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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... Result of substituting the Coordinates of any Point in the Equation of a Conic Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics , each having ...
... Result of substituting the Coordinates of any Point in the Equation of a Conic Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics , each having ...
Stranica 11
... result of the form xa , y = b , which , as was proved in the last chapter , represents a point . If the equations be of higher degree , they represent more points than one . For , eliminating y between the equations , we obtain an ...
... result of the form xa , y = b , which , as was proved in the last chapter , represents a point . If the equations be of higher degree , they represent more points than one . For , eliminating y between the equations , we obtain an ...
Stranica 24
... result as before . COR . The equation of the line joining the point x'y ' to the origin is y'xx'y . Ex . 1. Form the equations of the sides of a triangle , the coordinates of whose vertices are ( 2 , 1 ) , ( 3 , − 2 ) , ( — 4 , -1 ) ...
... result as before . COR . The equation of the line joining the point x'y ' to the origin is y'xx'y . Ex . 1. Form the equations of the sides of a triangle , the coordinates of whose vertices are ( 2 , 1 ) , ( 3 , − 2 ) , ( — 4 , -1 ) ...
Stranica 26
... result shows ( Art . 7 ) that this point divides externally , in the ratio a'b : ab ' , the line joining the two middle points ( a , b ) , ( a ' , b ) . 32. To find the equation to rectangular axes of a right line passing through a ...
... result shows ( Art . 7 ) that this point divides externally , in the ratio a'b : ab ' , the line joining the two middle points ( a , b ) , ( a ' , b ) . 32. To find the equation to rectangular axes of a right line passing through a ...
Stranica 28
... result may be obtained geometrically . From the given point draw QR parallel to the given line , and QS perpen- dicular . Then OK = x ' , and OT will be = x ' cosa . Again , since SQKB , and QK = y ' , hence RT = QS = y ' cosß ; x ...
... result may be obtained geometrically . From the given point draw QR parallel to the given line , and QS perpen- dicular . Then OK = x ' , and OT will be = x ' cosa . Again , since SQKB , and QK = y ' , hence RT = QS = y ' cosß ; x ...
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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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