An Elementary Treatise on Conic Sections |
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Page v
... Parabola , and Hy- perbola , defined with reference to a focus and directrix , before considering the General Equation of the Second Degree . I believe that this arrangement is the best for beginners . The examples in the body of each ...
... Parabola , and Hy- perbola , defined with reference to a focus and directrix , before considering the General Equation of the Second Degree . I believe that this arrangement is the best for beginners . The examples in the body of each ...
Page vii
... PARABOLA Examples on Chapter V CHAPTER VI . THE ELLIPSE Examples on Chapter VI CHAPTER VII . THE HYPERBOLA Examples on Chapter VII PAGE 1 12 43 47 888888 60 83 105 112 138 146 162 CHAPTER VIII . POLAR EQUATION OF A CONIC , THE FOCUS ...
... PARABOLA Examples on Chapter V CHAPTER VI . THE ELLIPSE Examples on Chapter VI CHAPTER VII . THE HYPERBOLA Examples on Chapter VII PAGE 1 12 43 47 888888 60 83 105 112 138 146 162 CHAPTER VIII . POLAR EQUATION OF A CONIC , THE FOCUS ...
Page viii
Charles Smith. Axis and latus rectum of a parabola Tracing conics · Equation of the asymptotes of a conic . Condition ... parabolas through four points Centre - locus of conics through four points . [ See also 296 ] Diagonal - points of a ...
Charles Smith. Axis and latus rectum of a parabola Tracing conics · Equation of the asymptotes of a conic . Condition ... parabolas through four points Centre - locus of conics through four points . [ See also 296 ] Diagonal - points of a ...
Page ix
... Parabola touching the axes of co - ordinates . Confocal conics Osculating conics Pairs of common chords of two ... parabola The asymptotes 288 289 · Condition for a rectangular hyperbola 290 The circumscribing circle 290 The circular ...
... Parabola touching the axes of co - ordinates . Confocal conics Osculating conics Pairs of common chords of two ... parabola The asymptotes 288 289 · Condition for a rectangular hyperbola 290 The circumscribing circle 290 The circular ...
Page x
Charles Smith. PAGE Condition for ellipse , parabola , or hyperbola Foci • Equation of a circumscribing conic Equation of an inscribed conic 292 293 293 294 Equation of the inscribed circle 294 Conics through four fixed points 295 Conics ...
Charles Smith. PAGE Condition for ellipse , parabola , or hyperbola Foci • Equation of a circumscribing conic Equation of an inscribed conic 292 293 293 294 Equation of the inscribed circle 294 Conics through four fixed points 295 Conics ...
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Common terms and phrases
2hxy a² b2 angular points asymptotes ax² axes bisect by² Cambridge centre coincident common confocal conics conic touching conjugate diameters constant corresponding Crown 8vo curve diagonals director-circle directrix distance eccentric angles Edition ellipse equal angles Extra fcap fcap find the equation find the locus fixed point fixed straight line foci focus four given points four points given conic given straight line imaginary inscribed latus rectum Let the equation line at infinity line joining line whose equation locus meet middle point nine-point circle normals original conic parabola Pascal's Theorem perpendicular point of intersection points at infinity points of contact polar pole Professor prove quadrilateral radical axis radius ratio rectangular hyperbola right angles second degree self-polar shew sides square tangential equation tangents triangle formed triangle of reference Trinity College values vertex vß² x² y² zero
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