A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 oldal |
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1 - 5 találat összesen 33 találatból.
iv. oldal
... Sides , lie in a Right Line Equation of Line at infinity Cartesian Equations a case of Trilinear Tangential Coordinates Reciprocal Theorems 83R23 63 64 65 65 66 CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
... Sides , lie in a Right Line Equation of Line at infinity Cartesian Equations a case of Trilinear Tangential Coordinates Reciprocal Theorems 83R23 63 64 65 65 66 CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
xi. oldal
... Perpendiculars of circum- 275 scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four Tangents ( see also p . 277 ) 275 275 . CHAPTER XV . RECIPROCAL POLARS . Principle of Duality Locus CONTENTS . xi.
... Perpendiculars of circum- 275 scribing Triangle ( see also pp . 212 , 247 , 290 , 342 ) Locus of Focus given four Tangents ( see also p . 277 ) 275 275 . CHAPTER XV . RECIPROCAL POLARS . Principle of Duality Locus CONTENTS . xi.
xii. oldal
... Reciprocal in general • • Pascal's Theorem and Brianchon's mutually reciprocal Radical Axes and Centres of Similitude of Conics having double contact with a given one · Polar of one Circle with regard to another · Reciprocation of ...
... Reciprocal in general • • Pascal's Theorem and Brianchon's mutually reciprocal Radical Axes and Centres of Similitude of Conics having double contact with a given one · Polar of one Circle with regard to another · Reciprocation of ...
xiv. oldal
... reciprocal of two Conics having double contact Condition that they should touch each other 352 352 • 353 354 356 · 356 • To draw a Conic having double contact with a given one , and touching three other such Conics Four Conics having ...
... reciprocal of two Conics having double contact Condition that they should touch each other 352 352 • 353 354 356 · 356 • To draw a Conic having double contact with a given one , and touching three other such Conics Four Conics having ...
66. oldal
... reciprocal theorems . - - Ex . Interpret in tangential coordinates the equations used in Art . 60 , Ex . 2 . Let a , ẞ , y denote the points A , B , C ; mẞ – ny , ny — la , la - mß , the points L , M , N ; then mß + ny − la , ny + la ...
... reciprocal theorems . - - Ex . Interpret in tangential coordinates the equations used in Art . 60 , Ex . 2 . Let a , ẞ , y denote the points A , B , C ; mẞ – ny , ny — la , la - mß , the points L , M , N ; then mß + ny − la , ny + la ...
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Más kiadások - Összes megtekintése
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2016 |
Gyakori szavak és kifejezések
anharmonic ratio asymptotes ax² axes bisected bisector centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conic touching conjugate diameters corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point harmonic Hence hyperbola infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices µß
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