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 |
Inni boken
Resultat 1-5 av 100
Side 8
... values for x and y given in the last article . Ex . 1. The co - ordinates of a point satisfy the relation xa + y2 what will this become if the origin be transformed to the point ( 2 , 3 ) ? - 4x by 18 ; = Ans . X2 Y2 = 31 . Ex . 2. The ...
... values for x and y given in the last article . Ex . 1. The co - ordinates of a point satisfy the relation xa + y2 what will this become if the origin be transformed to the point ( 2 , 3 ) ? - 4x by 18 ; = Ans . X2 Y2 = 31 . Ex . 2. The ...
Side 11
... values ( a1 ) for a in the original equations , we get two equations in y , which must have a common root ( since ... values of x are of y , x = + 1 , x = − 1 , x = + 2 , x = − 2 . Substituting any of these in the second equation , we ...
... values ( a1 ) for a in the original equations , we get two equations in y , which must have a common root ( since ... values of x are of y , x = + 1 , x = − 1 , x = + 2 , x = − 2 . Substituting any of these in the second equation , we ...
Side 12
... value of y , x = a , y = b ' , we should proceed x Y K P ' P M X as before , and we should find a point P ' still ... values of y answering to this particular value of æ , and , consequently , the equation will be satisfied for each ...
... value of y , x = a , y = b ' , we should proceed x Y K P ' P M X as before , and we should find a point P ' still ... values of y answering to this particular value of æ , and , consequently , the equation will be satisfied for each ...
Side 13
... values , the assem- blage of points found as above will form a locus , every point of which satisfies the con- ditions of the equation , and which is , therefore , its geometrical signifi- cation . We see then that every equation we can ...
... values , the assem- blage of points found as above will form a locus , every point of which satisfies the con- ditions of the equation , and which is , therefore , its geometrical signifi- cation . We see then that every equation we can ...
Side 19
... of the 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 .
... of the 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 .
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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 centre of similitude chord of contact chords of intersection circumscribing coefficients common tangents conic section conjugate diameters constant ratio Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focus four points given conic given points Hence hyperbola imaginary intercept joining the points last Article line at infinity line joining line meets meet the curve middle points mẞ ordinate 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 angles right line second degree sides square substituting tangents theorem tion triangle values vertex vertices