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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 - Σελίδα 4
των Euclides - 1853 - 147 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Logic, Inductive and Deductive: An Introduction to Scientific Method

Adam Leroy Jones - 1909 - 304 σελίδες
...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...

More Pages from a Journal: With Other Papers

William Hale White - 1910 - 303 σελίδες
...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...

Mysticism in Modern Mathematics

Hastings Berkeley - 1910 - 264 σελίδες
...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...

Success in Literature

William Morris Colles, Henry Cresswell - 1911 - 350 σελίδες
...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...

Plane Geometry

Clara Avis Hart, Daniel D. Feldman - 1911 - 303 σελίδες
...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...

Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 188 σελίδες
...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...

Applied Strict Counterpoint

Charles Herbert Kitson - 1916 - 100 σελίδες
...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...

Winston's Cumulative ... Encyclopedia: A Comprehensive Reference Book, Τόμος 8

1918 - 540 σελίδες
...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...

Filosofiske meddelelser, Τόμος 1

Kongelige Danske videnskabernes selskab - 1920
...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...

Winston's Cumulative Loose-leaf Encyclopedia: A Comprehensive ..., Τόμος 8

Thomas Edward Finegan - 1922 - 556 σελίδες
...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...




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