The American Mathematical Monthly: Devoted to the Interests of Collegiate Mathematics, Volumes 1-2Benjamin Franklin Finkel Mathematical Association of America, 1894 - Mathematicians Includes articles, as well as notes and other features, about mathematics and the profession. |
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Algebra AMERICAN MATHEMATICAL MONTHLY axis B. F. FINKEL Calculus chord circle Conducted by J. M. contributions cube curve diameter DIOPHANTINE ANALYSIS distance equal equation Euclid F. P. MATZ feet finite G. B. M. ZERR given groups H. C. WHITAKER H. W. DRAUGHON Hagerstown Hence High School hypothesis integral J. F. W. SCHEFFER J. M. COLAW Kidder Lobatschewsky London Mathematical Society Maryland Mathematical Society mathematicians Mathematics and Astronomy Missouri Monterey NON-EUCLIDEAN GEOMETRY Ohio Oneida Castle P. S. BERG perpendicular plane Principal of High Prof Professor G. B. M. ZERR Professor of Mathematics Proposed by F. P. radius regular polygon right angles sides SOLUTIONS OF PROBLEMS solved square number Staunton straight line Substituting surface tangent theorem triangle Trigonometry University University of Mississippi velocity Virginia Windsor College
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Page 11 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Page 248 - He was awarded the Gold Medal of the Royal Astronomical Society in 1954.
Page 249 - Elementary Theorems Relating to the Geometry of a Space of Three Dimensions and of Uniform Positive Curvature in the Fourth Dimension," published in Borchardt's Journal, Bd.
Page 102 - All straight lines which in a plane go out from a point can, with reference to a given straight line in the same plane, be divided into two classes — into cutting and not-cutting. The boundary lines of the one and the other class of those lines will be called parallel to the given line.
Page 80 - ... finite instead of infinite. We thus with a proper law of shortening arrive at a system of non-Euclidian geometry which is essentially that of Lobatschewsky. But in so obtaining it we put out of sight its relation to spherical geometry: the three geometries (spherical, Euclidian, and Lobatschewsky's) should be regarded as members of a system : viz. they are the geometries of a plane (two-dimensional) space of constant positive curvature, zero curvature, and constant negative curvature respectively...
Page 237 - From a point in the circumference of a circular field a projectile is thrown at random with a given velocity which is such that the diameter of the field is equal to the greatest range of the projectile : find the chance of its falling within the field.
Page 89 - Upon this, they called a truce, and agreed that the } of the whole, left by A at first, should be equally divided among them. How much of the prize, after this distribution, remained with each of the competitors ? :~ An,.
Page 413 - proved" the existence of God using the same arguments I found years later in Spinoza's Ethics and in other philosophical works. God's essence and His existence are identical. When we say that one and one makes two or that the sum of the angles in a triangle equals two right angles, we don't need a wooden triangle or two groschen to prove us right. One and one would equal two even if there were no objects in the world. Once Reb Baruch Kossover had reassured the reader that there is a God, he went...
Page 249 - Dimensions," in which he shows, for instance, that if a fourth dimension were added to space, a closed material surface (or shell) could be turned inside out by simple flexure without either stretching or tearing. Later articles have been on the theory of errors in observations. In former years he also contributed to the Mathematical Monthly and the Analyst. Professor Newcomb has written a series of college text-books on mathematics. In 1881 appeared his Algebra for Colleges and his Elements of Geometry...
Page 26 - ... (1889)." The only mathematical book written by Chauvenet and not mentioned in the above sketch is a little book entitled Binomial Theorem and Logarithms, published in 1843 for the use of midshipmen at the Naval School, Philadelphia. As regards the quality of Professor Chauvenet's books, Prof. TH Safford, of Williams College, says : " This excellent man and lucid writer was admirably adapted to promote mathematical study in this country. His father, a Frenchman of much culture, trained him very...