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

### From inside the book

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**Logarithms**, 172 • On the Sum of the Cubes of any number of Terms of an Arithmetical Series , 15 On the Expression 00 , 31 , 64 , 95 , 132 , 163 , 191 Problem . To fit together Two or more Quadrics so that their Intersections shall be ... Page 11

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**logarithms**. Let it be required to find the square root of 2 : supposer = 1.4 : Then 14 99 2 1 14 + 2 ( 11 ) 2 10 · 10 R ; i . e . + = √ / 2 14 = = 1.4142 , 70 20 true to four places . By substituting 2 in the formula , we have 70 99 + ... Page 35

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**logarithm**, it is required to find the remaining digits such log ( b + .01x ) , or such that the right hand digits of both num- ber and**logarithm**shall be alike . that a + x = Lagrange's Theorem for several variables . Let efx = h ... Page 37

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**logarithm**below in series , developing each numerator by Taylor's Theorem till the power of the increment h is the same as in the denominator , we see by comparison with ( 8 ) that Lagrange's Theorem is represented by the terms ... Page 56

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**logarithm**is 1.28310 , P the siderial period in mean solar days , and u the argument of the Uranocentric latitude of the satellite at the epoch 1872 , Jan. 0. 0 , Washington mean time , we have a . Ariel 13.78 P. 2d.520383 W. 15 ° .82 ...### 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