Background
John Daniel Runkle, the son of Daniel and Sarah (Gordon) Runkle, was born at Root, Montgomery County, N. Y. , and spent his early life on a farm.
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(Excerpt from The Mathematical Monthly, Vol. 3: October 18...)
Excerpt from The Mathematical Monthly, Vol. 3: October 1860 I. Let A B and 0 D be two diameters of a given circle, drawn at right angles to each other; A E B a circular arc described with radius DA or db. Prove that the area of the lune A E B 0 equals the area of the triangle A D B. II. Of all isoperimetrical polygons having the same number of sides, the greatest is that which is equilateral. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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(The Mathematical Monthly was written by John Daniel Runkl...)
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John Daniel Runkle, the son of Daniel and Sarah (Gordon) Runkle, was born at Root, Montgomery County, N. Y. , and spent his early life on a farm.
At the age of twenty-five he entered the newly established Lawrence Scientific School at Harvard. In the Harvard catalogue of 1848-49 his name stands alone as "student in mathematics. " He was a member of the first graduating class of the Lawrence Scientific School, receiving the two degrees of S. B. and M. A. simultaneously in 1851.
After his graduation Runkle sent two of his four younger brothers to Harvard. In 1852 he contributed papers to the Astronomical Journal on the elements of Thetis and Psyche (June 26, July 24, 1852). In 1856 his New Tables for Determining the Values of the Coefficients in the Perturbative Function of Planetary Motion, were published in the Smithsonian Contributions to Knowledge, and other tables followed in 1857.
In 1858 he began the publication of the Mathematical Monthly, but the time was not yet ripe for such a journal and only three volumes appeared (October 1858 - September 1861). In 1849 he had begun a connection with the Nautical Almanac, a relationship which continued in one form or another for thirty-five years. Benjamin Peirce thought so highly of him in his early relations with this publication that in the preface of his System of Analytic Mechanics (1855) he said that Runkle had been influential in causing him to publish the work.
In 1862 the Massachusetts Institute of Technology was founded and he became its first secretary. He was professor of mathematics from 1865 to 1868 and from 1880 to 1902, when he was made professor emeritus. In 1868, when illness incapacitated President William Barton Rogers, Runkle became acting president, and from 1870 to 1878 he was president.
In 1871 he conducted an expedition of students to Colorado and Utah for the purpose of observing mines and the processes of mining. In 1872 he established the Lowell School of Practical Design. After resigning his presidency of the Massachusetts Institute of Technology, he spent two years in Europe; during this time he investigated technological schools.
( This work has been selected by scholars as being cultur...)
(This is a pre-1923 historical reproduction that was curat...)
(The Mathematical Monthly was written by John Daniel Runkl...)
(Excerpt from The Mathematical Monthly, Vol. 3: October 18...)
In 1862 Runkle married Catharine Robbins Bird.