| James McCosh - 1882 - 472 Seiten
...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... | |
| Mathematical association - 1883 - 86 Seiten
...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... | |
| Euclid, Isaac Todhunter - 1883 - 428 Seiten
...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... | |
| Euclides - 1883 - 176 Seiten
...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... | |
| Stewart W. and co - 1884 - 272 Seiten
...XXXV. Parallel straight lines are such as are in the same plane, and which, being produced ever so **far both ways, do not meet. POSTULATES. I. Let it be granted that a** straight line may be drawn from any one point to any other point. II. That a terminated straight line... | |
| Euclides - 1884 - 214 Seiten
...a given point a straight line may be drawn equal to a given straight line. Postulate 1. A straight **line may be drawn from any one point to any other point.** Proposition IV. If two triangles have two sides of the one equal to two sides of the other, each to... | |
| Euclides - 1884 - 182 Seiten
...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... | |
| Euclides - 1884 - 434 Seiten
...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... | |
| Mathematical association - 1884 - 146 Seiten
...Convention is embodied in the following POSTULATES OF CONSTRUCTION. 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... | |
| Association for the improvement of geometrical teaching - 1884 - 150 Seiten
...Convention is embodied in the following POSTULATES OF CONSTRUCTION. 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... | |
| |