Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 294
306. With some modifications the properties of Arts.269 and 270 are true for the hyperbola also, if thecorresponding figure be drawn. In the case of the hyperbola the tangent bisects theinterior, and the normal the exterior, angle between thefocal distances SP and SP. … It follows that, if an ellipse and a hyperbola have thesame foci aS and S, they cut at right angles at any commonpoint P. For the tangents in the two cases are respec-tively the internal and external bisectors of the angle SPS,and are therefore at right angles. 307. The equation to the straight…
Coordinates · Geometry, Analytic
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