| William Alexander Myers - Circle-squaring - 1874 - 207 pages
...db 1/JK 2 — - cos. 2J.t And cos. JL === ± 1/12 2 — sin. 2A 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... | |
| James McCosh - Intuition - 1874 - 484 pages
...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... | |
| Edward Atkins - 1876 - 130 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... | |
| Robert Potts - Geometry - 1876 - 446 pages
...the diameter, or the diagonal is the straight line joining two of its opposite angles. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. n. . That a terminated straight line may be produced to any length in » straight line. in.... | |
| Richard Wormell - 1876 - 268 pages
...point of bisection. 3. An angle has one and only one bisector. 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...straight 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... | |
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