## An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |

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Page v

... not unduly to increase the size of the book has prevented me from proceeding

beyond Curves of the Second Degree . I have introduced a short

Determinants . The great utility of these expressions in investigations connected

with ...

... not unduly to increase the size of the book has prevented me from proceeding

beyond Curves of the Second Degree . I have introduced a short

**Chapter**onDeterminants . The great utility of these expressions in investigations connected

with ...

Page vi

I should be glad if the very slight sketch contained in

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 .

I should be glad if the very slight sketch contained in

**Chapter**III . should be themeans 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 vii

ARTE , PAGE I. I 2 . 4 II I 2 . 10 . II . I 2 . 13 . DEFINITION of Trilinear Co - ordinates

Identical relation between the Trilinear Co - ordinates of a Point ib . 3 . Distance ...

**CHAPTER**I. TRILINEAR CO - ORDINATES . EQUATION OF A STRAIGHT LINE .ARTE , PAGE I. I 2 . 4 II I 2 . 10 . II . I 2 . 13 . DEFINITION of Trilinear Co - ordinates

Identical relation between the Trilinear Co - ordinates of a Point ib . 3 . Distance ...

Page viii

. I. 33 . 34 35 5 . 37 ib . ib . 40 42 IO . Every Equation of the Second Degree

represents a Conic Section 2 , 3 . Equation of the Conic described about the

Triangle ...

**CHAPTER**II . SPECIAL FORMS OF THE EQUATION OF THE SECOND DEGREE. I. 33 . 34 35 5 . 37 ib . ib . 40 42 IO . Every Equation of the Second Degree

represents a Conic Section 2 , 3 . Equation of the Conic described about the

Triangle ...

Page ix

58 3–6 . 59 64 . Definition of a Determinant Law of Formation of Determinants 7 .

Signs of the several Terms of a Determinant 8 . Sign changed by interchange of ...

**CHAPTER**III . ELIMINATION BETWEEN LINEAR EQUATIONS . ARTS . 2 . PAGE58 3–6 . 59 64 . Definition of a Determinant Law of Formation of Determinants 7 .

Signs of the several Terms of a Determinant 8 . Sign changed by interchange of ...

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### Common terms and phrases

angle angular points appears Author become BOOKS called Cambridge centre Chap chapter chord circle cloth co-ordinates coefficients coincide College common condition conic conic section considered constant corresponding Crown 8vo curve denoted described determine distance draw drawn eliminating equal equation Examples expressed find the equation fixed point focus follows given point given straight line gives harmonic Hence imaginary line at infinity locus meet observed obtained opposite sides pair parabola parallel passing pencil perpendicular point of intersection points of contact polar pole positive produced projection prove ratio reciprocal relation represented respect result right angles satisfy Schools second degree sides similar Similarly student taken tangents term theorem third three points tion touch Treatise triangle of reference values whence writing written