Manning, Henry Parker, 1859- · Boston, U.S.A., Ginn & Company · leaf 85
s are perpendicular if cos (or2 — aj) + tan ip-i tan ip2 = 0. The lines a tan ix + S tan iy = i, it tan ia; + V tan iy, = i are perpendicular if aa + bb = 1. 6. The equation of a circle in x and y: sin ip cos 6 = cos ip tan ias,sin ip sin 6 = cos ip tan iy; , . 1 1 also, cos ip = —, = = —, • VI +… … 7. The equation of a boundary-curve: Let the axis of the boundary-curve which passes throughthe origin make an angle, a, with the axis of x, and let thepoint where the boundary-curve cuts this axis be at a distance,k, from the origin, positive if the origin is on the convex sideof the curve,…
Geometry, Non-Euclidean
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