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 viii
... passes through a Fixed Point if Constants in its Equation be con- nected by a Linear Relation , 49 Loci solved by ... passing through two Points , · Harmonic Properties of a Quadrilateral proved ( see also p . 302 ) , 57 ་ ་ ༅ ལྔ་ 54 55 ...
... passes through a Fixed Point if Constants in its Equation be con- nected by a Linear Relation , 49 Loci solved by ... passing through two Points , · Harmonic Properties of a Quadrilateral proved ( see also p . 302 ) , 57 ་ ་ ༅ ལྔ་ 54 55 ...
Side xii
... passes through Focus ( see also pp . 195 , 249 , 261 ) , Polar Equation of Parabola , 187 187 CHAPTER XIII . EXAMPLES ON CONICS ... pass through a fixed Point O , then tan PFO . tan PFO is constant ( see also p . 315 ) , .. 191 Locus of ...
... passes through Focus ( see also pp . 195 , 249 , 261 ) , Polar Equation of Parabola , 187 187 CHAPTER XIII . EXAMPLES ON CONICS ... pass through a fixed Point O , then tan PFO . tan PFO is constant ( see also p . 315 ) , .. 191 Locus of ...
Side xiii
... pass through the same Point , 218 Given two Points of a Conic having double contact with a third , its Chord of Con- tact passes through a fixed Point , If three Conics have each double contact with a fourth , their Chords of ...
... pass through the same Point , 218 Given two Points of a Conic having double contact with a third , its Chord of Con- tact passes through a fixed Point , If three Conics have each double contact with a fourth , their Chords of ...
Side xiv
... of generating Conics , of Newton's Method of generating Conics , To inscribe a Polygon in a Conic whose sides pass through fixed Points , 280 281 281 282 282 PAGE . Proof of Pascal's Theorem , MacLaurin's Theorem deduced xiv CONTENTS .
... of generating Conics , of Newton's Method of generating Conics , To inscribe a Polygon in a Conic whose sides pass through fixed Points , 280 281 281 282 282 PAGE . Proof of Pascal's Theorem , MacLaurin's Theorem deduced xiv CONTENTS .
Side xv
... pass to Infinity , Conic may be projected so as to become a Circle , and so that any given Line · Pascal's Theorem proved by Projection , 308 309 . Projection of Properties concerning Foci , · of Properties concerning Right Angles ...
... pass to Infinity , Conic may be projected so as to become a Circle , and so that any given Line · Pascal's Theorem proved by Projection , 308 309 . Projection of Properties concerning Foci , · of Properties concerning Right Angles ...
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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 bisected bisector chord of contact chords of intersection circumscribing common tangents conic having double conic section conjugate diameters constant ratio corresponding Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focal 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 middle points origin pair parabola parallel pass perpendicular point of contact point x'y points at infinity points of intersection polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle represent right line second degree sides square substituting tangents theorem triangle values vertex vertices
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