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 77 találatból.
i. oldal
... CONIC SECTIONS : Moss . CONTAINING AN ACCOUNT OF SOME OF THE MOST IMPORTANT MODERN ALGEBRAIC AND GEOMETRIC METHODS . BY GEORGE SALMON , D.D. , D.C.L. , LL.D .. F.R.S. , REGIUS PROFESSOR OF DIVINITY IN THE UNIVERSITY OF DUBLIN . SIXTH ...
... CONIC SECTIONS : Moss . CONTAINING AN ACCOUNT OF SOME OF THE MOST IMPORTANT MODERN ALGEBRAIC AND GEOMETRIC METHODS . BY GEORGE SALMON , D.D. , D.C.L. , LL.D .. F.R.S. , REGIUS PROFESSOR OF DIVINITY IN THE UNIVERSITY OF DUBLIN . SIXTH ...
iv. oldal
... Section proved • Algebraic Expression for Anharmonic Ratio of a Pencil Homographic Systems of Lines • Expression of Equation of any Right Line in terms of three given ones Harmonic Properties of a Quadrilateral proved ( see also p . 317 ) ...
... Section proved • Algebraic Expression for Anharmonic Ratio of a Pencil Homographic Systems of Lines • Expression of Equation of any Right Line in terms of three given ones Harmonic Properties of a Quadrilateral proved ( see also p . 317 ) ...
ix. oldal
... SECTIONS · · Condition that Conics should be similar , and similarly placed Properties of similar Conics Condition ... Conic should lie on a Circle 229 Relation between three points whose osculating Circles meet Conic again in the same ...
... SECTIONS · · Condition that Conics should be similar , and similarly placed Properties of similar Conics Condition ... Conic should lie on a Circle 229 Relation between three points whose osculating Circles meet Conic again in the same ...
xiii. oldal
... Conic , lie on the same Conic , ( see also p . 343 ) 316 317 318 319 319 320 320 Projections of Properties ... Section is Ellipse , Hyperbola , or Parabola 327 Origin of these Names • 328 Every Parabola has a Tangent at an infinite Distance ...
... Conic , lie on the same Conic , ( see also p . 343 ) 316 317 318 319 319 320 320 Projections of Properties ... Section is Ellipse , Hyperbola , or Parabola 327 Origin of these Names • 328 Every Parabola has a Tangent at an infinite Distance ...
5. oldal
... section are obtained from those for internal section by changing the sign of the ratio ; that is , by changing m : + n into m : – n . In fact , in the case of internal section , PR and RQ are measured in the same direction , and their ...
... section are obtained from those for internal section by changing the sign of the ratio ; that is , by changing m : + n into m : – n . In fact , in the case of internal section , PR and RQ are measured in the same direction , and their ...
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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 bisectors centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal express find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points 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 pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree sides square substituting tangential equation theorem transform trilinear coordinates values vanish vertex vertices
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