A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
Dentro del libro
Resultados 1-5 de 67
Página 1
... called the coordinates of the 3 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 . B The fixed lines XX ' and YY ' are termed ...
... called the coordinates of the 3 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 . B The fixed lines XX ' and YY ' are termed ...
Página 2
... called the origin . The axes are said to be rectangular or oblique , according as the angle at which they intersect is a right angle or oblique . It will readily be seen that the coordinates of the point M on the preceding figure are x ...
... called the origin . The axes are said to be rectangular or oblique , according as the angle at which they intersect is a right angle or oblique . It will readily be seen that the coordinates of the point M on the preceding figure are x ...
Página 6
... called the transformation of coordinates . We shall consider three cases separately ; first , we shall suppose the origin changed , but the new axes parallel to the old ; secondly , we shall suppose the directions of the axes changed ...
... called the transformation of coordinates . We shall consider three cases separately ; first , we shall suppose the origin changed , but the new axes parallel to the old ; secondly , we shall suppose the directions of the axes changed ...
Página 9
... called the radius vector ; the fixed point is called the pole ; and this method is called the method of polar co- ordinates . 0 3 It is very easy , being given the x and y coordinates of a point , to find its polar ones , or vice versa ...
... called the radius vector ; the fixed point is called the pole ; and this method is called the method of polar co- ordinates . 0 3 It is very easy , being given the x and y coordinates of a point , to find its polar ones , or vice versa ...
Página 50
... called the centre of mean position of the given points . 51. If the equation of any line involve the coordinates of a certain point a'y ' in the first degree , thus , ( Ax ' + By + C ) x + ( A'x ' + B'y ' + C ' ) y + ( A ′′ x ' + B'y ...
... called the centre of mean position of the given points . 51. If the equation of any line involve the coordinates of a certain point a'y ' in the first degree , thus , ( Ax ' + By + C ) x + ( A'x ' + B'y ' + C ' ) y + ( A ′′ x ' + B'y ...
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Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors by² 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 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 polar equation pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices
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