An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... Point ib . Distance between two given Points 4—6 . Investigation of Equations of certain Straight Lines 6 7 . Every ... Point of Intersection of Two Straight Lines II 12 10 . II . Equation of a Straight Line passing through Two given ...
... Point ib . Distance between two given Points 4—6 . Investigation of Equations of certain Straight Lines 6 7 . Every ... Point of Intersection of Two Straight Lines II 12 10 . II . Equation of a Straight Line passing through Two given ...
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 . 24 . 25 . 26 . 27 . Equation of a Line joining Two given Points . Equation of the Tangent at a given Point ...
... 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 . 24 . 25 . 26 . 27 . Equation of a Line joining Two given Points . Equation of the Tangent at a given Point ...
Page ix
... given Quantity IO . Minors of a Determinant · 5625 65 66 ib . II . Condition that a Quadratic Function may be ... Point in which a Straight Line , drawn in a given direction through a given Point of the Conic , meets the Curve again ...
... given Quantity IO . Minors of a Determinant · 5625 65 66 ib . II . Condition that a Quadratic Function may be ... Point in which a Straight Line , drawn in a given direction through a given Point of the Conic , meets the Curve again ...
Page xi
... a Straight Line Interpretation of the Negative Sign . 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 ...
... a Straight Line Interpretation of the Negative Sign . 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 ...
Page xii
... given points , cut any straight line in a system of points in involution • 26. Orthogonal Projection 145 ib . ON THE ... point and four tangents be given , two conics can be drawn • ib . 33 . 34 . If five tangents be given , one conic ...
... given points , cut any straight line in a system of points in involution • 26. Orthogonal Projection 145 ib . ON THE ... point and four tangents be given , two conics can be drawn • ib . 33 . 34 . If five tangents be given , one conic ...
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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