An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page viii
... Polar • Equation of a Line joining Two given Points Equation of the Tangent at a given Point Pole of a given Straight Line . 51 F 52 53 ib . 54 • ib . • • 26 . 27 . Condition of Tangency . Condition for a Parabola Co - ordinates of the ...
... Polar • Equation of a Line joining Two given Points Equation of the Tangent at a given Point Pole of a given Straight Line . 51 F 52 53 ib . 54 • ib . • • 26 . 27 . Condition of Tangency . Condition for a Parabola Co - ordinates of the ...
Page ix
... Polar of a given Point ib . 9 . Co - ordinates of the Pole of a given Straight Line 10 . · Equation of the pair of Tangents drawn to the Conic from a given external Point 80 11 . Co - ordinates of the Centre 82 12 . Equation of the ...
... Polar of a given Point ib . 9 . Co - ordinates of the Pole of a given Straight Line 10 . · Equation of the pair of Tangents drawn to the Conic from a given external Point 80 11 . Co - ordinates of the Centre 82 12 . Equation of the ...
Page x
... Polar Reciprocal • 105 5 . and vice versâ · 6 , 7 . The polar reciprocal of a conic is a conic 8 . The degree of a curve is the same as the class of its reciprocal , Equation of the Polar Reciprocal of one Conic with regard to 106 · 107 ...
... Polar Reciprocal • 105 5 . and vice versâ · 6 , 7 . The polar reciprocal of a conic is a conic 8 . The degree of a curve is the same as the class of its reciprocal , Equation of the Polar Reciprocal of one Conic with regard to 106 · 107 ...
Page xi
... polar reciprocal with respect to the other 116 Condition that two pairs of straight lines may form an har- . monic pencil ib . 118 • 119 24 , Foci of a quadrilateral 25 . 28 . 29 . 30 . The three circles described on the diagonals of a ...
... polar reciprocal with respect to the other 116 Condition that two pairs of straight lines may form an har- . monic pencil ib . 118 • 119 24 , Foci of a quadrilateral 25 . 28 . 29 . 30 . The three circles described on the diagonals of a ...
Page xii
... polar Co - ordinates EXAMPLES PAGE 141 142 144 145 1-3 . 4-7 . 8 . CHAPTER VIII . ON THE INTERSECTION OF CONICS , AND ON PROJECTIONS . Any two conics intersect in four points , real or imaginary . Vertices of the quadrangle formed by ...
... polar Co - ordinates EXAMPLES PAGE 141 142 144 145 1-3 . 4-7 . 8 . CHAPTER VIII . ON THE INTERSECTION OF CONICS , AND ON PROJECTIONS . Any two conics intersect in four points , real or imaginary . Vertices of the quadrangle formed by ...
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Common terms and phrases
angular points asymptotes ax+bB+cy b₁ b₂ C₁ Cambridge centre Chap co-ordinates coefficients College common tangents conic section Crown 8vo determinant directrix Edition equation Fcap find the equation fixed point follows four points given conic given point given straight line Hence imaginary investigated Let the equation line at infinity line joining locus meets the conic nine-point circle numerous Illustrations obtain opposite sides Owens College pair parabola Pascal's Theorem perpendicular point f points of intersection pole Professor prove radical axis ratios rectangular hyperbola represented respect right angles second degree shewn similar and similarly sin POS tangents tangents drawn term a,b,c theorem three straight lines tion touches the line triangle of reference Ua² ux² V'ca v'f+u'g+wh va² values Vb² vß² W. K. CLIFFORD W'ab whence wy² λα