| James McCosh - 1882 - 451 Seiten
...definitions and in the propositions founded on them, such as the following, 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... | |
| Euclid, Isaac Todhunter - 1883 - 400 Seiten
...certainly be convenient if this restriction were universally adopted.] 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 in a straight line : 3. And that... | |
| Joseph Hughes - 1883
...Which of them are required in the construction of the first proposition ? The postulates 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... | |
| 1883
...Which of them are required in the construction of the first proposition ? The postulates 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... | |
| Euclides - 1883 - 96 Seiten
...quadrilateral, or any two angles of a polygon not 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 line may be produced to any length in a straight line. 3. That a circle... | |
| Mathematical association - 1883
...Two straight lines that have two points in common lie wholly 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... | |
| Stewart W. and co - 1884
...GLASGOW : J. MENZIBS AND CO. / ;f. Stctefs Specific Subjects. ZEJTJOLIID. [FIBST YEAE.] POSTULATES. I. **Let it be granted that a straight line may be drawn...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... | |
| 1884
...one 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... | |
| Euclides - 1884
...quadrilateral ABCD. sides \ Book I.] DEFINITIONS, POSTULATES, 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... | |
| Euclides - 1884
...called 'Postulates,' which is from a Latin word postulo, 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 line may be produced to any length in a straight line. 3. And that a... | |
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