The Quarterly Journal of Pure and Applied Mathematics, Volume 11J.W. Parker, 1871 - Mathematics |
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Page 26
... triads pa , a , pb ,, ... pJ , 9 % , 19 27 7 different sets of 4 triads composed of a , a , ... g , g , in such a manner that no 2 appear together in more than one triad . Let a be the general representative of a , and a , and so on ...
... triads pa , a , pb ,, ... pJ , 9 % , 19 27 7 different sets of 4 triads composed of a , a , ... g , g , in such a manner that no 2 appear together in more than one triad . Let a be the general representative of a , and a , and so on ...
Page 27
... triad bdf , we may regard it as representing the 4 triads bd , f ,, ს , d , f , bd , f , bd , f . If we write these subscripts in the 4 vertical columns in which bdf appears , and observe , that as 5 , occurs in b1d1f , of the 1st ...
... triad bdf , we may regard it as representing the 4 triads bd , f ,, ს , d , f , bd , f , bd , f . If we write these subscripts in the 4 vertical columns in which bdf appears , and observe , that as 5 , occurs in b1d1f , of the 1st ...
Page 28
The triads of the form ade stand thus ade , ade , ade , ade , the subscripts of which may be thus written ade , ade , ade , ade thus we have paa , phb2 pcc , pdd , pee , pf f2 PIJ ¦ bdf cdg a de abc abc abc abc beg ce sa f Iz a f g 2 ...
The triads of the form ade stand thus ade , ade , ade , ade , the subscripts of which may be thus written ade , ade , ade , ade thus we have paa , phb2 pcc , pdd , pee , pf f2 PIJ ¦ bdf cdg a de abc abc abc abc beg ce sa f Iz a f g 2 ...
Page 29
then the 35 triads expand into 4 × 35 or 140 triads of the 30 letters 2 p'p2 , a‚'a‚3 ... g , g . Placing a 31st letter q before each of the 15 correlative pairs , we have 155 or 5 × 31 triads of the 31 letters , and if the 31 letters ...
then the 35 triads expand into 4 × 35 or 140 triads of the 30 letters 2 p'p2 , a‚'a‚3 ... g , g . Placing a 31st letter q before each of the 15 correlative pairs , we have 155 or 5 × 31 triads of the 31 letters , and if the 31 letters ...
Page 30
In each of the above 35 triads of the symbols aα ...... ß ,, no two letters occur together twice . If we select 5 of these triads so as to include each of the 15 symbols such as 5 - observing that a triad aa , ß , is composed of 2 of ...
In each of the above 35 triads of the symbols aα ...... ß ,, no two letters occur together twice . If we select 5 of these triads so as to include each of the 15 symbols such as 5 - observing that a triad aa , ß , is composed of 2 of ...
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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
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