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—6 . Investigation of Equations of certain Straight Lines 6 7 . Every Straight Line may be represented by an Equation of the ...
... 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4—6 . Investigation of Equations of certain Straight Lines 6 7 . Every Straight Line may be represented by an Equation of the ...
Page viii
... Three given Straight Lines Harmonic Relation of Points and Lines ON INVOLUTION . Definitions Anharmonic Properties of Points and Lines in Involution CHAPTER II . SPECIAL FORMS OF THE EQUATION OF THE SECOND DEGREE . PAGE 2 UN NUN 25 26 ...
... Three given Straight Lines Harmonic Relation of Points and Lines ON INVOLUTION . Definitions Anharmonic Properties of Points and Lines in Involution CHAPTER II . SPECIAL FORMS OF THE EQUATION OF THE SECOND DEGREE . PAGE 2 UN NUN 25 26 ...
Page xi
... points General Equation of a Point · PAGE . 119 ib . Identical relation between the co - ordinates of any straight ... three sides of the triangle of reference 125 7 . Equation of circumscribed Conic 126 8 . Equation of the Pole of a given ...
... points General Equation of a Point · PAGE . 119 ib . Identical relation between the co - ordinates of any straight ... three sides of the triangle of reference 125 7 . Equation of circumscribed Conic 126 8 . Equation of the Pole of a given ...
Page xii
... points at infinity to their point of intersection a pencil of which the anharmonic ratio is ( π - 24 ) √ = 1 143 22 ... three points and two tangents be given , four conics can be drawn ib . · 31 . • If two points and three tangents be ...
... points at infinity to their point of intersection a pencil of which the anharmonic ratio is ( π - 24 ) √ = 1 143 22 ... three points and two tangents be given , four conics can be drawn ib . · 31 . • If two points and three tangents be ...
Page 1
... three given straight lines in that plane , these straight lines not passing through the same point . The triangle ... points of the triangle of reference by the letters A , B , C , the lengths of the sides respectively opposite to them by a , ...
... three given straight lines in that plane , these straight lines not passing through the same point . The triangle ... points of the triangle of reference by the letters A , B , C , the lengths of the sides respectively opposite to them by a , ...
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Common terms and phrases
a₁ aa+bB+cy Algebra angular points anharmonic ratio Arithmetic asymptotes auxiliary conic b₁ c₁ CAMBRIDGE CLASS BOOKS centre Chap chord cloth co-ordinates coefficients College common tangents condition conic passing conic section conics intersect Crown 8vo curve determine directrix ellipse find the equation fixed point focus four points given conic given point given straight line Hence hyperbola imaginary investigated line at infinity line joining locus meets the conic obtain pair parabola Pascal's Theorem perpendicular point f point of intersection points at infinity points of contact PQRS projection prove reciprocal polars represented respect right angles second degree Second Edition Similarly sin POS system of conics tangents tangents drawn theorem three points three straight lines touches the line Treatise triangle of reference U'bc ua² V'ca Vb² vß² W'ab wy² λα