A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
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Side 11
... roots a1 , a2 , & c . , and , therefore , mn points represented by the two equations . xy = 2 ? The roots of this Ex . 1. What points are represented by the two equations x2 + y2 = 5 , Eliminating y between the equations , we get x4 5x2 ...
... roots a1 , a2 , & c . , and , therefore , mn points represented by the two equations . xy = 2 ? The roots of this Ex . 1. What points are represented by the two equations x2 + y2 = 5 , Eliminating y between the equations , we get x4 5x2 ...
Side 19
... angle which the perpendicular from the origin on the line ( Ax + By + C = 0 ) makes with the axis of x , and that C √ ( A2 + B2 ) is the length of this perpendicular . The square root in these values is , of course THE RIGHT LINE . 19.
... angle which the perpendicular from the origin on the line ( Ax + By + C = 0 ) makes with the axis of x , and that C √ ( A2 + B2 ) is the length of this perpendicular . The square root in these values is , of course THE RIGHT LINE . 19.
Side 20
... root in these values is , of course , susceptible of a double sign ; since the equation may be reduced to either of the forms x cosa + y cosẞ - p = 0 , x cos ( a + 180 ° ) + y cos ( ẞ + 180 ° ) + p = 0 . * 26 . To reduce the equation Ax ...
... root in these values is , of course , susceptible of a double sign ; since the equation may be reduced to either of the forms x cosa + y cosẞ - p = 0 , x cos ( a + 180 ° ) + y cos ( ẞ + 180 ° ) + p = 0 . * 26 . To reduce the equation Ax ...
Side 62
... roots of this equation , then it is re- solvable into the factors ( -a ) ( - ) - c ) & c . - 0 , ( α and the original equation is therefore resolvable into the factors ( x - ay ) ( x - by ) ( x − cy ) & c . = 0 . - - It accordingly ...
... roots of this equation , then it is re- solvable into the factors ( -a ) ( - ) - c ) & c . - 0 , ( α and the original equation is therefore resolvable into the factors ( x - ay ) ( x - by ) ( x − cy ) & c . = 0 . - - It accordingly ...
Side 63
... roots of the quadratic 2 + q = 0 . It is proved , in like manner , that the equation - - ( x − a ) " − p ( x − a ) n - 1 ( y − b ) + q ( x − a ) n - 2 ( y - b ) 2 . . . + t ( y −b ) " = 0 denotes n right lines passing through the ...
... roots of the quadratic 2 + q = 0 . It is proved , in like manner , that the equation - - ( x − a ) " − p ( x − a ) n - 1 ( y − b ) + q ( x − a ) n - 2 ( y - b ) 2 . . . + t ( y −b ) " = 0 denotes n right lines passing through the ...
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes bisected bisector chord of contact chords of intersection circumscribing common tangents conic having double conic section conjugate diameters constant ratio corresponding Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focal focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve middle points origin pair parabola parallel pass perpendicular point of contact point x'y points at infinity points of intersection polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle represent right line second degree sides square substituting tangents theorem triangle values vertex vertices
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