Smart, Edward Howard · London : Macmillian and Co. · leaf 156
future be called the length of the semi-diameter conjugate to CP.We can now add a further corollary to >^ 2, viz. that if twotangents be drawn to a central conic the ratio of theirlengths is equal to that of the lengths of the parallel semi-diameters. For the ratio of the squares in each case is… … Fio. 65. Let QVQ, qi-q (Fig 65) be any two ordinates of the diameterPV. Then, since PV meets the conic again at infinitj^, Newtonstheorem erives & QV2 my^ Ai V^Trrr-T-.— = — . Also = unity. PV.Vo) P^j.-yoo 1700 ^ . QV2 qv- . QV2 ^ ^ • • -^^^ = ^ • • -1^^ = constant.PV P? PV This constant is of…
Geometry, Projective
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