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 vi
... Axis of two Circles • : Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles • Properties of system of Circles having common radical Axis The limiting Points of the system · PAGE 98 99 99 100 ...
... Axis of two Circles • : Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles • Properties of system of Circles having common radical Axis The limiting Points of the system · PAGE 98 99 99 100 ...
Stranica xii
... Axis Circles having for Diameters Diagonals of complete Quadrilateral have common radical Axis 277 277 • Locus of Point where Tangent meeting two fixed Tangents is cut in a given ratio 277 Degree of Polar Reciprocal in general 279 ...
... Axis Circles having for Diameters Diagonals of complete Quadrilateral have common radical Axis 277 277 • Locus of Point where Tangent meeting two fixed Tangents is cut in a given ratio 277 Degree of Polar Reciprocal in general 279 ...
Stranica 6
... axes , it is frequently necessary to find its co- ordinates referred to another pair of axes . This operation is called the transformation of coordinates . We shall consider three cases separately ; first , we shall suppose the origin ...
... axes , it is frequently necessary to find its co- ordinates referred to another pair of axes . This operation is called the transformation of coordinates . We shall consider three cases separately ; first , we shall suppose the origin ...
Stranica 7
... axis of x , and angles a ' , B ' with the old axis of y ; and if the angle xOy between the old axes be w , we have obviously a + a ' = w , y S RQ M since XOx + X0y = xOy ; and in like manner ẞ + B ' = w . The formulæ of transformation ...
... axis of x , and angles a ' , B ' with the old axis of y ; and if the angle xOy between the old axes be w , we have obviously a + a ' = w , y S RQ M since XOx + X0y = xOy ; and in like manner ẞ + B ' = w . The formulæ of transformation ...
Stranica 8
... axes inclined to each other at an angle of 60 ° to the right lines which bisect the angles between the given axes . Ans . X2-27 Y2 + 12 = 0 . Ex . 4. Transform the same equation to rectangular axes , retaining the old axis Ans . 3X2 + ...
... axes inclined to each other at an angle of 60 ° to the right lines which bisect the angles between the given axes . Ans . X2-27 Y2 + 12 = 0 . Ex . 4. Transform the same equation to rectangular axes , retaining the old axis Ans . 3X2 + ...
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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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