| James McCosh - Intuition - 1882 - 472 pages
...nearer each other, will not, if produced ever so far, approach nearer each other ;" " All right angles **are equal to one another." Under the same head are...that the intuitive judgments pronounced by the mind** hi regard to the relations of space are all individual, and that the form assumed by them in the axioms... | |
| Marianne Nops - 1882 - 278 pages
...other.' 2. ' That a terminated straight line may be produced to any length in a straight line.' 3. ' **That a circle may be described from any centre at any distance from that centre.'** Postulates 4 and 5 refer to simple geometrical truths which are quite evident ; postulate 6 is not... | |
| Joseph Hughes - Education - 1883 - 568 pages
...are :— (2) That a terminated straight line may be produced to any length in a straight line. (3) **And that a circle may be described from any centre at any distance from that centre.** In the first proposition the third postulate is required in describing the circles and theßrsi in... | |
| Education - 1883 - 654 pages
...are : — (2) That a terminated straight line may be produced to any length in a straight line. (3) **And that a circle may be described from any centre at any distance from that centre.** In the first proposition the third postulate is required in describing the circles and they.-'; .>•.'... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...other point : 2. That a terminated straight line may be produced to any length in a straight line : 3. **And that a circle may be described from any centre, at any distance from that centre** AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added... | |
| Euclides - 1883 - 176 pages
...other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. **That a circle may be described from any centre, at any distance from that centre.** These Postulates are Requests to be allowed to construct certain figures, and evidently require the... | |
| Euclides - 1884 - 182 pages
...other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. **And that a circle may be described from any centre at any distance from that centre.** In Postulate 2, ' produced ' means lengthened out. In Postulate 3, ' described ' means drawn. After... | |
| Euclides - 1884 - 214 pages
...other point. IL That a terminated straight line may be produced to any length in a straight line. III. **And that a circle may be described from any centre, at any distance from that centre.** AXIOMS. I. Magnitudes which are equal to the same magnitude, are equal to one another. II. If equals... | |
| American periodicals - 1884 - 862 pages
...length in a straight line [plane through intersecting lines may be produced beyond these lines]. III. **And that a circle may be described from any centre at any distance from that centre** [a cone about any axis with any angle at the vertex]. AXIOMS. X. Two straight lines cannot inclose... | |
| Stewart W. and co - 1884 - 272 pages
...other point. II. That a terminated straight line may be produced to any length in a straight line. III. **That a circle may be described from any centre, at any distance from that centre.** AXIOMS. I. Things equal to the same are equal to one another. II. If equals be added to equals, the... | |
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