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Plane and solid analytic geometry; an elementary textbook (1904)

Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 89

An illustration from Plane and solid analytic geometry; an elementary textbook, 1904, leaf 89
o axes bisecting the angle between the old axes. 72 ANALYTIC GEOMETRY [Cn. VI, §§ 49, 50 4. Through what angle must the coordinate axes be turned,if in its new position the X-axis goes through the point (5, 7) ? 5. Given the equation xr + y2 -4- 8 x — ky = 0. To- whatpoint must the origin be… … Fig. 44. % Let the student show that 49. Transformation fromany Cartesian system to anyother Cartesian system, hav-ing the same origin. — InFig. 44, OX and OY arethe original axes, and co isthe angle between them ;OX and OY are the newaxes; OX and OY makeangles 6 and cj> with OX. sin w…

Geometry, Analytic

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