The American Mathematical Monthly Volume 15-16 downloadPDF, EPUB, MOBI
The American Mathematical Monthly Volume 15-16 downloadPDF, EPUB, MOBI
The American Mathematical Monthly Volume 15-16 by Mathematical Association Of America
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Author: Mathematical Association Of America
Number of Pages: 108 pages
Published Date: 01 May 2012
Publisher: Rarebooksclub.com
Publication Country: Miami Fl, United States
Language: English
ISBN: 9781231321508
File size: 12 Mb
Download Link: The American Mathematical Monthly Volume 15-16
---------------------------------------------------------------
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 Excerpt: ...has been received. MECHANICS. 219. Proposed by W. J. GREENSTREET. M. A.. Stroud. England. A rod length a/3, weight W, has at each end a smooth ring which can slide on a vertical circle radius r. Each ring is attached by an elastic string (natural lengths a, b; moduli /' a, n b) to the highest point of the circle. Find the inclination of the rod to the horizon in a position of equilibrium. Solution by G. B. M. ZERR, A. M., Ph. D., Philadelphia, Pa. In what follows we regard the strings as having no weight, and also Remarks by G. B. M. ZERR, A. M., Ph. D., Philadelphia. Pa. In the second term of the second member of the equation, Hp--4) should be i(p--3). The equation is generally but not universally true as ia shown by induction in what follows. Letp=4ra+3, then i(p--1) =2m+l, i(p-3)--m, i'VT'l P3p-1 v%-s)r v Remarks by G. B. M. ZERR. A. M., Ph. D., Philadelphia. Pa. Some values, found by inspection, are given in the following table: GEOMETRY. 341. Proposed by FRANK LOXLEY GRIFFIN. S. M.. Ph. D., Instructor In Mathematics. Williams College. Given p=cos (m/n)o, where m and n are integers without a common factor. Deduce rules for finding by inspection: (1) The angle between the beginning and end of any loop of this curve; (2) The number of distinct loops. A loop is a portion of the curve between consecutive zero radii vectores. CALCULUS. 267. Proposed by FRANK LOXLEY GRIFFIN, S. M.. Ph. D.. Instructor in Mathematics, Williams College. A point within an ellipse, upon a normal making an angle with the major axis, is arbitrarily chosen. With this point as pole, and the line through it parallel to the major axis as polar axis, the equation of the ellipse is, Acos+Bcos+Ccos'tf-I-Dcos o+E=0, where the coefficients are functions of of the radius vector and of the dis...
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The American Mathematical Monthly Volume 15-16 by Mathematical Association Of America
Author: Mathematical Association Of America
Number of Pages: 108 pages
Published Date: 01 May 2012
Publisher: Rarebooksclub.com
Publication Country: Miami Fl, United States
Language: English
ISBN: 9781231321508
File size: 12 Mb
Download Link: The American Mathematical Monthly Volume 15-16
---------------------------------------------------------------
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 Excerpt: ...has been received. MECHANICS. 219. Proposed by W. J. GREENSTREET. M. A.. Stroud. England. A rod length a/3, weight W, has at each end a smooth ring which can slide on a vertical circle radius r. Each ring is attached by an elastic string (natural lengths a, b; moduli /' a, n b) to the highest point of the circle. Find the inclination of the rod to the horizon in a position of equilibrium. Solution by G. B. M. ZERR, A. M., Ph. D., Philadelphia, Pa. In what follows we regard the strings as having no weight, and also Remarks by G. B. M. ZERR, A. M., Ph. D., Philadelphia. Pa. In the second term of the second member of the equation, Hp--4) should be i(p--3). The equation is generally but not universally true as ia shown by induction in what follows. Letp=4ra+3, then i(p--1) =2m+l, i(p-3)--m, i'VT'l P3p-1 v%-s)r v Remarks by G. B. M. ZERR. A. M., Ph. D., Philadelphia. Pa. Some values, found by inspection, are given in the following table: GEOMETRY. 341. Proposed by FRANK LOXLEY GRIFFIN. S. M.. Ph. D., Instructor In Mathematics. Williams College. Given p=cos (m/n)o, where m and n are integers without a common factor. Deduce rules for finding by inspection: (1) The angle between the beginning and end of any loop of this curve; (2) The number of distinct loops. A loop is a portion of the curve between consecutive zero radii vectores. CALCULUS. 267. Proposed by FRANK LOXLEY GRIFFIN, S. M.. Ph. D.. Instructor in Mathematics, Williams College. A point within an ellipse, upon a normal making an angle with the major axis, is arbitrarily chosen. With this point as pole, and the line through it parallel to the major axis as polar axis, the equation of the ellipse is, Acos+Bcos+Ccos'tf-I-Dcos o+E=0, where the coefficients are functions of of the radius vector and of the dis...
Read online The American Mathematical Monthly Volume 15-16 Buy and read online The American Mathematical Monthly Volume 15-16 Download and read The American Mathematical Monthly Volume 15-16 for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook The American Mathematical Monthly Volume 15-16 ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
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