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 xiv
... reduces to two coincident Lines · 361 • Equation of Circle cutting three Circles orthogonally 361 To form the equation of the sides of self - conjugate Triangle common to two Conics 362 PAGE Area of common conjugate Triangle of two ...
... reduces to two coincident Lines · 361 • Equation of Circle cutting three Circles orthogonally 361 To form the equation of the sides of self - conjugate Triangle common to two Conics 362 PAGE Area of common conjugate Triangle of two ...
Stranica 17
... reduce it , as in the last Article , to the form y = mx + b , and we find that A B = sin a sin8 " = or if the axes be rectangular tana ; and that length of the intercept made by the line on the axis of C is the B y . COR . The lines y ...
... reduce it , as in the last Article , to the form y = mx + b , and we find that A B = sin a sin8 " = or if the axes be rectangular tana ; and that length of the intercept made by the line on the axis of C is the B y . COR . The lines y ...
Stranica 20
... reduce the equation Ax + By + C = 0 ( referred 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 , RB ...
... reduce the equation Ax + By + C = 0 ( referred 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 , RB ...
Stranica 28
... . If the equation of the line had been given in the form Ax + By + C = 0 , we have only ( Art . 24 ) to reduce it to the form x cos a + y cos B - p = 0 , · and the length of the perpendicular from any point x'y 28 THE RIGHT LINE .
... . If the equation of the line had been given in the form Ax + By + C = 0 , we have only ( Art . 24 ) to reduce it to the form x cos a + y cos B - p = 0 , · and the length of the perpendicular from any point x'y 28 THE RIGHT LINE .
Stranica 30
... Reduce the equations of the bisectors of the angles between two lines to the form x cos a + y sin a = p . Ans . x cos ( ( a + ẞ ) + 90 ° } + y sin { } ( a + ẞ ) + 90 ° } = x cos ( a + ẞ ) + y sin } ( a + ẞ ) = p - p ' 2 sin ( a - ẞ ) ...
... Reduce the equations of the bisectors of the angles between two lines to the form x cos a + y sin a = p . Ans . x cos ( ( a + ẞ ) + 90 ° } + y sin { } ( a + ẞ ) + 90 ° } = x cos ( a + ẞ ) + y sin } ( a + ẞ ) = p - p ' 2 sin ( a - ẞ ) ...
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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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