An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 . · 8 . 9 . Every Straight Line may be represented by an ...
... 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 . · 8 . 9 . Every Straight Line may be represented by an ...
Page viii
... Three given Straight Lines 27 · 25 . Harmonic Relation of Points and Lines 29 26 . ON INVOLUTION . Definitions 30 31 27-29 . Anharmonic Properties of Points and Lines in Involution CHAPTER II . SPECIAL FORMS OF THE EQUATION OF THE ...
... Three given Straight Lines 27 · 25 . Harmonic Relation of Points and Lines 29 26 . ON INVOLUTION . Definitions 30 31 27-29 . Anharmonic Properties of Points and Lines in Involution CHAPTER II . SPECIAL FORMS OF THE EQUATION OF THE ...
Page xi
... three circles described on the diagonals of a complete quadrilateral as ... 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 ...
... three circles described on the diagonals of a complete quadrilateral as ... 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 xiii
... points on , or any four tan- gents to , a conic , is constant • PAGE • 158 Any system of points in involution ... three points and two tangents be given , four conics can be drawn 163 5 . If two points and three tangents be given , four ...
... points on , or any four tan- gents to , a conic , is constant • PAGE • 158 Any system of points in involution ... three points and two tangents be given , four conics can be drawn 163 5 . If two points and three tangents be given , four ...
Page xiv
... three points , forming a con- jugate triad PAGE 171 · 173 · 18 . 19 . Envelope of a side of an inscribed triangle whose other sides pass each through a fixed point Locus of a vertex of a circumscribed triangle , whose other ver- tices ...
... three points , forming a con- jugate triad PAGE 171 · 173 · 18 . 19 . Envelope of a side of an inscribed triangle whose other sides pass each through a fixed point Locus of a vertex of a circumscribed triangle , whose other ver- tices ...
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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