An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Results 1-5 of 77
Page vii
... Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 . · 8 ... Point of Intersection of Two Straight Lines 9 · 11 12 • 10 . 11 . Equation of a Straight Line passing through Two ...
... Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 . · 8 ... Point of Intersection of Two Straight Lines 9 · 11 12 • 10 . 11 . Equation of a Straight Line passing through Two ...
Page viii
... points where they meet the third Any Chord of a Conic is divided harmonically by the Conic , any Point , and its Polar • Equation of a Line joining Two given Points Equation of the Tangent at a given Point Pole of a given Straight Line ...
... points where they meet the third Any Chord of a Conic is divided harmonically by the Conic , any Point , and its Polar • Equation of a Line joining Two given Points Equation of the Tangent at a given Point Pole of a given Straight Line ...
Page ix
... given Quantity Minors of a Determinant PAGE 59 · 60 • 65 · 66 • . 67 • 588 68 • ib . 69 71 Condition that a ... point in which a straight line , drawn in a given direction through a given point of the conic , meets the conic again ...
... given Quantity Minors of a Determinant PAGE 59 · 60 • 65 · 66 • . 67 • 588 68 • ib . 69 71 Condition that a ... point in which a straight line , drawn in a given direction through a given point of the conic , meets the conic again ...
Page x
... point Circle 89 · ib . . 91 19 . Equation of the nine - point Circle 92 20 . Directrix of a Parabola . 21 . Locus of ... given point A is divided harmonically by any Conic Section and the polar of A with respect to it 115 ARTS . 17 . 18 ...
... point Circle 89 · ib . . 91 19 . Equation of the nine - point Circle 92 20 . Directrix of a Parabola . 21 . Locus of ... given point A is divided harmonically by any Conic Section and the polar of A with respect to it 115 ARTS . 17 . 18 ...
Page xi
... Point • PAGE If four straight lines form an harmonic pencil , either pair will be its own polar reciprocal with ... given straight lines have a common radical axis Polar reciprocal of a Circle with regard to any point Instances of ...
... Point • PAGE If four straight lines form an harmonic pencil , either pair will be its own polar reciprocal with ... given straight lines have a common radical axis Polar reciprocal of a Circle with regard to any point Instances of ...
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Common terms and phrases
angular points asymptotes ax+bB+cy b₁ b₂ C₁ Cambridge centre Chap co-ordinates coefficients College common tangents conic section Crown 8vo determinant directrix Edition equation Fcap find the equation fixed point follows four points given conic given point given straight line Hence imaginary investigated Let the equation line at infinity line joining locus meets the conic nine-point circle numerous Illustrations obtain opposite sides Owens College pair parabola Pascal's Theorem perpendicular point f points of intersection pole Professor prove radical axis ratios rectangular hyperbola represented respect right angles second degree shewn similar and similarly sin POS tangents tangents drawn term a,b,c theorem three straight lines tion touches the line triangle of reference Ua² ux² V'ca v'f+u'g+wh va² values Vb² vß² W. K. CLIFFORD W'ab whence wy² λα