| Royal Military Academy, Woolwich - Mathematics - 1853
...are in the same plane, and which, being produced ever so far both ways, do not meet. 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... | |
| Euclides - 1853 - 146 pages
...as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. **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 a straight line. in. And that a... | |
| Euclides - Geometry - 1853 - 176 pages
...are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. L **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 may be produced to any length in a straight line. III. And that... | |
| Euclides - Geometry - 1853 - 334 pages
...D, is the other diagonal. BCBCBC This defn., and Bk. ii. Def. i, ha?e superseded Defs. 31, 32, 33. **POSTULATES. I. Let it be granted that a straight line may be drawn from any one** given point to any other given point. II. Let it be granted that a given terminated straight line may... | |
| William Somerville Orr - Science - 1854
...axiom should be a self-evident, but at the same time an indemonstrable truth. Euclid asks us to "grant **that a straight line may be drawn from any one point to any other,"** from sheer necessity ; the apparent simplicity of the operation is in reality a cause of its difliculty.... | |
| Charles Davies - Geometry - 1854 - 436 pages
...being applied the one to the other, coincide throughout their whole extent, are equal. POSTULATES. 1. **Let it be granted, that a straight line may be drawn from** one point to another point. 2. That a terminated straight line may be prolonged. in a straight line,... | |
| John Playfair - Geometry - 1855 - 336 pages
...are in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. 1. **LET it be granted that a straight line may be drawn from any one** pomt to any other point. 2. That a terminated straight line may be produced to any length in a straight... | |
| Robert Rawson - 1856
...as arc in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. r **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 a straight line. And that a circle... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...two given points. XIV. Straight lines which are parallel to the same line are parallel to each other. **POSTULATES. I. Let it be granted that a straight line may be drawn from any** point to any other point. II. That a terminated straight line may be produced, in either direction,... | |
| Peter Nicholson - Cabinetwork - 1856 - 482 pages
...POSTULATE signifies something which may be assumed as granted. Hence it may be granted, 1st, That a right **line may be drawn from any one point to any other point** : 2dly, That a line may be produced, that is, continued or lengthened at pleasure : 3dly, That a circle... | |
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