The Quarterly Journal of Pure and Applied Mathematics, Volume 11J.W. Parker, 1871 - Mathematics |
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Page 30
... contain 2 of each of the 30 letters a , b , c , ... 8 , 0 . Let each of these letters and pairs such as a of a'a ... containing a , and the 2 under ub1b2 containing b by the 2 triads cdo and 80p . Thus the 2 columns of 20 triads below pa ...
... contain 2 of each of the 30 letters a , b , c , ... 8 , 0 . Let each of these letters and pairs such as a of a'a ... containing a , and the 2 under ub1b2 containing b by the 2 triads cdo and 80p . Thus the 2 columns of 20 triads below pa ...
Page 31
... containing abcd80p will be determined in the same manner . Thus we are able to write down all the columns which furnish the solution of the problem of 63 girls who are to be so arranged as to walk for 31 successive days in groups of 3 ...
... containing abcd80p will be determined in the same manner . Thus we are able to write down all the columns which furnish the solution of the problem of 63 girls who are to be so arranged as to walk for 31 successive days in groups of 3 ...
Page 64
... contain in common a factor of N. That is b , b , and N must have no common measure . In the same way it can be proved that a1 = and N can have no common measure . α , Next , suppose that x , and x , y , and Yz are different . Assume a ...
... contain in common a factor of N. That is b , b , and N must have no common measure . In the same way it can be proved that a1 = and N can have no common measure . α , Next , suppose that x , and x , y , and Yz are different . Assume a ...
Page 84
... contains really one more constant than the differential equation ( this is most readily seen in the symmetrical case , the differential equation depends only on the ratio of five constants a , b , c , d , e , whereas the in- tegral ...
... contains really one more constant than the differential equation ( this is most readily seen in the symmetrical case , the differential equation depends only on the ratio of five constants a , b , c , d , e , whereas the in- tegral ...
Page 100
... contains the factor 2 , and that the form thereof is 2 = 0 ) . Assuming that this is so , and observing that V , the oscu- lant or discriminant of the functions U , V , is of the form ▽ = ( a , ... ) " ( n + 2m − 3 ) ( b , ... ) m ( m ...
... contains the factor 2 , and that the form thereof is 2 = 0 ) . Assuming that this is so , and observing that V , the oscu- lant or discriminant of the functions U , V , is of the form ▽ = ( a , ... ) " ( n + 2m − 3 ) ( b , ... ) m ( m ...
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Common terms and phrases
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
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