| Euclides - 1877
...Let it be granted : 1. That a straight line may be drawn from any point to any other point. 2. That a **straight line may be produced to any length in a straight line.** 3. That a circle may be described with any centre, and at any distance from that centre. AXIOMS. 1.... | |
| James Maurice Wilson - 1878
...point of bisection. 4. An angle has one and only one bisector. POSTULATES. Let it be granted that i. **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... | |
| Thomas Hunter - 1878 - 132 Seiten
...lines which intersect each other can not both be parallel to the same straight line. Postulates. 1. **Let it be granted that a straight line may be drawn from** one point to another; 3. And that a circle may be described from any point as centre, and with any... | |
| Euclides - 1879
...given, and some remarks will be made on their nature afterwards.] 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... | |
| Moffatt and Paige - 1879
...plane, and which, being produced ever so far both ways, do not meet. 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... | |
| Isaac Sharpless - 1879 - 266 Seiten
...the sum of the lines which, bound it. The perimeter of a circle is its circumference. Postu1ates. 1. **Let it be granted that a straight line may be drawn from any** point to any other point; 2. That a terminated straight line may be produced to any length in a straight... | |
| Euclid, F. B. Harvey - 1880 - 119 Seiten
...are such as are in the same plane, and which, being continually produced, never meet. POSTULATES. 1. **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. 3. That a circle... | |
| 1880
...has its centre everywhere and its circumference nowhere. Let it be granted, says the first postulate, **that a straight line may be drawn from any one point to any other point** ; the second says, let it be granted that any finite line may be produced to any distance in the same... | |
| Isaac Todhunter - 1880 - 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... | |
| Marianne Nops - 1882
...word is translated in the old editions of Euclid, come next. In the first three Euclid asks : — 1. ' **That a straight line may be drawn from any one point to any other.'** 2. ' That a terminated straight line may be produced to any length in a straight line.' 3. ' That a... | |
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