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 |
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1 - 5 találat összesen 94 találatból.
iii. oldal
... Axis through the Origin in any Position Meaning of the Constants in Equation of a Right Line Equation of a Right Line in terms of its Intercepts on the Axes CHAPTER II . THE RIGHT LINE , 11 12 · 13 14 15 16 17 18 • · • • PERLE22777 19 ...
... Axis through the Origin in any Position Meaning of the Constants in Equation of a Right Line Equation of a Right Line in terms of its Intercepts on the Axes CHAPTER II . THE RIGHT LINE , 11 12 · 13 14 15 16 17 18 • · • • PERLE22777 19 ...
vi. oldal
... Axis of Similitude Locus of centre of Circle cutting three given Circles at equal Angles All Circles cutting three Circles at the same Angle have a common Axis of Similitude • To describe a Circle touching three given Circles ( see also ...
... Axis of Similitude Locus of centre of Circle cutting three given Circles at equal Angles All Circles cutting three Circles at the same Angle have a common Axis of Similitude • To describe a Circle touching three given Circles ( see also ...
xii. oldal
... Axis Circles having for Diameters Diagonals of complete Quadrilateral have common • 276 • 277 277 277 277 • Locus of ... Axes and Centres of Similitude of Conics having double contact with a given one 282 · Polar of one Circle with ...
... Axis Circles having for Diameters Diagonals of complete Quadrilateral have common • 276 • 277 277 277 277 • Locus of ... Axes and Centres of Similitude of Conics having double contact with a given one 282 · Polar of one Circle with ...
6. oldal
... 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 ...
7. oldal
... 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 ' = ∞ , S R Q M since XOx + X0y = xOy ; and in like manner ß + ß ' = 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 ' = ∞ , S R Q M since XOx + X0y = xOy ; and in like manner ß + ß ' = w . The formulæ of transformation ...
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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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