## The Teaching and History of Mathematics in the United States, Volumes 890-893 (Google eBook) |

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Page 93 - The surveyors, as they are respectively qualified, shall proceed to divide the said territory into townships of six miles square by lines running due north and south, and others crossing these at right angles...

Page 106 - 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 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 41 - We have supposed Mr. Rittenhouse second to no astronomer living: that in genius he must be the first, because he is self-taught. As an artist he has exhibited as great a proof of mechanical genius as the world has ever produced. He has not indeed made a world; but he has by imitation approached nearer its Maker than any man who has lived from the creation to this day.

Page 380 - 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 35 - Besides this, the faculties of the mind, like the members of the body, are strengthened and improved by exercise. Mathematical reasonings and deductions are therefore a fine preparation for investigating the abstruse speculations of the law.

Page 277 - 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 288 - He was awarded the Gold Medal of the Royal Astronomical Society in 1954.

Page 20 - Library he found by chance some books that treated of the Mathematics, and they being wholly new to him, he inquired all the College over for a Guide to instruct him that way, but all his search was in vain...

Page 43 - I have taken the liberty of sending your Almanac to Monsieur de Condorcet, Secretary of the Academy of Sciences at Paris, and member of the Philanthropic Society, because I considered it as a document to which your whole colour had a right for their justification against the doubts which have been entertained of them.