A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 oldal |
Részletek a könyvből
1 - 5 találat összesen 56 találatból.
x. oldal
... 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 233 • 234 234 235 236 237 238 238 239 · · 239 239 240 241 • 241 241 ...
... 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 233 • 234 234 235 236 237 238 238 239 · · 239 239 240 241 • 241 241 ...
11. oldal
... 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 ...
24. oldal
... result as before . COR . The equation of the line joining the point x'y ' to the origin is y'x = x'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'x = x'y . Ex . 1. Form the equations of the sides of a triangle , the coordinates of whose vertices are ( 2 , 1 ) , ( 3 , − 2 ) , ( — 4 , − 1 ) ...
26. oldal
... 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 ...
28. oldal
... 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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Más kiadások - Összes megtekintése
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2016 |
Gyakori szavak és kifejezések
anharmonic ratio asymptotes ax² axes bisected bisectors centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal express find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article 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 pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree sides square substituting tangential equation theorem transform trilinear coordinates values vanish vertex vertices
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