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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 4
von Euclides - 1853 - 147 Seiten
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Logic from a Rhetorical Point of View

Witold Marciszewski - 1994 - 312 Seiten
...calls 'requirements' and is usually rendered by 'postulates'. In Book One these are as follows. (El) A straight line may be drawn from any one point to any other point. (E2) A terminated straight line may be produced to any length in a straight line. (E3) A circle may...
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George Boole: Selected Manuscripts on Logic and its Philosophy

Ivor Grattan-Guinness, Gerard Bornet - 1997 - 236 Seiten
...the ordinary translations of the Elements of Euclid the postulates are only three in number, viz 1. Let it be granted that a straight line may be drawn from any one point of space to any other point. 2. And that a terminated straight line may be produced to any length in...
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Imagining Numbers: (particularly the Square Root of Minus Fifteen)

Barry Mazur - 2004 - 270 Seiten
...Commentaries on Euclid, the relevant discussion (in Thomas Taylor's translation) beginning with the sentence "Let it be granted that a straight line may be drawn from any one point to any other point." See Thomas Taylor, The Philosophical and Mathematical Commentary of Proclus on the First Book of Euclid's...
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