Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 143
e middleof a circle all of which pass through a Take any circle with the center C(fig. 113), and let 0 be any point in theplane. If 0 is taken for the pole, and OCfor the initial line, of a system of polarcoordinates, the equation of the circle is r2 - 2 rb cos d + i2 - a2 = 0. (1) Let PXP2 be any… … If Q is the middle point of PXP2 and we now place OQ — r, we have ri + b cos 0. But this is the polar equation of a circle through the points 0 and C. Plot the following curves 1. r = a sin 2 0. 2. r = a cos 3 0. 3. r = a sin-Z 4. r = a cos 5. r 6. r8 = a2 sin 0. 7. j-2 = «°- sin 3 0. 8. r2 = a2…
Geometry, Analytic · Calculus
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