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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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Errors of Speech and of Spelling, Volum 2

Ebenezer Cobham Brewer - 1877
...drawn from one point to another. 2. That a straight line may be produced to any required length. 3. That a circle may be described from any centre, at any distance from that centre. Lat. postulatorius, postulutum, postulare (poseo, to demand). Poetare, pSs'.tchur, attitude, position;...
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The Ottoman Power in Europe: Its Nature, Its Growth, and Its Decline

Edward Augustus Freeman - 1877 - 315 sider
...which he cannot prove, but which he deems can abundantly prove themselves. With those who deny that things which are equal to the same are equal to one another the geometer does not argue. With such an one he has no common ground for argument. So neither can...
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English Grammar, Historical and Analytical

Joseph Gostwick - 1878 - 472 sider
...need a man care for a stock ? ' — SHAKESFEABE. ' What needs my Shakespeare ? ' — MILTON. (a) ' Things which are equal to the same are equal to one another." ' A stitch in time saves nine." ' Homer gives an account of the battle.' ' Milton describes the fall...
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Essays, Historical and Theological, Volum 2

James Bowling Mozley - 1878
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that things which are equal to the same are equal to one another to actual things, we should first have to ascertain the fact that the two things were exactly equal,...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...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. AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...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. AXIOMS. (1) Things that are equal to the same thing, are equal to one another. (2) If equals be added to equals,...
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The Moral Philosophy of Aristotle: Consisting of a Translation of the ...

Aristotle, Walter Mooney Hatch - 1879 - 589 sider
...instincts resulting from education. (lJ 'Induction' or 'mental association' applies to such cases as that 'things which are equal to the same are equal to one another' — a truth which we can prove by bringing forward certain numbers and quantities. Induction being...
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The Metaphysics of the School: Book 4. Principles of being; Book 5. Causes ...

Thomas Harper - 1881 - 6 sider
...Principle in order of reduction. PROLEGOMENON I. The Law of equality is usually expressed in this wise : Things which are equal to the same are equal to one another. Here, at length, a Principle is set before us, which seems to carry on its front a capacity for becoming...
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Hume ...

Thomas Henry Huxley - 1879 - 208 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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Christian evidence lectures

Christian evidence society - 1879
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that things which are equal to the same are equal to one another to actual things, we should first have to ascertain the fact that the two things were exactly equal,...
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