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A first course in analytical geometry (1905)
Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 38
CO-ORDINATES. THE POINT 21 4. Through a point P within a © to draw achord so that the parts PR and PQ may havea given difference d. Let PR = X, then PQ = x + d. Draw the diameter AB through P. Let PA = a, PB = 6, which are known. Then PQ • PR = PA • PB, or (x + d) X = ah, 2 whence =v/-.(fj-Geometry, Analytic
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