The Quarterly Journal of Pure and Applied Mathematics, Volume 11J.W. Parker, 1871 - Mathematics |
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... Integrals . By William Walton . On the Theory of the Curve and Torse . By Prof. Cayley . Deformation of an Elastic Sphere Pressed between two Parallel Planes . By R. Hoppe Note on sin co and cos ∞ . By William Walton On the Summation ...
... Integrals . By William Walton . On the Theory of the Curve and Torse . By Prof. Cayley . Deformation of an Elastic Sphere Pressed between two Parallel Planes . By R. Hoppe Note on sin co and cos ∞ . By William Walton On the Summation ...
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... Integrals . By William Walton • 283 • 289 294 • On the Theory of the Curve and Torse . By Prof. Cayley . Deformation of an Elastic Sphere Pressed between two Parallel Planes . By R. Hoppe Note on sin ∞ and cos co . . By William Walton ...
... Integrals . By William Walton • 283 • 289 294 • On the Theory of the Curve and Torse . By Prof. Cayley . Deformation of an Elastic Sphere Pressed between two Parallel Planes . By R. Hoppe Note on sin ∞ and cos co . . By William Walton ...
Page 84
... integral equation is not or is symmetrical in regard to the two variables . In the former case , however , the functions X , Y are so related to each other , that the two can be by a linear transformation converted into like functions ...
... integral equation is not or is symmetrical in regard to the two variables . In the former case , however , the functions X , Y are so related to each other , that the two can be by a linear transformation converted into like functions ...
Page 85
... integral ; hence adding , we have or Ω = « Π ( 7 ) , 11 ( k ) = - Q , П = Ω , which gives between the constants of the integral equation ( * Xx , 1 ) 2 ( y , 1 ) 2 = 0 , a relation which must be satisfied when the series , closes at the ...
... integral ; hence adding , we have or Ω = « Π ( 7 ) , 11 ( k ) = - Q , П = Ω , which gives between the constants of the integral equation ( * Xx , 1 ) 2 ( y , 1 ) 2 = 0 , a relation which must be satisfied when the series , closes at the ...
Page 86
... integral equation is known to be –— dy = ± √ { ( a , b , c , d , eXy , 1 ) * } ' 1 ) ^ ] ~ √ { ( a , b , c , d , eXx , 1 ) * } — √ { ( a , b , c , d , exy , 1 ) * } ] [ Vila x - y 0 , = a ( x + y ) 2 + 4b ( x + y ) +60 , where is the ...
... integral equation is known to be –— dy = ± √ { ( a , b , c , d , eXy , 1 ) * } ' 1 ) ^ ] ~ √ { ( a , b , c , d , eXx , 1 ) * } — √ { ( a , b , c , d , exy , 1 ) * } ] [ Vila x - y 0 , = a ( x + y ) 2 + 4b ( x + y ) +60 , where is the ...
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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
Popular passages
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