An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... EXAMPLES · 21 19 . ANHARMONIC RATIO . Definitions • 23 20 . The Anharmonic Ratio of a Pencil is equal to that of the range 21 . in which it is cut by any Transversal Definition of an Harmonic Pencil 228585 ib . ARTS . 22 . 23 . 24 . 25 .
... EXAMPLES · 21 19 . ANHARMONIC RATIO . Definitions • 23 20 . The Anharmonic Ratio of a Pencil is equal to that of the range 21 . in which it is cut by any Transversal Definition of an Harmonic Pencil 228585 ib . ARTS . 22 . 23 . 24 . 25 .
Page viii
... Point Pole of a given Straight Line . Condition of Tangency . Condition for a Parabola Co - ordinates of the Centre ib . 54 ib . ib . 55 EXAMPLES 56 CHAPTER III . ELIMINATION BETWEEN LINEAR EQUATIONS . ARTS . viii CONTENTS .
... Point Pole of a given Straight Line . Condition of Tangency . Condition for a Parabola Co - ordinates of the Centre ib . 54 ib . ib . 55 EXAMPLES 56 CHAPTER III . ELIMINATION BETWEEN LINEAR EQUATIONS . ARTS . viii CONTENTS .
Page ix
... EXAMPLES 280 68 70 CHAPTER IV . ON THE CONIC REPRESENTED BY THE GENERAL EQUATION OF THE 2 . SECOND DEGREE . To find the Point in which a Straight Line , drawn in a given direction through a given Point of the Conic , meets the Curve ...
... EXAMPLES 280 68 70 CHAPTER IV . ON THE CONIC REPRESENTED BY THE GENERAL EQUATION OF THE 2 . SECOND DEGREE . To find the Point in which a Straight Line , drawn in a given direction through a given Point of the Conic , meets the Curve ...
Page x
... EXAMPLES ཉ་ྲ 91 92 CHAPTER V. TRIANGULAR CO - ORDINATES . I. Definition of the Triangular Co - ordinates of a Point 2 . Formulæ relating to Straight Lines 94 3 . Formulæ relating to Conics 95 96 CHAPTER VI . RECIPROCAL POLARS . 3 ...
... EXAMPLES ཉ་ྲ 91 92 CHAPTER V. TRIANGULAR CO - ORDINATES . I. Definition of the Triangular Co - ordinates of a Point 2 . Formulæ relating to Straight Lines 94 3 . Formulæ relating to Conics 95 96 CHAPTER VI . RECIPROCAL POLARS . 3 ...
Page xi
... EXAMPLES Conditions for a Circle II - 13 . Tangential rectangular Co - ordinates 14. Tangential polar Co - ordinates EXAMPLES 128 • · · 129 130 132 ib . CHAPTER VIII . ON THE INTERSECTION OF CONICS , ON PROJECTIONS , AND ON THE ...
... EXAMPLES Conditions for a Circle II - 13 . Tangential rectangular Co - ordinates 14. Tangential polar Co - ordinates EXAMPLES 128 • · · 129 130 132 ib . CHAPTER VIII . ON THE INTERSECTION OF CONICS , ON PROJECTIONS , AND ON THE ...
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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