The Analyst, Volumes 1-2

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J.E. Hendricks, 1874
The Analyst publishes research articles in pure mathematics.
 

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Page 105 - From a point in the circumference of a circular field a projectile is thrown at random with a given velocity which is such that the diameter of the field is equal to the greatest range of the projectile : find the chance of its falling within the field.
Page 204 - ... seems, by some happy hazard, to have stumbled upon . No doubt the processes were found in this manner by the original discoverers, Tartaglia, Garden and Ferrari . But, for many reasons, it would be better to treat the subject as one demanding invention rather than artifice . The equations can, as it were, be interrogated and compelled to yield up their secrets, if they have any. To say that an equation is solvable algebraically, is to say that an algebraic expression can be found equivalent to...
Page 18 - If they be considered, as we have done, as small nebulae, wandering from one solar system to another, and formed by the condensation of the nebulous matter, which is diffused so profusely throughout the universe, we may conceive that when they arrive in that part of space where the attraction of the Sun predominates, it should force them to describe elliptic or hyperbolic orbits. But as their velocities are equally possible in every...
Page 139 - A globe is a solid figure, and may be supposed to be generated by the revolution of a semicircle about its diameter, which becomes the axis of the globe, and the centre of the semicircle is the centre of the globe.
Page 18 - To discover the system which binds together the great members of the creation in the whole extent of infinitude, and to derive the formation of the heavenly bodies themselves, and the origin of their movements, from the primitive state of nature by mechanical laws, seems to go far beyond the power of human reason. On the other hand, religion threatens to bring a solemn accusation against the audacity which would presume to ascribe to nature by itself results in which the immediate hand of the Supreme...
Page 157 - SOL UT10N OF A PROBLEM. BY EB SEITZ, GREENVILLE, OHIO. Three circles whose radii are a, b, c, touch each other externally. Within the space enclosed by them a circle is drawn tangent to the three circles, and within this circle three circles are drawn tangent to each other and to the three given circles. Calling the radii of these three circles...
Page 84 - NJ, in monthly numbers; nine numbers are all that are known to have been issued, seven continuously, in 1818, from February to August inclusive, and two in 1819, viz., in July and October. The above are all the particulars that the writer has been able to collect in regard to this periodical. The next year, 1820, Melatiah Nash became editor of "The Ladies and Gentlemen's Diary, or United States Almanac, and Repository of Science and Amusement.
Page 86 - ... publication of five problems in each number, adapted to the capacities of the young students, to be answered in the third succeeding number. The insertion of notes and queries, short discussions and articles of a fragmentary character, too valuable to be lost; and, lastly, essays not exceeding eight pages, on various subjects, in all departments of mathematics. Besides, there were notices and reviews of the mathematical works issued, both old and new. Among the most interesting articles are the...
Page 83 - It contained the valuable original work of Adrain on the Law of Probability of Errors. Besides the editor, N. Bowditch, Alexander M. Fisher, and Melatiah Nash were among the contributors to the Analyst. In 1818, William Marrat became editor of the Scientific Journal, which was published at Perth Amboy, NJ, in monthly numbers.
Page 105 - There are n tickets in a bag numbered 1, 2, 3, ... n. A man draws three tickets together at random and is to receive a number of shillings equal to the product of the numbers he draws. Find the value of his expectation.

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