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amount angle arcs atmosphere axes axis base becomes body called cause cells centre circle College common computation condition constant containing curve denote determine difference direction distance divided draw effect equal equation evident example expression factor figure force four fraction Geometry given gives greater heat hence increase inscribed integral length less Mass Mathematical maximum mean measure method Monthly motion multiplied observed obtain origin parallel passing perpendicular plane polygon positive PRIZE probability problem Probs Proof proportional proposition prove quantities radius ratio remainder represented respectively result rhombs right angles roots sides similar SOLUTION space spheres spherical square Substituting supposed surface taken tangent Theorem third tion triangle unit whole
Side 113 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Side 224 - 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 326 - 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 305 - 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 59 - 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 356 - 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 360 - 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 358 - 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.