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 страници |
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Резултати 1 - 5 от 72.
Страница v
... second Degree should represent Right Lines ( see also pp . 144 , 148 , 150 , 255 ) Number of conditions that higher Equations may represent Right Lines Number of terms in Equation of nth Degree CHAPTER VI . THE CIRCLE . Equation of ...
... second Degree should represent Right Lines ( see also pp . 144 , 148 , 150 , 255 ) Number of conditions that higher Equations may represent Right Lines Number of terms in Equation of nth Degree CHAPTER VI . THE CIRCLE . Equation of ...
Страница vi
... SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree 131 132 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
... SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree 131 132 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
Страница 9
... another , x2 + y2 must = X2 + Y2 , since both express the square of the distance of a ... degree of any equation between the co - ordinates is not altered by ... second should increase it , contrary to what has just been proved . POLAR CO ...
... another , x2 + y2 must = X2 + Y2 , since both express the square of the distance of a ... degree of any equation between the co - ordinates is not altered by ... second should increase it , contrary to what has just been proved . POLAR CO ...
Страница 11
... degree ( see Ex . 5 , p . 4 ) , they denote a single point . For solving the ... degree , they represent more points than one . For , eliminating y between the ... second equation , we obtain the corresponding values of y , y = +2 , y = 2 ...
... degree ( see Ex . 5 , p . 4 ) , they denote a single point . For solving the ... degree , they represent more points than one . For , eliminating y between the ... second equation , we obtain the corresponding values of y , y = +2 , y = 2 ...
Страница 14
... second degree , because it contains the term xy . If this term were absent , it would be of the first degree . A curve is said to be of the nth degree when the equation which represents it is of that degree . We commence with the ...
... second degree , because it contains the term xy . If this term were absent , it would be of the first degree . A curve is said to be of the nth degree when the equation which represents it is of that degree . We commence with the ...
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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