The Mathematical Monthly, Band 21860 |
Im Buch
Ergebnisse 1-5 von 52
Seite 10
... tion and the necessity of Temperament , have their origin only in the short - sightedness of the theorist , and the unskilfulness of the practitioner . Having settled upon the rule that musical ratios must not exceed a certain limit of ...
... tion and the necessity of Temperament , have their origin only in the short - sightedness of the theorist , and the unskilfulness of the practitioner . Having settled upon the rule that musical ratios must not exceed a certain limit of ...
Seite 13
... tion of the works of the masters has extended , it has not been used by them in their written music , and perhaps never , unless possibly in the harmonics of a Paganini . I do not claim for it a place in our practical system of music ...
... tion of the works of the masters has extended , it has not been used by them in their written music , and perhaps never , unless possibly in the harmonics of a Paganini . I do not claim for it a place in our practical system of music ...
Seite 18
... tion ; since 3 raised to the third power is found in the multiple 207900 , which is one higher than it is found in either of the given numbers . - TEACHER . 2. On page 363 , Vol . I. , we find that 17 horses were devised to three sons ...
... tion ; since 3 raised to the third power is found in the multiple 207900 , which is one higher than it is found in either of the given numbers . - TEACHER . 2. On page 363 , Vol . I. , we find that 17 horses were devised to three sons ...
Seite 21
... tion is at a minimum value ; if this derivative , be negative and even , the function is at a maximum value ; but if this derivative be of an odd order , then the value of the function is neither a maximum nor a minimum . W. I ON THE ...
... tion is at a minimum value ; if this derivative , be negative and even , the function is at a maximum value ; but if this derivative be of an odd order , then the value of the function is neither a maximum nor a minimum . W. I ON THE ...
Seite 26
... tion of the compressibility of air under the same pressure . This function may perhaps be represented by the ratio of homol- ogous representatives of equal weights of air and liquid under the ordinary atmospheric pressure ; for example ...
... tion of the compressibility of air under the same pressure . This function may perhaps be represented by the ratio of homol- ogous representatives of equal weights of air and liquid under the ordinary atmospheric pressure ; for example ...
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...