 | Encyclopedias and dictionaries - 1918 - 540 pages
...a self-evident problem. Euclid 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... | |
 | Kongelige Danske videnskabernes selskab - Philosophy - 1920 - 558 pages
...next group is formed by the so-called Postulates, a, five propositions of which the three first say: Let it be granted that a straight line may be drawn from any one point to any other point, that a terminated straight line may be produced to any length in a straight line, and that a circle... | |
 | Thomas Edward Finegan - Encyclopedias and dictionaries - 1922 - 666 pages
...a self-evident problem. Euclid 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... | |
 | Education - 1893 - 562 pages
...in its deformity and danger. Euclid says, under the heading " Postulates" : "1. Let it be taken for granted, that a straight line may be drawn from any one point to any other point. "2. And that a finite straight line (a sect) may be produced in a straight line continually. "3. Also... | |
 | Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - Education - 1893 - 554 pages
...in its deformity and danger. Euclid says, under the heading " Postulates" : "l. Let it be taken for granted, that a straight line may be drawn from any one point to any other point. "2. And that a finite straight line (a sect) may be produced in a straight line continually. "3. Also... | |
 | American essays - 1859 - 784 pages
...his hand, before commencing his artistic and scientific achievements upon Jhe black-board, says : " Let it be granted that a straight line may be drawn from any one point to any other point," I invariably answer, " Of course, — by all manner of means," — although you know, dear Don, that,... | |
 | Science - 1906 - 600 pages
...elementfj> 2. Undemonstrated propositions. The postulates of Euclid are as follows. Let it be granted, 1. 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. And that a... | |
 | American Mathematical Society - Mathematics - 1896 - 420 pages
...investigate and discover nearly all that lay within their originally unconsciously imposed boundaries. " Let it be granted, that a straight line may be drawn from any one point to any other point," " let it be granted, that a circle may be described from any centre, at any distance from that centre,"... | |
 | Witold Marciszewski - Language Arts & Disciplines - 1994 - 340 pages
...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... | |
 | Ivor Grattan-Guinness, Gerard Bornet - Mathematics - 1997 - 310 pages
...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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LET it be granted that a straight line may be drawn from any one point to any other point. 
