Dudley Observatory, American Astronomical Society, American Institute of Physics · New York [etc.] American Institute of Physics [etc.] · leaf 354
that the distance of thepoint of bisection of the major axis, by the axis of the cylinder,from C, is always equal to the eccentricity of the ellipticsection. II. If in a right cone A S B, of which the vertical angle isa, sections be made through a point A, at a given distancefrom the vertex, S;… … Then (Fig. 2), C D being drawn parallel totion through it will be a parabola, of which Aordinate, and C B the corresponding abscissasnoting the parameter) the equation, px = 2 sin21 a. In the triangle C D A, we have B S, the sec-B is a double: hence (pv de- C M sin J « sin t AM = r sin /3 sin \ o)…
Astronomy
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