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

### From inside the book

Results 1-5 of 5

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 ... 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- 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 ...

... 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

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 ...### 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