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An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)

Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 61

An illustration from An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions, 1869, leaf 61
he first quadrant, so that r, as found from r cos 6 = 7 orr sin 6 = 5, will be positive. This value will be found to be ap-proximately r = 8.6023. If we wish to find only the value of r,we may eliminate 6 from the original equations by squaring andadding, for cos2 0 -f- sin2 0 = 1; hence r2 = 74, r… … Distance of a Given Point from a Given Line. 73. We suppose, now, the axes to be rectangular, and that it isrequired to find the distance of a point given by its co-ordinates,from a line given by its equation. Instead of finding the co-ordi-nates of the foot of the perpendicular, and using the…

Geometry, Analytic

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