An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... Straight Line may be represented by an Equation of the First Degree 9 8 . 9 . Every Equation of the First Degree represents a Straight Line Point of Intersection of Two Straight Lines II 12 10 . II . Equation of a Straight Line passing ...
... Straight Line may be represented by an Equation of the First Degree 9 8 . 9 . Every Equation of the First Degree represents a Straight Line Point of Intersection of Two Straight Lines II 12 10 . II . Equation of a Straight Line passing ...
Page viii
... Lines containing it , an Harmonic Pencil · Anharmonic Ratio of a given Pencil Fourth Harmonic to Three given Straight Lines Harmonic Relation of Points and Lines ON INVOLUTION . Definitions Anharmonic Properties of Points and Lines in ...
... Lines containing it , an Harmonic Pencil · Anharmonic Ratio of a given Pencil Fourth Harmonic to Three given Straight Lines Harmonic Relation of Points and Lines ON INVOLUTION . Definitions Anharmonic Properties of Points and Lines in ...
Page ix
... a Determinant 58 3—6 . Law of Formation of Determinants 59 7 . Signs of the several Terms of a Determinant 64 8 . Sign changed by interchange of two Consecutive Lines or Columns 9 . • Multiplication of a Determinant by a given Quantity ...
... a Determinant 58 3—6 . Law of Formation of Determinants 59 7 . Signs of the several Terms of a Determinant 64 8 . Sign changed by interchange of two Consecutive Lines or Columns 9 . • Multiplication of a Determinant by a given Quantity ...
Page xi
... Straight Line Interpretation of the Negative Sign . Equation of certain points General Equation of a Point · PAGE ... given straight line , and of the centre . Condition for a Parabola 127 9 . Circular points at infinity ib . IO ...
... Straight Line Interpretation of the Negative Sign . Equation of certain points General Equation of a Point · PAGE ... given straight line , and of the centre . Condition for a Parabola 127 9 . Circular points at infinity ib . IO ...
Page xii
... given points , cut any straight line in a system of points in involution • 26. Orthogonal Projection 145 ib . ON THE DETERMINATION OF A CONIC FROM FIVE GIVEN GEOMETRI- CAL CONDITIONS . 28 . If five points be given , one conic only can ...
... given points , cut any straight line in a system of points in involution • 26. Orthogonal Projection 145 ib . ON THE DETERMINATION OF A CONIC FROM FIVE GIVEN GEOMETRI- CAL CONDITIONS . 28 . If five points be given , one conic only can ...
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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