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

### From inside the book

Results 1-5 of 62

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**curve**is Sydx , the integral being taken between the limits xg , and x = h ; to which correspond the terminal ...**curve**joining them . The general parabolic**curve**y = a 。 + a1x + α2x2 + .... . . ɑnx ” , can be made to pass through ... Page 2

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**curve**is - : the 3p arbitrary constant being zero . The area between the first and third ordi- nates , the axis of x and the**curve**is ( x +24 ) 3 — x3 3p or 46x2 + 124x + 842 4x2 - 3 Р = 3 P + 4 . + ( x + 4 ) 2 ( x + 24 ) 2 ̄ p P Area ... Page 5

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**curve**. Taking the radius as unit , the interval is , and the values of the seven equidistant ordinates are , YoY6 = 1/3 = 0.8660254 Уо Y1 = y = 1/8 Y1 - Y5 - = 0.9428090 Y2 = Y4 = { √35 0.9860133 Y3 The exact value of this area is = 1 ... Page 10

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**curve**for any place , and takes the time the sun is above the horizon for the interval of observation , and decides to make three observa- tions a day , for which n = 2 , he will observe his instruments about one ninth of the interval ... Page 15

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**curve**being denoted by , we shall have dy ÷ dx ; tan = and if the**curve**cuts the parallel at right angles we shall have the radius of the parallel coinciding with the tangent , and Y would be the supplement of tan 0 = dy ÷ dx . 0 , or ...### 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