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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 81

An illustration from Plane and solid analytic geometry, 1897, leaf 81
int an infinite number of linescan be drawn. Therefore we should not expect to find anyequation. 35, Angle between Two Lines. I and II (Fig. 36) shall be two lines, making angles 0^ and O2respectively with XX, and f3 shall be one of the angles madeby them at their point of intersection. As we liave… … But tan ^1 = nrii and tan d^ = ma, where rrii and mj are therespective slopes of I and II. tan p mi — mal + mims [15] In applying this formula, the value of tan ^ may be foundto be negative. There are two cases in which this mayoccur: (1) As chosen, /8 may be an obtuse angle, when itstangent will…

Geometry, Analytic

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