| James McCosh - Intuition - 1882 - 472 pages
...put in the form of maxims: "A straight line may be drawn from any one point to any other point ;" "A **straight line may be produced to any length in a straight line** ;" " There may be such a figure as a circle, that is, a plane figure such that all straight lines drawn... | |
| Education - 1883 - 658 pages
...Which of them are required in the construction of the first proposition ? The postulates are : — **(2) That a terminated straight line may be produced...from any centre at any distance from that centre.** In the first proposition the third postulate is required in describing the circles and they.-'; .>•.'... | |
| Joseph Hughes - Education - 1883 - 578 pages
...postulates. Which of them are required in the construction of the first proposition ? The postulates are :— **(2) That a terminated straight line may be produced...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... | |
| Euclides - 1883 - 176 pages
...consecutive. Postulates. 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...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... | |
| Mathematical association - 1883 - 86 pages
...POSTULATES. Let it be granted that 1. A straight line may be drawn from any one point to any other point. 2. **A terminated straight line may be produced to any length in • a straight line. 3.** A circle may be described from any centre, with a radius equal to any finite straight line. SECTION... | |
| Euclides - 1884 - 182 pages
...I demand. POSTULATES. 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...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 - 434 pages
...AXIOMS. 11 POSTULATES. 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** either way. 3. That a circle may be described with any centre, and at any distance from that centre.... | |
| Stewart W. and co - 1884 - 272 pages
...POSTULATES. I. Let it be granted that a straight line may be drawn from any one point to any 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... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...CONSTRUCTION. Let it be granted that 1. A straight line may be drawn from any one point to any other point. 2. **A terminated straight line may be produced to any length in a straight line. 3.** A circle may be drawn with any centre, with a radius equal to any finite straight line. DEF. 41. A... | |
| American periodicals - 1884 - 860 pages
...point [line through the eye] to any other puint [plane determined by two lines through the eye]. II. **That a terminated straight line may be produced to any length in a straight line** [plane through intersecting lines may be produced beyond these lines]. III. And that a circle may be... | |
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