Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 24
6. Transformation from Rectangular to Polar Co-ordinates,and Vice Versa. Case I. When the polar axis co-incides with the ic-axis and the poleis at the origin., Let P be the point [x, y) in rectangular co-ordinates and (p, 6) in polar co-ordinates. Then from rt. A POQ, ^. ^ Fig. 7. ^ . A \x and y in… … Case III. Pole at ori-gin; polar axis makes anangle <^ with cc-axis. Here we get ic = p cos (^ H- <^),y = p sin (6 -f </>). ANALYTICAL GEOMETRY Y /^ P \ 0 a Q Fig. 10. Case IV. If in Case III the pole is at point {a, 5), we get: — X = a -\- p cos {0 -f <j>),2/ = Z> + p sin (^ +…
Geometry, Analytic
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