The Teaching and History of Mathematics in the United States

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U.S. Government Printing Office, 1890 - Mathematics - 400 pages
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Page 364 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Page 104 - It is with no feeling of pride, as an American, that the remark may be made that, on the comparatively small territorial surface of Europe, there are existing upward of one hundred and thirty of these lighthouses of the skies ; while throughout the whole American hemisphere there is not one.
Page 364 - THEOREM. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite...
Page 41 - When we shall have existed as a people as long as the Greeks did before they produced a Homer, the Romans a Virgil, the French a Racine and Voltaire, the English a Shakespeare and Milton, should this reproach be still true, we will enquire from what unfriendly causes it has proceeded...
Page 272 - He was awarded the Gold Medal of the Royal Astronomical Society in 1954.
Page 65 - Astronomy explained upon Sir Isaac Newton's principles, and made easy to those who have not studied Mathematics...
Page 261 - Development of the perturbative function and its derivatives in sines and cosines of multiples of the eccentric anomaly and in powers of the eccentricities and inclinations.
Page 34 - It was my great good fortune, and what probably fixed the destinies of my life, that Dr. William Small of Scotland, was then professor of Mathematics, a man profound in most of the useful branches of science, with a happy talent of communication, correct and gentlemanly manners, and an enlarged and liberal mind.
Page 87 - The book was obtained. It was the first glance that he had ever had at algebra. "And that night," said he, " I did not close my eyes." He read it, and read it again, and mastered its contents, and copied it out from beginning to end. Subsequently he got hold of a volume of the Philosophical Transactions of the Royal Society of London, which he treated pretty much in the same summary way, making a very full and minute abstract of all the mathematical papers contained in it; and this course he pursued...
Page 41 - In physics we have produced a Franklin, than whom no one of the present age has made more important discoveries, nor has enriched philosophy with more, or more ingenious solutions of the phenomena of nature.

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