The Mathematical Monthly, Volum 2John Daniel Runkle John Bartlett, 1860 "A complete catalogue of the writings of Sir John Herschel": v. 3, p. 220-227. |
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Resultat 1-5 av 29
Side 17
... remainder , we shall , by following the rule , always get their least common multiple ; if we divide by any number which will divide two or more of them , and follow the rule , we shall get a common multiple , but not always the least ...
... remainder , we shall , by following the rule , always get their least common multiple ; if we divide by any number which will divide two or more of them , and follow the rule , we shall get a common multiple , but not always the least ...
Side 22
... remainder will be an integer . 3. If an integer be multiplied by an integer , the product will be an integer . 4. If an integer be divided by any of its factors , the quotient will be an integer . PROPOSITIONS . I. If a number will ...
... remainder will be an integer . 3. If an integer be multiplied by an integer , the product will be an integer . 4. If an integer be divided by any of its factors , the quotient will be an integer . PROPOSITIONS . I. If a number will ...
Side 23
... remainder . DEMONSTRATION . ( 1 ) As a is prime to b , and greater than y , it will divide neither factor , and consequently will not divide their product , Prop . IV . ( 2 ) . Suppose that any two values of y , as y ' and y " , will ...
... remainder . DEMONSTRATION . ( 1 ) As a is prime to b , and greater than y , it will divide neither factor , and consequently will not divide their product , Prop . IV . ( 2 ) . Suppose that any two values of y , as y ' and y " , will ...
Side 24
... remainder results from the division of c by a , this also will be constant ; and therefore whether we add to it or subtract from it , the unequal remainder , resulting from the division of by by a , the sums and the differences will ...
... remainder results from the division of c by a , this also will be constant ; and therefore whether we add to it or subtract from it , the unequal remainder , resulting from the division of by by a , the sums and the differences will ...
Side 25
... remainder of c divided by a . Again , suppose that b is a multiple of d ' ; then we have in the c ± by c ± a ' b'my ' с a m a ' с ma ' α ± by = or ± b'y ' , which same way , gives the same remainder as before . All the preceding ...
... remainder of c divided by a . Again , suppose that b is a multiple of d ' ; then we have in the c ± by c ± a ' b'my ' с a m a ' с ma ' α ± by = or ± b'y ' , which same way , gives the same remainder as before . All the preceding ...
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A₁ Algebra astronomers atmosphere axis b₁ body c₁ centre CHAUNCEY WRIGHT circle coefficients College computation Conic Sections constant cos² cot B cot curve December 18 denote distance divided ellipse equal equation force formula fraction geometry given gives Hamilton College hence hyperbola inscribed integral logarithms Marietta College Mass Mathematical Monthly maximum Mercury motion multiplied oxen parabola perihelion perpendicular Perry City plane polygon Prize is awarded PRIZE PROBLEMS PRIZE SOLUTION probability Probs proposition quantities quaternions R₁ radii radius ratio rectangle result rhombs right angles roots sides SIMON NEWCOMB sin² SOLUTION OF PROBLEM sphere spherical square suppose surface tan² tangent Theorem tion triangle TRUMAN HENRY SAFFORD vector velocity whole number
Populære avsnitt
Side 115 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Side 60 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.
Side 226 - Physical Optics, Part II. The Corpuscular Theory of Light discussed Mathematically. By RICHARD POTTER, MA Late Fellow of Queens' College, Cambridge, Professor of Natural Philosophy and Astronomy in University College, London.
Side 328 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Side 307 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 61 - Published in the Monthly Anthology for December, 1807, Vol. IV. [pp. 653, 654.] 2. Review of a "Report of the Committee (of Congress,) to whom was referred, on the 25th of January, 1810, the Memorial of William Lambert, accompanied with sundry Papers relating to the Establishment of a First Meridian for the United States, at the permanent Seat of their Government.
Side 358 - Pratt. — A TREATISE ON ATTRACTIONS, LAPLACE'S FUNCTIONS, AND THE FIGURE OF THE EARTH. By JOHN H. PRATT, MA, Archdeacon of Calcutta, Author of "The Mathematical Principles of Mechanical Philosophy.
Side 362 - URIAH A. BOYDEN, ESQ., of Boston, Mass., has deposited with THE FRANKLIN INSTITUTE the sum of one thousand dollars, to be awarded as a premium to "Any resident of North America who shall determine by experiment whether all rays of light,* and other physical rays, are or are not transmitted with the same velocity.
Side 360 - Calculus — a connection which in some instances involves far more than a merely formal analogy. The work is in some measure designed as a sequel to Professor Boole's Treatise on Differential Equations.
Side 328 - PUCKLE.— An Elementary Treatise on Conic Sections and Algebraic Geometry. With a numerous collection of Easy Examples progressively arranged, especially designed for the use of Schools and Beginners. By G. HALE PUCKLE, MA, Principal of Windermere College.