An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page viii
... Points and Lines 29 26 . ON INVOLUTION . Definitions 30 31 27-29 ... Four Circles which touch the Three Sides of the Triangle of Reference 43 11 ... points where they meet the third Any Chord of a Conic is divided harmonically by the ...
... Points and Lines 29 26 . ON INVOLUTION . Definitions 30 31 27-29 ... Four Circles which touch the Three Sides of the Triangle of Reference 43 11 ... points where they meet the third Any Chord of a Conic is divided harmonically by the ...
Page x
... points in the line at infinity Radical axis of two similar and similarly situated Conics Property of the nine - point ... four intersect- ing straight lines , is the same as that of the range formed by their poles • · 113 15 . Any straight ...
... points in the line at infinity Radical axis of two similar and similarly situated Conics Property of the nine - point ... four intersect- ing straight lines , is the same as that of the range formed by their poles • · 113 15 . Any straight ...
Page xi
... four straight lines form an harmonic pencil , either pair will be its own ... Points and Lines . The angle between the radius vector and tangent in any ... points General Equation of a Point • ib . 133 • Identical relation between the co ...
... four straight lines form an harmonic pencil , either pair will be its own ... Points and Lines . The angle between the radius vector and tangent in any ... points General Equation of a Point • ib . 133 • Identical relation between the co ...
Page xii
... four points , real or imaginary . Vertices of the quadrangle formed by these points If the four points of intersection be all real , or all imaginary , all the vertices are real . If two of the points of inter- section be real , and two ...
... four points , real or imaginary . Vertices of the quadrangle formed by these points If the four points of intersection be all real , or all imaginary , all the vertices are real . If two of the points of inter- section be real , and two ...
Page xiii
... four points on , or any four tan- gents to , a conic , is constant • PAGE • 158 Any system of points in involution projects into a system in involution , and the foci of one system project into the foci of the other ib . · 26 . A system ...
... four points on , or any four tan- gents to , a conic , is constant • PAGE • 158 Any system of points in involution projects into a system in involution , and the foci of one system project into the foci of the other ib . · 26 . A system ...
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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