An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... 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 through Two given Points ib . Equation ...
... 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 through Two given Points ib . Equation ...
Page viii
... 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 Reference · 34 4 . Position 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 Reference · 34 4 . Position of the ...
Page ix
... 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 Tangent at a given Point 3 . 4 , 5 . Condition that a ...
... 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 Tangent at a given Point 3 . 4 , 5 . Condition that a ...
Page x
... Equation of the Polar Reciprocal of one Conic with regard to another ΙΟΙ · IO . Instances of Transformation · 12 . Brianchon's Theorem 103 тоб 13 . · 15-17 . Reciprocation with respect to a Circle The anharmonic ratio of the Pencil ...
... Equation of the Polar Reciprocal of one Conic with regard to another ΙΟΙ · IO . Instances of Transformation · 12 . Brianchon's Theorem 103 тоб 13 . · 15-17 . Reciprocation with respect to a Circle The anharmonic ratio of the Pencil ...
Page xi
... Equation of certain points General Equation of a Point · PAGE . 119 ib . Identical 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 ...
... Equation of certain points General Equation of a Point · PAGE . 119 ib . Identical 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 ...
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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