 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...be taken with it) and the compass. The postulates that allow the use of these instruments are: (1) A straight line may be drawn from any one point to any other point. (2) A sect may be produced to any length in that line. (3) A circumference may be described with any point... | |
 | Adam Leroy Jones - Logic - 1909 - 334 pages
...list: " Things which are equal to the same thing are equal to one another " ; and as a postulate : " A straight line may be drawn from any one point to any other point." " All right angles are equal to one another " has sometimes been classed as an axiom and sometimes... | |
 | William Hale White - 1910 - 320 pages
...between Patmos and Skinner Street, but the first postulate of Euclid's elements holds good universally, 'that a straight line may be drawn from any one point to any other point.' NOTES Ille velutfidis arcana sodalibus olim Credebat libris. — HOR. Sat, ll. i. 30. NOTHING is more... | |
 | Hastings Berkeley - Mathematics - 1910 - 279 pages
...only, but is it to say anything in essence different from what Euclid says in the first postulate, that a straight line may be drawn from any one point to any other point ? Personally I find no essential difference between the two ; but this is no doubt due to the unusual... | |
 | William Morris Colles, Henry Cresswell - Literary Criticism - 1911 - 368 pages
...to say last. ' Let it be granted,' says a great writer (though not one distinguished in fiction) ' that a straight line may be drawn from any one point to any other point ' ; only you must have the other point to begin with, or you can't draw the line." When the beginning... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...line. The word line, unqualified, is understood to mean straight line. 24. Straight line postulate. A straight line may be drawn from any one point to any other. 25. Draw a straight line AB. Can you draw a second straight line from A to li ? If so, where will every... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...moved from one position to another without change of size or shape. 15. Straight line postulate I. A straight line may be drawn from any one point to any other. 16. Straight line postulate II. A line segment may be prolonged indefinitely at either end. 17. Revolution... | |
 | Charles Herbert Kitson - Counterpoint - 1916 - 108 pages
...postulates are of such a nature that no one could say such things cannot be granted ; for instance, that a straight line may be drawn from any one point to any other point. He simply demands what suffices to carry out his proposals. This, in Counterpoint, corresponds to the... | |
 | Kongelige Danske videnskabernes selskab - Philosophy - 1920 - 558 pages
...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... | |
 | Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - Education - 1893 - 554 pages
...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 that... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
