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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Side 21
... quantities . 3. The Diophantine Analysis is that in which the indetermi- nate quantities are required to be of the second , or of some higher degree . 4. The Factors of a number are any numbers which , multiplied together , will produce ...
... quantities . 3. The Diophantine Analysis is that in which the indetermi- nate quantities are required to be of the second , or of some higher degree . 4. The Factors of a number are any numbers which , multiplied together , will produce ...
Side 66
... quantities of the 2nd , 3rd , 4th , 5th , nth degrees . Quantics are also distinguished into binary , ternary , quartenary , n - ary , according as they contain 2 , 3 , 4 , n variables . There are other subsidiary terms which it is not ...
... quantities of the 2nd , 3rd , 4th , 5th , nth degrees . Quantics are also distinguished into binary , ternary , quartenary , n - ary , according as they contain 2 , 3 , 4 , n variables . There are other subsidiary terms which it is not ...
Side 67
... quantities ; the whole forming a most interesting collection of problems in maxima and minima , every one of which is solved by the methods used in the examples we have quoted . Prof. DE MORGAN'S Preface is exceedingly interesting , and ...
... quantities ; the whole forming a most interesting collection of problems in maxima and minima , every one of which is solved by the methods used in the examples we have quoted . Prof. DE MORGAN'S Preface is exceedingly interesting , and ...
Side 87
... quantities disap- a v v pear , leaving = 2√√ cos . But this cos corresponds to the arcs v , 360 ° + v , and 360 ° - v . Dividing by 3 , and putting 120 ° under the form of 180 ° 60 ° , we find the other two roots , 2 x = 2 x = a COS ...
... quantities disap- a v v pear , leaving = 2√√ cos . But this cos corresponds to the arcs v , 360 ° + v , and 360 ° - v . Dividing by 3 , and putting 120 ° under the form of 180 ° 60 ° , we find the other two roots , 2 x = 2 x = a COS ...
Side 103
... quantities is multiplied or divided by the same number , the ratio of the products or quotients will be the same as that of the quantities themselves . Thus twenty inches is in the same ratio to twenty rods as one inch to one rod , or ...
... quantities is multiplied or divided by the same number , the ratio of the products or quotients will be the same as that of the quantities themselves . Thus twenty inches is in the same ratio to twenty rods as one inch to one rod , or ...
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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.