The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |
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Results 1-5 of 28
Page 4
... ratio TM are 0 Mo T 1 = 1 ) ( nt — 2 ) ( nt — 3 ) . . . . ( nt — n ) , ( −1 ) ( −2 ) ( —3 ) - T ( nt ―― - nt ( nt 2 ) ( nt 3 ) · • 2 nt ( nt = M 2 M1 T 1 1 . ( − 1 ) ( —2 ) 1 ) ( nt - 3 ) 2.1 . ( - 1 ) T nt ( nt = and n ...
... ratio TM are 0 Mo T 1 = 1 ) ( nt — 2 ) ( nt — 3 ) . . . . ( nt — n ) , ( −1 ) ( −2 ) ( —3 ) - T ( nt ―― - nt ( nt 2 ) ( nt 3 ) · • 2 nt ( nt = M 2 M1 T 1 1 . ( − 1 ) ( —2 ) 1 ) ( nt - 3 ) 2.1 . ( - 1 ) T nt ( nt = and n ...
Page 23
... ratios of n - 1 of the unknown quan- tities to the remaining unknown , thus : -take the three equations a 1 x + b1y + c 1z = 0 , ɑ2x . + b2y + c22 = 0 , αzx + bzy + cg2 = 0 ; we may write them in the form x a1 = 2 + b 12 2/2 · C1 ...
... ratios of n - 1 of the unknown quan- tities to the remaining unknown , thus : -take the three equations a 1 x + b1y + c 1z = 0 , ɑ2x . + b2y + c22 = 0 , αzx + bzy + cg2 = 0 ; we may write them in the form x a1 = 2 + b 12 2/2 · C1 ...
Page 24
... ratio , say p : q : r , we have By + Dx + Ez = 2 ( Ax + Dy + Fz ) , Ρ and Cz + Ey + Fx = ” ( Ax + Dy + Fz ) : then ( 2 ) may be written Ρ ( x + ( x + 2y + z ) Ρ x ( Ax + Dy + Fz ) . This therefore is the condition to be fulfilled : it ...
... ratio , say p : q : r , we have By + Dx + Ez = 2 ( Ax + Dy + Fz ) , Ρ and Cz + Ey + Fx = ” ( Ax + Dy + Fz ) : then ( 2 ) may be written Ρ ( x + ( x + 2y + z ) Ρ x ( Ax + Dy + Fz ) . This therefore is the condition to be fulfilled : it ...
Page 41
... ratio ; so here each term is shown to be derivable from the preceding by a fixed operation . It only remains to ascertain or simplify such opera- tion . For this purpose , omitting the subscripts and applying common sub- stitutions from ...
... ratio ; so here each term is shown to be derivable from the preceding by a fixed operation . It only remains to ascertain or simplify such opera- tion . For this purpose , omitting the subscripts and applying common sub- stitutions from ...
Page 45
... ratio and make a constant angle , and if P ' describe a given curve , Q ' will describe a similar curve , as in the case of the ordinary pantagraph , but turned or skewed through a given angle . The rays of the Skew Panta- graph may be ...
... ratio and make a constant angle , and if P ' describe a given curve , Q ' will describe a similar curve , as in the case of the ordinary pantagraph , but turned or skewed through a given angle . The rays of the Skew Panta- graph may be ...
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Common terms and phrases
5th degree a₁ algebraic ANALYST angle ARTEMAS MARTIN assumed axis b₁ C₁ circular coefficients common logarithms constant curve denote determine differential distance E. B. SEITZ ellipse Elliptic Functions equal equation expression factor formula function given circle gives hence hyperbola integral intersection inverse Lagrange's Theorem locus logarithms method multiply observations orbital orbital force ORSON PRATT oxen parabola parallel perpendicular plane points at infinity position probable error quadrics quadrilateral radius ratio reduce represent result roots sides SOLUTION BY PROF SOLUTIONS of problems sphere square substitution surface tangent Taylor's Theorem Theorem tion triangle UNION SPRINGS unknown quantities values velocity whence zero