 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...finite straight line has one and only one point of bisection. 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... | |
 | Edward Atkins - 1877 - 72 pages
...joining two of its opposite angles. All other four-sided figures are called trapeziums. Postulates. 1. Let it be granted 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... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...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... | |
 | James Maurice Wilson - 1878 - 450 pages
...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 - Geometry, Plane - 1878 - 142 pages
...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 pages
...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 pages
...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 - Geometry - 1879 - 282 pages
...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 - Geometry - 1880 - 178 pages
...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... | |
 | English periodicals - 1880 - 790 pages
...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... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
