 | Witold Marciszewski - Language Arts & Disciplines - 1994 - 340 pages
...'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... | |
 | Barry Mazur - Mathematics - 2003 - 292 pages
...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... | |
 | Electronic journals - 1900 - 370 pages
...deformity and danger. Euclid says, lender the heading " Postulates :" "I. It is assumed, that a straight line may be drawn from any one point to any other point. '• II. And that a terminated straight line [a sect] may be produced in a straight line continually. "III.... | |
 | Benjamin Franklin Finkel - Mathematicians - 1894 - 908 pages
...Pnftnor JOHN L. LYLE, Ph, D., Westminister College, Fulton, Missouri. "Let it be granted that a straight line may be drawn from any one point to any other point" Euclid lays down the statement just quoted as his fat postulate regulative of geometrical constructions.... | |
 | Ainsworth Rand Spofford, Charles Annandale - Encyclopedias and dictionaries - 1901 - 594 pages
...has constructed his elements on the three following postulates : 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. That a circle... | |
 | London Mathematical Society - Mathematics - 1898 - 368 pages
...November 29th, 1897. Read December 9th, 1897. Euclid's postulate : " Let it be granted that a straight line may be drawn from any one point to any other point " implies the use of a ruler or straight-edge of any required finite length. The postulate is clearly... | |
 | Military art and science - 1831 - 1000 pages
...for drawing a curve through them. One of Euclid's postulates is, " Let it be granted that a straight line may be drawn from any one point to any other point;" but I know of no one which says that a curve line may be drawn through a number of points. The practical... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
