Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 174
the axis Ox. Suppose (Fig. 61) that we havefound that a root lies betweenOQi = al and OQo^Xo, the ordi-nates QxPi = 2/i and Q^Po = y-i beingof opposite sign. Then .Il is ^ firstapproximation to the root x-^ andif Qi and Qo lie close together, theintercept OQ made by the secantPiPo on the axis Ox is… … Fig. G1 ^2 - ^i 2/2 - 2/1 M 162 PLANE ANALYTIC GEOMETRY [VIII, § 162 hence the correction li is 7 *^2 ~^ 1 -—2/1-Ay y-i - ih This process, which is the same as that used in interpolatingin a table of logarithms, is known as the regula falsi, or ruleof false position. 163. Tangent Method. Another…
Geometry, Analytic
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