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

### From inside the book

Results 1-5 of 39

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**perpendicular**to the axis of x . ( 3 ) . The question of quadrature like that of interpolation is indeter- minate and admits of an indefinite number of methods . Whatever the func- tion y may be if it is continuous we can express the ... Page 15

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**perpendicular**to one another , and correctly subdivided on the same scale ; while the parallels are represented by arcs of circles described with radii proportional to the cotangents of the latitudes , such being the radii of the ... Page 29

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**perpendicular**to AO . Put OB = r , OA = a , OM = x , PM = y . Then AP = x ) 2 + y , when xa , and AP = [ ( x − a ) 2 + y2 , when x > a ; hence the sum of — [ ( a — the distances of all the points of the sphere from A is P Ο B MA ƒ “ ƒ ... Page 43

... called by Sylvester the Quadratic Binomial Extractor , may be reduced to the four - bar cell repre- sented in Fig . 1 , in which AB = BO = BQ = a and ACCO = CP = b . The line joining A and O is evidently

... called by Sylvester the Quadratic Binomial Extractor , may be reduced to the four - bar cell repre- sented in Fig . 1 , in which AB = BO = BQ = a and ACCO = CP = b . The line joining A and O is evidently

**perpendicular**at -43- Page 46

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**perpendicular**to the line of centres OQ , by the use of the Quadruplane the line described may make any desired angle with the line of centres . ( To be continued . ) RATIONAL RIGHT ANGLED TRIANGLES NEARLY ISOSCELES . BY ARTEMAS MARTIN. -46 ...### 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