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amount angle applied atmosphere axis base becomes body called cause cells centre circle College common computation condition constant contains Continued curve denote determine difference direction distance divide draw earth's effect equal equation evident example expression factor figure force four fraction function Geometry given gives greater heat Hence increase integral less Mass Mathematical maximum means measure method Monthly motion multiplied Note observations obtain origin parallel passing perpendicular plane polygon positive possible Prize probability problem Probs Professor proposition prove quantity radius ratio remainder represented respectively roots rotation rule sides similar solutions sphere square student Substituting supposed surface taken tangent third tion triangle unit University whole
Σελίδα 113 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Σελίδα 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.
Σελίδα 326 - 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.
Σελίδα 285 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 321 - First, that the maximum of polygons formed of given sides may be inscribed in a circle ; secondly, that the maximum of isoperimetrical polygons having a given number of sides has its sides equal ; and thirdly, that such a regular polygon is of smaller area than a circle isoperimetrical with it. 134. Theorem. The area of a triangle is found by multiplying the base by half the altitude. This theorem has been already proved (Art. 111). 135. We shall need the Pythagorean proposition, which implies all...