## The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |

### From inside the book

Results 1-5 of 7

Page 67

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**functions**of L , G and I only , the preceding equations show the manner in which H , g and h are involved in R. H ...**elliptic**theory Whence we deduce xdz zdx - -67- Page

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**Elliptic Functions**, 129 Change from Alg . to Elliptic Funct's , 130 Con'n with the Spherical Triangle , 132 Increasing Scales of Moduli , 135 Martin , Artemas , 175 Decreasing Scales of Moduli , 136 Mc . Adam , Professor D. J. , 179 ... Page 28

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**elliptic functions**, as the following solution will show . SOLUTION BY ARTEMAS MARTIN , ERIE , PA . b = av / ( 1 — e2 ) . · LET a be the equatorial and b the polar radius of the earth , then a3 — b3 = a'e2 , and . ( 1 ) Let R be any ... Page 29

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**elliptic functions**of the first and second orders . 140. " A point is taken at random within a given circle , and a random chord drawn through it . If another chord be drawn at random , what is the probability that it will intersect the ... Page 55

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**elliptic functions**, Chap . XXVI . p . 165 . Legendre shows that the elliptic integrals disappear , and that the result can be expressed in logarithmic and circular functions . His method is compli- cated however , and Clausen has ...### Other editions - View all

### 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