The Quarterly Journal of Pure and Applied Mathematics, Volum 11J.W. Parker, 1871 |
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Side 84
... original integral equation being hereby converted into a symmetrical equation ( Xx , 1 ) ( y ,, 1 ) 2 = 0 between x and y1 , so that in one point of view the unsymmetrical case is not really more general than the symmetrical one . It is ...
... original integral equation being hereby converted into a symmetrical equation ( Xx , 1 ) ( y ,, 1 ) 2 = 0 between x and y1 , so that in one point of view the unsymmetrical case is not really more general than the symmetrical one . It is ...
Side 85
... original equa- tion ( * Xx , 1 ) * ( y , 1 ) 2 = 0 , and equally with it represent the relation betwen the parameters x , y of the two points A , B ; the constant of integration & is of course completely determined in terms of the ...
... original equa- tion ( * Xx , 1 ) * ( y , 1 ) 2 = 0 , and equally with it represent the relation betwen the parameters x , y of the two points A , B ; the constant of integration & is of course completely determined in terms of the ...
Side 87
... 903 ) - + ху ( -2ae8bd + 18c " — 1802 ) - + ( x + y ) ( -4be + 12cd — 12d0 ) . ...... . + 4d2 - 6e0 = 0 . - Comparing this with the original integral equation V = 0 and the ( 2 , 2 ) Correspondence of Points on a Conic . 87.
... 903 ) - + ху ( -2ae8bd + 18c " — 1802 ) - + ( x + y ) ( -4be + 12cd — 12d0 ) . ...... . + 4d2 - 6e0 = 0 . - Comparing this with the original integral equation V = 0 and the ( 2 , 2 ) Correspondence of Points on a Conic . 87.
Side 88
Comparing this with the original integral equation V = 0 , and the form of differential equation deduced therefrom , we ought to have identically [ ( 4b3 — 6a0 ) x2 + ( − 2ad + 6bc - 6b0 ) x + ( - ae + 9c2 - 18c0 + 90 ° ) ] × [ ( − ae ...
Comparing this with the original integral equation V = 0 , and the form of differential equation deduced therefrom , we ought to have identically [ ( 4b3 — 6a0 ) x2 + ( − 2ad + 6bc - 6b0 ) x + ( - ae + 9c2 - 18c0 + 90 ° ) ] × [ ( − ae ...
Side 90
... ) + 2b'c ' ( ab " + a " b ) + 2c'a ' ( -bb " ) + 2ab ' ( be " + b ′′ c ) + 02 ( 2 ( a'c ' — b'2 ) —ac " + 2bb " — a ′′ c ) + 0 = 0 . If the original matrix be symmetrical = a , h 90 Porism of the In - and - Circumscribed Polygon .
... ) + 2b'c ' ( ab " + a " b ) + 2c'a ' ( -bb " ) + 2ab ' ( be " + b ′′ c ) + 02 ( 2 ( a'c ' — b'2 ) —ac " + 2bb " — a ′′ c ) + 0 = 0 . If the original matrix be symmetrical = a , h 90 Porism of the In - and - Circumscribed Polygon .
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The Quarterly Journal of Pure and Applied Mathematics, Volum 6 James Joseph Sylvester,James Whitbread Lee Glaisher Uten tilgangsbegrensning - 1864 |
Vanlige uttrykk og setninger
a+b+c action af-g angle angular velocities axes body Cayley centre circle coefficient columns common tangent concyclic cone confocal conic conicoids conjugate coordinates corresponding cubic curvature cusps denote differential dt dt elements ellipsoid envelope equal equation Euler's equations evectant evolute expression fixed point formulæ given curve greatest value Hence inflexion instantaneous axis integral intersection line IJ log mv magic square nodal normal obtain pairs parallel curve perpendicular points of contact pole quadric quartic surface radius reciprocal respectively shewn solenoid solution stationary tangent suppose tangent planes theorem torse triads unlike signs vertex w₁ whence WILLIAM WALTON zero square
Populære avsnitt
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