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angle applied arcs atmosphere axes axis base becomes body called cause cells centre circle College common computation condition constant contains Continued curve denote determine difference direction distance divided draw earth's effect equal equation evident example expression factor figure force four fraction Geometry given gives greater Hence increase integral length less Mass Mathematical maximum means measure method Monthly motion multiplied negative Note observations obtain origin parallel passing perpendicular plane polygon positive PRIZE probability problem Probs Proof proposition prove quantities radius ratio remainder represented respectively result right angles roots sides similar solutions space sphere spherical square student Substituting supposed surface taken tangent Theorem third tion triangle unit velocity whole
Σελίδα 115 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.