## The Teaching and History of Mathematics in the United States, Bände 890-893U.S. Government Printing Office, 1890 - 400 Seiten |

### Im Buch

Seite 378

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**that side on which are the angles which are less than two**right - angles . " It has been validly urged against Euclid that this statement is far from being axiomatic . But H. Hankel * has shown that Euclid himself placed this among the ...### Andere Ausgaben - Alle anzeigen

### Häufige Begriffe und Wortgruppen

algebra American analytical geometry application arithmetic astronomy Benjamin Peirce Bowditch chair of mathematics civil engineering classical College conic sections Davies demonstration descriptive geometry Differential and Integral divergent series edition elective elementary Elements English equations Euclid fessor fluxions fractions French Freshman given graduated half-year Harvard High School hours per week infinite series infinitesimal institution instruction instructor Integral Calculus John Journal Junior lectures limits logarithms Loomis's mathe mathematical course mathematical studies mathematical teaching mathematicians mathematics and natural matics method metic Nathaniel Bowditch natural philosophy Newton original exercises Peirce Philadelphia physics plane President principles problems Prof professor of mathematics professorship published pupils pure mathematics quaternions Rittenhouse Robert Adrain rules says scientific Senior solid geometry solution Sophomore spherical trigonometry success surveying taught Teacher of mathematics term text-books theorem theory tion Treatise tutor University Webber West Point William writer Yale Yale College

### Beliebte Passagen

Seite 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.

Seite 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 a document to which your whole colour had a right for their justification against the doubts which have been entertained of them.

Seite 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...

Seite 12 - The American Instructor, or Young Man's Best Companion, containing Spelling, Reading, Writing, and Arithmetick, in an easier Way than any yet published; and how to qualify any Person for Business, without the Help of a Master.

Seite 41 - 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.

Seite 10 - ... devoted land. When the destined time arrives, he enters upon action, and, as a haughty monarch ascends his throne, the pedagogue mounts his awful great chair, and dispenses right and justice through his whole empire. His obsequious subjects execute the imperial mandates with cheerfulness, and think it their high happiness to be employed in the service of the emperor. Sometimes paper, sometimes his penknife, now birch, now arithmetic, now a ferule, then ABC, then scolding, then flattering, then...

Seite 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.

Seite 20 - If so little was done at old Cambridge, then we need not wonder at the fact that new Cambridge failed to be mathematical from the start. The fountain could not rise higher than its source. It was not until the latter half of the seventeenth century that mathematical studies at old Cambridge rose into prominence.

Seite 31 - And I would advise you, my Pupils, to pursue a Regular Course of Academical Studies in some Measure according to the Order of this Catalogue. And in the First Year to Study principally the Tongues, Arithmetic and Algebra; the Second, Logic, Rhetoric and Geometry; the Third, Mathematics and Natural Philosophy; and the Fourth, Ethics and Divinity.

Seite 65 - Astronomy explained upon Sir Isaac Newton's principles, and made easy to those who have not studied Mathematics...