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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The Elements of Euclid - Side 8
av Euclid - 1838 - 416 sider
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...tltat is to say a terminated, straight line may be produced to any length in that straight line. 3. That a circle may be described from any centre, at any distance from that centre, that is, with a radius equal to any finite straight line drawn from the centre. NOTES ON THE POSTULATES....
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Baconiana

1904
...never yet been vouchsafed to any other human being. — Macaulay. Ages ago was laid down the axiom that things which are equal to the same are equal to one another. Let X stand for the play writer and B for the person whose surname does not appeal to "aesthetic."...
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The Grammar of Philosophy: A Study of Scientific Method

David Graham - 1908 - 383 sider
...point ; (2) that a terminated straight line may be produced to any length in a straight line ; (3) that a circle may be described from any centre at any distance from that centre, — we must at the same time grant that space is necessarily illimitable. If these postulates be not...
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The Grammar of Philosophy: A Study of Scientific Method

David Graham - 1908 - 383 sider
...other point; (2) that a terminated straight line may be produced to any length in a straight line ; (3) that a circle may be described from any centre at any distance from that centre,—we must at the same time grant that space is necessarily illimitable. If these postulates...
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The Parliamentary Debates

Great Britain. Parliament - 1904
...but acknowledgs its expediency. I would only obserie with regard to the so-called distinctions thit things which are equal to the same are equal to one another. I would ask your Lordship. to consider what ha¿ns¿ U 2 in the case of a licensed house being de-...
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Hume, with Helps to the Study of Berkeley

Thomas Henry Huxley - 1914 - 321 sider
...straight and crooked would have no more meaning to him, than red and blue to the blind. The axiom, that things which are equal to the same are equal to one another, is only a particular case of the predication of similarity; if there were no impressions, it is obvious...
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Boston Medical and Surgical Journal, Volum 67

1863
...insisted on by Mr. Lewes and others — namely, that alcohol replaced a certain amount of food ; and " as things which are equal to the same are equal to one another," he inferred that if a glass of ale was equal to a slice of mutton in its satisfying effect, and that...
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The British Journal of Dermatology (1888-1916)., Volum 3

1891
...or merely a pars minoris resistentue ? If tubercular, then they are the same in nature as lupus (as things which are equal to the same are equal to one another). But tuberculin tends to cure lupus, and tends to make chilblains worse ; hence if chilblains are tubercular...
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The Quarterly Review

William Gifford, Sir John Taylor Coleridge, John Gibson Lockhart, Whitwell Elwin, William Macpherson, William Smith, Sir John Murray IV, Rowland Edmund Prothero (Baron Ernle) - 1845
...discovery, that both languages admit of the same Erse interpretation, upon the geometrical principle that things which are equal to the same are equal to one another. This argument however depends for its validity on the accuracy of his remaining assumption, that the...
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Ophiolatreia: An Account of the Rites and Mysteries Connected With the ...

Hargrave Jennings - 1977 - 131 sider
...authority, if not possibly by the Egyptian documents yet undeciphered — which hypothesis is Euclidean. ' Things which are equal to the same are equal to one another. ' Now if the ' Mundane Egg ' be in the papyric rituals the equivalent to Sun, and that by other hieroglyphical...
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