A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
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Side vi
... particular Mr. Gaskin's , and Mr. Walton's " Examples on Analytic Geometry , " and Mr. Puckle's " Treatise on Conic Sections . " TRINITY COLLEGE , DUBLIN , July , 1855 . CONTENTS . CHAPTER I. Des Cartes ' Method of Co vi PREFACE .
... particular Mr. Gaskin's , and Mr. Walton's " Examples on Analytic Geometry , " and Mr. Puckle's " Treatise on Conic Sections . " TRINITY COLLEGE , DUBLIN , July , 1855 . CONTENTS . CHAPTER I. Des Cartes ' Method of Co vi PREFACE .
Side viii
... EXAMPLES ON RIGHT LINE . Problems where it is proved that three Lines meet in a Point , Three Bisectors of Sides of Triangle , . Three Bisectors of Angles of do . Perpendiculars from Vertices on Sides , • Perpendiculars at Middle Points ...
... EXAMPLES ON RIGHT LINE . Problems where it is proved that three Lines meet in a Point , Three Bisectors of Sides of Triangle , . Three Bisectors of Angles of do . Perpendiculars from Vertices on Sides , • Perpendiculars at Middle Points ...
Side ix
... EXAMPLES ON CIRCLE . Circular Loci , 85 • Condition that intercept by Circle on a given Line may subtend a right Angle at a given Point , . 88 If two Chords meet in a Point , Lines joining their extremities transversely meet on its ...
... EXAMPLES ON CIRCLE . Circular Loci , 85 • Condition that intercept by Circle on a given Line may subtend a right Angle at a given Point , . 88 If two Chords meet in a Point , Lines joining their extremities transversely meet on its ...
Side xii
... EXAMPLES ON CONICS . • 187 187 Loci , Focal Properties , Locus of Pole with respect to a series of Confocal Conics , If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan P'FO is constant ( see also p . 315 ) , 189 190 ...
... EXAMPLES ON CONICS . • 187 187 Loci , Focal Properties , Locus of Pole with respect to a series of Confocal Conics , If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan P'FO is constant ( see also p . 315 ) , 189 190 ...
Side 1
... example , that " the square of the hypotenuse is equal to the sum of the squares of the sides , " is a theorem con- cerning magnitude ; that " the three perpendiculars of a triangle meet in a point , " is a theorem concerning position ...
... example , that " the square of the hypotenuse is equal to the sum of the squares of the sides , " is a theorem con- cerning magnitude ; that " the three perpendiculars of a triangle meet in a point , " is a theorem concerning position ...
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes axis bisected centre chord of contact chords of intersection circumscribing common tangents conic having double conic section conic touching conjugate diameters constant ratio corresponding Cy² directrix double contact drawn Edition ellipse envelope equal find the equation find the locus fixed line fixed point focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve origin parabola parallel Pascal's theorem perpendicular plane point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree square substituting subtended theorem triangle vertex vertices vols
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