The American Mathematical Monthly: The Official Journal of the Mathematical Association of America, Volumes 11-14The Association, 1904 - Mathematicians |
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Page 13
... parallel to the normal . COROLLARY 2 . COROLLARY 3 . When the diagonal is parallel to the radius it is an asymptote . If a point in one side of a movably pivoted rhombus , at a giv- en distance from the vertex , is constrained to move ...
... parallel to the normal . COROLLARY 2 . COROLLARY 3 . When the diagonal is parallel to the radius it is an asymptote . If a point in one side of a movably pivoted rhombus , at a giv- en distance from the vertex , is constrained to move ...
Page 34
The Official Journal of the Mathematical Association of America. to a plane which is parallel to the rays of light and whose intersections with the mirrors are the lines a1 , a2 , ɑz , ......... .. , ɑn . For the sake of generality we ...
The Official Journal of the Mathematical Association of America. to a plane which is parallel to the rays of light and whose intersections with the mirrors are the lines a1 , a2 , ɑz , ......... .. , ɑn . For the sake of generality we ...
Page 64
... parallel to a given right line , the locus of the vertex is an equilateral hyperbola or a right line ac- cording as the base is a central conic or a parabola . [ Exercise 40 , page 94 , C. Smith's Sol- id Geometry ] . Solution by ...
... parallel to a given right line , the locus of the vertex is an equilateral hyperbola or a right line ac- cording as the base is a central conic or a parabola . [ Exercise 40 , page 94 , C. Smith's Sol- id Geometry ] . Solution by ...
Page 69
... The section by a plane parallel to the yz plane is an ellipse whose semi- axes are c and cx / a , and whose area is therefore cx / a . Hence the required vol- ume is a πρ a Sexdx , or ac2 . 0 παρ . II . Solution by B. F. FINKEL , A. M. 69.
... The section by a plane parallel to the yz plane is an ellipse whose semi- axes are c and cx / a , and whose area is therefore cx / a . Hence the required vol- ume is a πρ a Sexdx , or ac2 . 0 παρ . II . Solution by B. F. FINKEL , A. M. 69.
Page 70
... parallel to the x - axis . It is thus seen that the given surface intersects the xz - plane in two parallel straight . lines , and the xy - plane in two straight lines passing through the origin . If x = a , y = c2-22 , the equation of ...
... parallel to the x - axis . It is thus seen that the given surface intersects the xz - plane in two parallel straight . lines , and the xy - plane in two straight lines passing through the origin . If x = a , y = c2-22 , the equation of ...
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A. H. Holmes Algebra American Mathematical angle Anniston B₁ Calculus chord circle coefficients College congruent conic coördinates curve determinant diameter DIOPHANTINE ANALYSIS ellipse equal equation F. P. MATZ function G. B. M. ZERR G. W. GREENWOOD geometry given group of order GROUP THEORY Hagerstown Heidelberg University Hence hyperbola integral intersection L. E. DICKSON L. E. Newcomb locus McKendree College multiple multiply perfect operators parabola parallel Parsons perpendicular plane problem Professor of Mathematics Proposed by W. J. quadratic residue R. D. CARMICHAEL radius respectively roots Scheffer segment sides Solution by G. B. M. Solution by G. W. solved sphere square subgroups of order Substituting tangent Theorem theory triangle University of Chicago vertices W. J. GREENSTREET