The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |
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Page 73
... infinity , which shows that the ultimate shape of the 3- bar curve when ... points off the bars being similar but not similarly placed , and derivable ... points of the linkage is constant . He first points out that the cosines ...
... infinity , which shows that the ultimate shape of the 3- bar curve when ... points off the bars being similar but not similarly placed , and derivable ... points of the linkage is constant . He first points out that the cosines ...
Page 84
... infinity and then reap- pears on the left , forming now with the other line ... coordinates of the point 0 . Mr. Seitz gets Cos = 7.2 αρ ( p2 - a2 ) p tan a 2ar [ r tan a√ ( p2 —r3 ) ] ' for the polar ... points draw a circle -84-
... infinity and then reap- pears on the left , forming now with the other line ... coordinates of the point 0 . Mr. Seitz gets Cos = 7.2 αρ ( p2 - a2 ) p tan a 2ar [ r tan a√ ( p2 —r3 ) ] ' for the polar ... points draw a circle -84-
Page 44
... point ( a , 0 ) [ centre of the generating circle ] we have the equation r2x + 3ax2 - uy2 + 3a2x + a3 = 0 , · • · ( 7 ) hence the inverse with respect to this point , and modulus a2 , is ... points at infinity in a given curve are -44-
... point ( a , 0 ) [ centre of the generating circle ] we have the equation r2x + 3ax2 - uy2 + 3a2x + a3 = 0 , · • · ( 7 ) hence the inverse with respect to this point , and modulus a2 , is ... points at infinity in a given curve are -44-
Page 45
A Monthly Journal of Pure and Applied Mathematics. 9. The points at infinity in a given curve are found by equating to zero the terms of highest degree ; hence to determine these points for the com- plete equation which represents an ...
A Monthly Journal of Pure and Applied Mathematics. 9. The points at infinity in a given curve are found by equating to zero the terms of highest degree ; hence to determine these points for the com- plete equation which represents an ...
Page 47
... points at infinity , ac- cording as the node is a crunode , cusp or acnode . In general , if the centre of inversion is a multiple point of the s order , the inverse is an ( m - 8 ) -cir- cular ( 2m — s ) -ic , with s real or imaginary ...
... points at infinity , ac- cording as the node is a crunode , cusp or acnode . In general , if the centre of inversion is a multiple point of the s order , the inverse is an ( m - 8 ) -cir- cular ( 2m — s ) -ic , with s real or imaginary ...
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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