| Mathematical association - 1883
...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... | |
| 1883
...straight and crooked would have no more meaning to him than red and blue to the Wind. The axiom, that **things which are equal to the same are equal to one another,** is only a particular case of the predication of similarity ; if there were no impressions, it is obvious... | |
| Stewart W. and co - 1884
...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... | |
| Euclides - 1884
...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 circle may be described from any centre at any distance from that centre. In Postulate... | |
| 1884
...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... | |
| Stephen Thomas Hawtrey - 1884
...Postulate 1.—That a straight line may be drawn from any one point to any other point: Postulate 2.—That **a terminated straight line may be produced to any length in a straight line:** Postulate 3.—That a circle maybe described from any centre at any distance from that centre. In other... | |
| Euclides - 1884
...bisected. Postulate 1. A straight line may be drawn from any one point to any other point. ' ' Postulate 2. **A terminated straight line may be produced to any length in a straight line.** Proposition III. From the greater of two given straight lines a part may be cut off equal to the less.... | |
| Association for the improvement of geometrical teaching - 1884
...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.... | |
| Mathematical association - 1884
...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. H 2 BOOK... | |
| W. J. C. Miller - 1885
...that it " lies evenly between its extreme points "; but in Postulate ii. he says, " Let it be granted, **that a terminated straight line may be produced to any length in a straight line,"** and this gives us the idea of an infinite straight line. But do we require more than two infinite straight... | |
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