An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page v
... I have introduced a short Chapter on Determinants . The great utility of these expressions in investigations connected with curves of the second degree will , I hope , be a sufficient excuse for the employment of a notation.
... I have introduced a short Chapter on Determinants . The great utility of these expressions in investigations connected with curves of the second degree will , I hope , be a sufficient excuse for the employment of a notation.
Page vi
... Chapter III . should be the means of inducing any of my readers to refer to the original memoirs on this and kindred subjects . GONVILLE AND CAIUS COLLEGE , July , 1861 . ERRATA . Page Line 21 I after m insert ) 21 7 52 12 56 5 for 2mn ...
... Chapter III . should be the means of inducing any of my readers to refer to the original memoirs on this and kindred subjects . GONVILLE AND CAIUS COLLEGE , July , 1861 . ERRATA . Page Line 21 I after m insert ) 21 7 52 12 56 5 for 2mn ...
Page vii
... CHAPTER I. TRILINEAR CO - ORDINATES . ARTS . EQUATION OF A STRAIGHT LINE . PAGE I. DEFINITION of Trilinear Co - ordinates I 2 . 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given ...
... CHAPTER I. TRILINEAR CO - ORDINATES . ARTS . EQUATION OF A STRAIGHT LINE . PAGE I. DEFINITION of Trilinear Co - ordinates I 2 . 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given ...
Page viii
... CHAPTER II . SPECIAL FORMS OF THE EQUATION OF THE SECOND DEGREE . PAGE 2 UN NUN 25 26 27 29 30 ib . I. Every Equation of the Second Degree represents a Conic Section · 33 2 , 3 . Equation of the Conic described about the Triangle of ...
... CHAPTER II . SPECIAL FORMS OF THE EQUATION OF THE SECOND DEGREE . PAGE 2 UN NUN 25 26 27 29 30 ib . I. Every Equation of the Second Degree represents a Conic Section · 33 2 , 3 . Equation of the Conic described about the Triangle of ...
Page ix
... 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 again Equation of the ...
... 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 again Equation of 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