 | Elias Loomis - 1877 - 458 σελίδες
...into three equal parts ; to find two mean proportionals between two given lines, etc. Postulates. 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. From the greater... | |
 | Euclides - 1877 - 58 σελίδες
...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 - 450 σελίδες
...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 - 142 σελίδες
...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 - 146 σελίδες
...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 - 428 σελίδες
...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 - 282 σελίδες
...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... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...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 - 790 σελίδες
...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 - 426 σελίδες
...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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
