An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
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Results 1-5 of 74
Page vii
... Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 ... Point of Intersection of Two Straight Lines Equation of a Straight Line passing through Two given Points . ib . Equation of ...
... Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 ... Point of Intersection of Two Straight Lines Equation of a Straight Line passing through Two given Points . ib . Equation of ...
Page viii
... points where they meet the third Any Chord of a conic is divided harmonically by the Conic , any Point , and its Polar 52 • 53 23 . Equation of a Line joining Two given Points ib . 24 . Equation of the Tangent at a given Point . 54 25 ...
... points where they meet the third Any Chord of a conic is divided harmonically by the Conic , any Point , and its Polar 52 • 53 23 . Equation of a Line joining Two given Points ib . 24 . Equation of the Tangent at a given Point . 54 25 ...
Page ix
... given Quantity 10 . Minors of a Determinant 83865 66 67 11 . Condition that a Quadratic Function may be resolvable ... point in which a straight line , drawn in a given direction through a given point of the conic , meets the conic again ...
... given Quantity 10 . Minors of a Determinant 83865 66 67 11 . Condition that a Quadratic Function may be resolvable ... 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 • . 88 ib . Êš ཊུ 89 91 19 . Equation of the nine - point Circle 92 20 . Locus of the intersection 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 • . 88 ib . Êš ཊུ 89 91 19 . Equation of the nine - point Circle 92 20 . Locus of the intersection 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
... given straight lines have a common radical axis . 121 29 . 30 . Polar reciprocal of a circle with regard to any point Instances of Transformation of Theorems by Reciprocation with respect to a point ib . 123 31 . 33 . Corresponding Points ...
... given straight lines have a common radical axis . 121 29 . 30 . Polar reciprocal of a circle with regard to any point Instances of Transformation of Theorems by Reciprocation with respect to a point ib . 123 31 . 33 . Corresponding Points ...
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Common terms and phrases
aa+bB+cy angular points asymptotes auxiliary conic b₁ Brianchon's Theorem C₁ centre Chap chord co-ordinates coefficients common tangents conic passing conic section determinant directrix find the equation fixed point fixed straight line focus follows four points given conic given point given straight line Hence imaginary internal bisectors investigated Let the equation line at infinity locus meets the conic nine-point circle obtain opposite sides pair parabola Pascal's Theorem perpendicular point f point of intersection points at infinity points of contact polar reciprocal projection prove radical axis reciprocal curve reciprocated with respect rectangular hyperbola represented right angles second degree similar and similarly system of conics tangents drawn theorem three points three straight lines triangle of reference ua² uf+w'g+v'h Vb² vß² W'ab Wc² whence wy²