The Mathematical Monthly, Հատոր 2John Daniel Runkle John Bartlett, 1860 "A complete catalogue of the writings of Sir John Herschel": v. 3, p. 220-227. |
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... Sci 920.20 3.00 -1 2- Entered according to Act of Congress , in the year 1860 , by J. D. RUNKLE , University Press , Cambridge : Electrotyped and Printed by Welch , Bigelow , & Co. No. VI . Prize Problems for Students . . Report.
... Sci 920.20 3.00 -1 2- Entered according to Act of Congress , in the year 1860 , by J. D. RUNKLE , University Press , Cambridge : Electrotyped and Printed by Welch , Bigelow , & Co. No. VI . Prize Problems for Students . . Report.
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... Prize Problems for Students . . Page Page • 1 Solution of a Problem . By SAXE GOTHA LAWS .. 18 • Note on Maxima and Minima . On the Indeterminate Analysis . By Rev. 19 • 2 Report of the Judges upon the Solutions of the Prize Problems in ...
... Prize Problems for Students . . Page Page • 1 Solution of a Problem . By SAXE GOTHA LAWS .. 18 • Note on Maxima and Minima . On the Indeterminate Analysis . By Rev. 19 • 2 Report of the Judges upon the Solutions of the Prize Problems in ...
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... Prize Problems in No. XI . Vol . I. 74 Notes and Queries . Note on the Greatest Common Divisor . By Prof. J. C. ... Prize Solution of the last Problem in Emerson's North American Arithmetic . By Hon . FINLEY BIGGER . 82 Editorial Items ...
... Prize Problems in No. XI . Vol . I. 74 Notes and Queries . Note on the Greatest Common Divisor . By Prof. J. C. ... Prize Solution of the last Problem in Emerson's North American Arithmetic . By Hon . FINLEY BIGGER . 82 Editorial Items ...
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... Prize Problems in No. VI . Vol . No. VI . Prize Problems for Students . . Report of the Judges upon the Solutions of the Prize Problems in No. III . Vol . II . 178 Notes and Queries . • Problems and Solutions . By Prof. RUTH- ERFORD ...
... Prize Problems in No. VI . Vol . No. VI . Prize Problems for Students . . Report of the Judges upon the Solutions of the Prize Problems in No. III . Vol . II . 178 Notes and Queries . • Problems and Solutions . By Prof. RUTH- ERFORD ...
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John Daniel Runkle. of the Prize Problems in No. VI . Vol . II . 298 A Second Book in Geometry . By Rev. AUGUST , 1860 . Derivative of a * . By. • Solution of a Problem in " Theoria Mo- tus . " By Prof. WM . CHAUVENET . Note on the Theory ...
John Daniel Runkle. of the Prize Problems in No. VI . Vol . II . 298 A Second Book in Geometry . By Rev. AUGUST , 1860 . Derivative of a * . By. • Solution of a Problem in " Theoria Mo- tus . " By Prof. WM . CHAUVENET . Note on the Theory ...
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Էջ 105 - The angles of a triangle cannot be altered without altering the length of the sides. — Proof. If in any triangle, as ABC, the sides were unchangeable, any alteration of the angles A and В would by article 93 make the point С move in two directions at once, (namely, at right angles to AC, and at right angles to В С,) which is impossible, and therefore the angles cannot be altered. 95. Corollary. If the three sides of a triangle are respectively equal to the three sides of another triangle, the...
Էջ 32 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.
Էջ 264 - 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.
Էջ 34 - The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or...
Էջ 114 - Two circles touch each other externally, the diameter of one being double of the diameter of the other ; through the point of contact any line is drawn to meet the circumferences of both ; shew that the part of the line which lies in the larger circle is double of that in the smaller.
Էջ 32 - On the calculation of the oblateness of the earth, by means of the observed lengths of a pendulum in different latitudes, according to the method given by La Place in the second volume of his " Mecanique Celeste," with remarks on other parts of the same work, relating to the figure of the earth.
Էջ 118 - What fraction is that, to the numerator of which if 1 be added, its value will be |, but if 1 be added to its denominator its value will be i.
Էջ 118 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes | ? Ans.
Էջ 133 - Law of cosines for sides: cos a = cos b cos с + sin 6 sin с cos A cos b = cos a cos с + sin a sin с cos ß cos с = cos a cos...
Էջ 71 - Thus, from the self-evident truth of article 78, we find that the product of the means bears the same ratio to the product NXQ that is borne to it by the product of the extremes. And as it is self-evident that two quantities, bearing the same ratio to a third, must be equal to each other, we have proved that the product of the means is equal to that of the extremes. 82. Definition. When both the means are the same quantity, that quantity is called a mean proportional between the extremes. 83. Corollary....