## The Mathematical Monthly |

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### Contents

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### Common terms and phrases

acres Algebra astronomers atmosphere axis body Bowditch cells centre circle coefficients College computation conic section constant curve cyclone denote difference distance divide ellipse equal equation factor force formula fraction geometry gives gyrations Hamilton College Hence hyperbola inscribed integral least common multiple logarithms Marietta College Mass Mathematical Monthly Mathematics maxima and minima maximum motion multiplied negative obtain oxen parabola parallel perihelion perpendicular Perry City plane polygon positive Prize is awarded PRIZE PROBLEMS Prize Solution Probs Prof Prop proposition quantities quaternions quotient radii radius ratio rectangle regular polygon remainder rhombs right angles roots rotation sides Simon Newcomb Solution of Problem sphere spherical square straight line Substituting supposed tangent tensor Theorem tion triangle Truman Henry Safford vector velocity whence whole number

### Popular passages

Page 115 - Multiplying or dividing both terms of a fraction by the same number does not change its value.

Page 62 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.

Page 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.

Page 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.

Page 287 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.

Page 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.

Page 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.

Page 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.

Page 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.

Page 323 - 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...