Smart, Edward Howard · London : Macmillian and Co. · leaf 158
^ -x^ in both cases, and the above theoremsgive as the required Cartesian equations referred to theprincipal axes, v 0^ X/ iP ^23^2 = ,72 <»• ;? + -l2 = l (ellipse) and ^»2 r a^ - X a a^ &2 2=-:;2 o^ ^2-f2=MVperbola). Ex. Plot (a) the ellipse, (6) the hyperbola for which a = 4, 6 = 3. P.G. I… … Pig. 67. PN- P(a^, y) as before, we have —— = constant, or in symbols AN ^2 — constant x ic, the required Cartesian equation. Ex. Plot the parabolas for which this constant (a) equals 2, (6>equals ^• The propertiesPN2 AN. NAPN2 BC2 AC2 (for the ellipse), BC^ (for the hyperbola), AN . NA AC- PN2…
Geometry, Projective
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
