The Mathematical Monthly, Band 21860 |
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Seite 19
... increase of the function for an increase of the variable , and a negative value indicates a decrease of the function for an increase of the variable ; then a change in the derivative from positive to nega- tive values indicates a change ...
... increase of the function for an increase of the variable , and a negative value indicates a decrease of the function for an increase of the variable ; then a change in the derivative from positive to nega- tive values indicates a change ...
Seite 20
... increases or decreases both before and after it has ceased to increase or decrease ; that is , it simply suspends for a moment without reversing the change , and its value is therefore neither a maximum nor a minimum . If a series of ...
... increases or decreases both before and after it has ceased to increase or decrease ; that is , it simply suspends for a moment without reversing the change , and its value is therefore neither a maximum nor a minimum . If a series of ...
Seite 25
... increased by the same multiplier m . c ± by a we suppose a to be a composite Now when b is a 4. If in the expression number , as ma ' , the expression becomes c ± by ma ' multiple of either m or a ' , and y becomes a multiple of the ...
... increased by the same multiplier m . c ± by a we suppose a to be a composite Now when b is a 4. If in the expression number , as ma ' , the expression becomes c ± by ma ' multiple of either m or a ' , and y becomes a multiple of the ...
Seite 32
... increased edition , and bring it to the attention of all the prominent professors , teachers , en- gineers , & c . , in the country at all likely to be interested in such a publication . The Editor would improve the opportunity to say ...
... increased edition , and bring it to the attention of all the prominent professors , teachers , en- gineers , & c . , in the country at all likely to be interested in such a publication . The Editor would improve the opportunity to say ...
Seite 82
... by the growth of the grass must be in a direct ratio to the number of acres , without any regard to the time of grazing , because the fied , shall be so increased proportionally , as that 82 Review of the Prize Solution of the last.
... by the growth of the grass must be in a direct ratio to the number of acres , without any regard to the time of grazing , because the fied , shall be so increased proportionally , as that 82 Review of the Prize Solution of the last.
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 113 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Seite 60 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.
Seite 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.
Seite 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.
Seite 285 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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...