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
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Página xiv
... reduces to two coincident Lines Equation of Circle cutting three Circles orthogonally To form the equation of the sides of self - conjugate Triangle common to two • 361 • 361 · 361 · Conics 362 · Area of common conjugate Triangle of two ...
... reduces to two coincident Lines Equation of Circle cutting three Circles orthogonally To form the equation of the sides of self - conjugate Triangle common to two • 361 • 361 · 361 · Conics 362 · Area of common conjugate Triangle of two ...
Página 17
... reduced to the form y = mx + b , since it is equivalent to A B х - C Bi this equation therefore always represents a ... reduce it , as in the last Article , to the form y = mx + b , and we find that - A B = sin a sin B ' or if the axes ...
... reduced to the form y = mx + b , since it is equivalent to A B х - C Bi this equation therefore always represents a ... reduce it , as in the last Article , to the form y = mx + b , and we find that - A B = sin a sin B ' or if the axes ...
Página 18
... NM ' ; 818 y = 1 represents M'N ' . b By dividing by the constant term , any equation of the first degree can evidently be reduced to some one of these four forms . Ex . 1. Examine the position of the following lines 18 THE RIGHT LINE .
... NM ' ; 818 y = 1 represents M'N ' . b By dividing by the constant term , any equation of the first degree can evidently be reduced to some one of these four forms . Ex . 1. Examine the position of the following lines 18 THE RIGHT LINE .
Página 20
... reduce the equation Ax + By + C = 0 ( re , erred to oblique coordinates ) to the form x cosa + y cosẞ = p . Let us suppose that the given equation when multiplied by a certain factor R is reduced to the required form , then RA = cosa ...
... reduce the equation Ax + By + C = 0 ( re , erred to oblique coordinates ) to the form x cosa + y cosẞ = p . Let us suppose that the given equation when multiplied by a certain factor R is reduced to the required form , then RA = cosa ...
Página 21
... reduced to either of the forms xcos a + y cosẞ - p = 0 , x cos ( a + 180 ° ) + y cos ( B + 180 ° ) + p = 0 . 25. To find the angle between two lines whose equations with regard to rectangular axes are given . The angle between the lines ...
... reduced to either of the forms xcos a + y cosẞ - p = 0 , x cos ( a + 180 ° ) + y cos ( B + 180 ° ) + p = 0 . 25. To find the angle between two lines whose equations with regard to rectangular axes are given . The angle between the lines ...
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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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