A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 páginas |
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Página 2
... satisfied by one point , it is necessary to pay attention , not only to the magnitudes , but also to the signs of ... satisfy the equations = a , y = b . It is possible , however , to distinguish algebraically between the lines OM , OM ...
... satisfied by one point , it is necessary to pay attention , not only to the magnitudes , but also to the signs of ... satisfy the equations = a , y = b . It is possible , however , to distinguish algebraically between the lines OM , OM ...
Página 8
... satisfy the relation x2 + y2 - 4x - 6y = 18 : -- what will this become if the origin be transformed to the point ( 2 , 3 ) ? - - Ans . X2 + Y2 = 31 . Ex . 2. The co - ordinates of a point to one set of rectangular axes satisfy the ...
... satisfy the relation x2 + y2 - 4x - 6y = 18 : -- what will this become if the origin be transformed to the point ( 2 , 3 ) ? - - Ans . X2 + Y2 = 31 . Ex . 2. The co - ordinates of a point to one set of rectangular axes satisfy the ...
Página 11
... satisfy both the given equations , and denote a point which is represented by these equations . So , in like manner , is the point whose co - ordinates are x = a ,, y = B , & c . = Ex . 1. What point is denoted by the equations 3x + 5y ...
... satisfy both the given equations , and denote a point which is represented by these equations . So , in like manner , is the point whose co - ordinates are x = a ,, y = B , & c . = Ex . 1. What point is denoted by the equations 3x + 5y ...
Página 12
... satisfy the given equation . And yet the co - ordinates of any point taken at random will not satisfy it . The ... satisfied by the co - ordinates of any point on the circle whose centre is the point ( 2 , 3 ) , and whose radius is ...
... satisfy the given equation . And yet the co - ordinates of any point taken at random will not satisfy it . The ... satisfied by the co - ordinates of any point on the circle whose centre is the point ( 2 , 3 ) , and whose radius is ...
Página 13
... satisfied for each of the points ( p , q , r , & c . ) , whose x is the assumed value , and whose y is that found ... satisfy the equation . So again , if we assume x = a = a " or x = a " , & c . Now , if x be supposed to take ...
... satisfied for each of the points ( p , q , r , & c . ) , whose x is the assumed value , and whose y is that found ... satisfy the equation . So again , if we assume x = a = a " or x = a " , & c . Now , if x be supposed to take ...
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Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length 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 rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices