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 18
... position of the line will vary with the signs of the quantities a and b For example , the equation 2 + 2 = 1 , which cuts off positive intercepts on both axes , re- a b presents the line MN on the preceding figure ; x y - a off a ...
... position of the line will vary with the signs of the quantities a and b For example , the equation 2 + 2 = 1 , which cuts off positive intercepts on both axes , re- a b presents the line MN on the preceding figure ; x y - a off a ...
Stranica 19
... position of the following lines , and find the intercepts they make on the axes : 2x - 3y = 7 ; 3x + 4y + 9 = 0 ; 3x ... position NM ' , a is between 90 ° and 180 ° , and the coefficient of x is negative . For the position M'N ' , a is ...
... position of the following lines , and find the intercepts they make on the axes : 2x - 3y = 7 ; 3x + 4y + 9 = 0 ; 3x ... position NM ' , a is between 90 ° and 180 ° , and the coefficient of x is negative . For the position M'N ' , a is ...
Stranica 25
... position of a point was deter- mined , being given two equations between its coordinates . The reader will now perceive that each equation represents a locus on which the point must lie , and that the point is the intersection of the ...
... position of a point was deter- mined , being given two equations between its coordinates . The reader will now perceive that each equation represents a locus on which the point must lie , and that the point is the intersection of the ...
Stranica 38
... position of any point or right line , we proceed to give some further examples of the application of this method to the solution of geometrical problems . The learner should diligently exercise himself in working out such questions ...
... position of any point or right line , we proceed to give some further examples of the application of this method to the solution of geometrical problems . The learner should diligently exercise himself in working out such questions ...
Stranica 42
... position . We take the fixed lines LM , LN for axes . Let the coordinates of P , Q , O , C be respectively x'y ' , x " y " , x " " y " " , aß ; and the condition which we want to express is that if we join CP , CQ , and then join the ...
... position . We take the fixed lines LM , LN for axes . Let the coordinates of P , Q , O , C be respectively x'y ' , x " y " , x " " y " " , aß ; and the condition which we want to express is that if we join CP , CQ , and then join the ...
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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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