = (b -f- c)x — ac- The locus is therefore a straight line, passing through the points (0, — c) and (a, 6). 338. Instead of a…
Geometry, Analytic
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