An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... 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 First Degree 9 ...
... 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 First Degree 9 ...
Page viii
... 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 27 29 30 ib . I. Every Equation of ...
... 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 27 29 30 ib . I. Every Equation of ...
Page xi
... relation between the co - ordinates of any straight Line . · An equation of the nth degree represents a curve of the nth class 121 122 5 . • 124 6 . Equation of a Conic , touching the three sides of the triangle of reference 125 7 ...
... relation between the co - ordinates of any straight Line . · An equation of the nth degree represents a curve of the nth class 121 122 5 . • 124 6 . Equation of a Conic , touching the three sides of the triangle of reference 125 7 ...
Page 1
... relation exists , which we proceed to investigate . If △ denote the area of the triangle of reference , a , B , Y , the trilinear co - ordinates of any point , then aa + bB + cy = 2A . Let P be the given point , and first suppose it to ...
... relation exists , which we proceed to investigate . If △ denote the area of the triangle of reference , a , B , Y , the trilinear co - ordinates of any point , then aa + bB + cy = 2A . Let P be the given point , and first suppose it to ...
Page 3
... relation between two co- ordinates , B and y for example , and this may be made homo- geneous in a , ß , y by multiplying each term by ax + bB + cy 2A raised to a suitable power . Thus , the equation 1-2 AREA OF THE TRIANGLE OF ...
... relation between two co- ordinates , B and y for example , and this may be made homo- geneous in a , ß , y by multiplying each term by ax + bB + cy 2A raised to a suitable power . Thus , the equation 1-2 AREA OF THE TRIANGLE OF ...
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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