The Mathematical Monthly, Volum 21860 |
Inni boken
Resultat 1-5 av 33
Side 9
... unit of surface , that the surface of the whole rectangle will be measured by the product of its base by its altitude ; that is , this product will show how many such units the rectangle contains . Indeed , the 2 VOL . II . in Fig . 3 ...
... unit of surface , that the surface of the whole rectangle will be measured by the product of its base by its altitude ; that is , this product will show how many such units the rectangle contains . Indeed , the 2 VOL . II . in Fig . 3 ...
Side 22
... units . AXIOMS . 1. If an integer be added to an integer , the sum will be an integer . 2. If an integer be subtracted from an integer , the remainder will be an integer . 3. If an integer be multiplied by an integer , the product will ...
... units . AXIOMS . 1. If an integer be added to an integer , the sum will be an integer . 2. If an integer be subtracted from an integer , the remainder will be an integer . 3. If an integer be multiplied by an integer , the product will ...
Side 26
... unit of the ratio , is undoubtedly , to some extent , arbitrary . But as soon as the pressure of the air is removed , in any degree , from the surface of a liquid , a portion of the liquid assumes the form of vapor , and it would be ...
... unit of the ratio , is undoubtedly , to some extent , arbitrary . But as soon as the pressure of the air is removed , in any degree , from the surface of a liquid , a portion of the liquid assumes the form of vapor , and it would be ...
Side 80
... units ' figures of the several multipliers , then by all the tens ' figures , and so on . EXAMPLE . Required the average time of payment of $ 371 due in 15 days , $ 25 due in 84 days , $ 1603 due in 107 days , and $ 885 due in 138 days ...
... units ' figures of the several multipliers , then by all the tens ' figures , and so on . EXAMPLE . Required the average time of payment of $ 371 due in 15 days , $ 25 due in 84 days , $ 1603 due in 107 days , and $ 885 due in 138 days ...
Side 103
... unit of length is a line taken as a standard of comparison for lengths . Thus an inch , a foot , a pace , a span , etc. , are units . The length of any line is its ratio to the unit of length . 85. Definition . A unit of surface is a ...
... unit of length is a line taken as a standard of comparison for lengths . Thus an inch , a foot , a pace , a span , etc. , are units . The length of any line is its ratio to the unit of length . 85. Definition . A unit of surface is a ...
Vanlige uttrykk og setninger
a₁ astronomers atmosphere axis b₁ body cells centre CHARLES HENRY DAVIS circle coefficients College computation conic section constant cos² curve denote distance divided earth's ellipse equal equation force fraction Geometry given gives Hamilton College hence hyperbola inscribed integral logarithms Marietta College Mass Mathematical Monthly maximum Mercury motion multiplied observations obtain parallel perihelion perpendicular Perry City plane polygon Prize is awarded PRIZE PROBLEMS PRIZE SOLUTION Probs Prof Prop proposition quantities quaternions quotient R₁ radius ratio regular polygon remainder result rhombs right angles roots rotation sides SIMON NEWCOMB sin² sine SOLUTION OF PROBLEM sphere spherical square supposed surface tangent Theorem tion triangle TRUMAN HENRY SAFFORD vector velocity whole number
Populære avsnitt
Side 113 - 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 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 - 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.
Side 285 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
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 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 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.
Side 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...