A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica vi
... equal Angles All Circles cutting three Circles at the same Angle have a common Axis of Similitude • To describe a Circle touching three given Circles ( see also pp . 115 , 135 , 291 ) Prof. Casey's Solution of this Problem 108 · 109 ...
... equal Angles All Circles cutting three Circles at the same Angle have a common Axis of Similitude • To describe a Circle touching three given Circles ( see also pp . 115 , 135 , 291 ) Prof. Casey's Solution of this Problem 108 · 109 ...
Stranica viii
... equal Lines joining two fixed to variable Point make constant Intercept on Asymptote 192 Constant area cut off by Tangent • Mechanical method of constructing Ellipse and Hyperbola CHAPTER XII . THE PARABOLA . Transformation of the ...
... equal Lines joining two fixed to variable Point make constant Intercept on Asymptote 192 Constant area cut off by Tangent • Mechanical method of constructing Ellipse and Hyperbola CHAPTER XII . THE PARABOLA . Transformation of the ...
Stranica ix
... equal difference of Reciprocals . Examples on Parabola · Three Perpendiculars of Triangle formed by three Tangents intersect on Directrix ( see also pp . 247 , 275 , 290 , 342 ) 211 · 212 212 212 Area of Triangle formed by three ...
... equal difference of Reciprocals . Examples on Parabola · Three Perpendiculars of Triangle formed by three Tangents intersect on Directrix ( see also pp . 247 , 275 , 290 , 342 ) 211 · 212 212 212 Area of Triangle formed by three ...
Stranica xii
... equal Circles have same Parameter 285 286 · • Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 287 Tangential Equation of Reciprocal Conic Trilinear Equation given Focus and either three Points or ...
... equal Circles have same Parameter 285 286 · • Relation between Perpendiculars on Tangent from Vertices of circumscribing Quadrilateral 287 Tangential Equation of Reciprocal Conic Trilinear Equation given Focus and either three Points or ...
Stranica 1
... are called the coordinates of the point P. PM is often called the ordinate of the point P ; while PN , which is equal to OM the intercept cut off by the ordinate , is called the abscissa . 3 y B The fixed lines XX ' and YY ' are termed.
... are called the coordinates of the point P. PM is often called the ordinate of the point P ; while PN , which is equal to OM the intercept cut off by the ordinate , is called the abscissa . 3 y B The fixed lines XX ' and YY ' are termed.
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ 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 represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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