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Plane and solid analytic geometry (1920)

Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 76

An illustration from Plane and solid analytic geometry, 1920, leaf 76
= 0. 12. a2 + 2/2 + 4aa-8fo/ + 16&2 = 0. 13. a^+^ + 3 = 0. 14. x2 + y2 — 2x + 4y+10 = 0. 15. 3a;2 + 32/2-4.T + 22/4-7 = 0. 16. 5a2+ 5?/2-6a+ 8?/= 12. 17. 3x2 + Sy2 — x + y = 6. 3. Tangents. Let the circle(1) ^+2/2 = /02 be given, and let Px: (a^, 2/1) be any point of this circle. Tofind the… … Fig. 2 70 ANALYTIC GEOMETRY We wish, therefore, to find the equation of the line whichpasses through the point (xl9 yx) and has the slope A/ = — xx/yvBy Ch. II, § 2, (II), the equation of this line is (2) „_ ft „_&(,_«,). This equation can be simplified by multiplying through byyx and…

Geometry, Analytic

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