| John Playfair - 1826 - 326 Seiten
...produeed ever so far both ways, do not meet. POSTULATES. l. LET it be granted that a straight line iqay **be drawn from any one point to any other point. II. That a terminated** straight line may be produeed to any length in a straight lint. III. And that a eirele may be deseribed... | |
| Euclid - 1826 - 236 Seiten
...being infinitely produced either way, do not meet one another.* POSTULATES. 1. Grant, that a right **line may be drawn from any one point to any other point.** 2. That a finite right line may be produced directly forwards. 3. That a circle may be described with... | |
| Robert Simson - 1827 - 546 Seiten
...being produced ever so far both ways, do not meet. POSTULATES. I. L.et it be granted that a straight **line may be drawn from any one point to any other point.** If. That a terminated straight line may be produced to any length in a straight line. III. And that... | |
| Euclid, Dionysius Lardner - 1828 - 544 Seiten
...to attend to the latter criterion of parallelism. POSTULATES. (39) I. Let it be granted that a right **line may be drawn from any one point to any other point.** (40) II. Let it be granted that a finite right line may be produced to any length in a right line.... | |
| John Playfair - 1829 - 210 Seiten
...of rectilineal angles, is called Plane Geometry. 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. That a circle... | |
| Timothy Walker - 1829 - 156 Seiten
...self-evident. These cases are called postulates, and are the following : 1. Let it be granted that a straight **line may be drawn from any one point to any other point.** 2. Let it be granted that a terminated straight line may be produced to any length in a straight line.... | |
| Pierce Morton - 1830 - 584 Seiten
...for a plane, with a pen,* a ruler, and a pair of compasses, it is evident, that, first, a straight **line may be drawn from any one point to any other point** ; 2ndly, a terminated straight line may be produced to any length in a straight line ; 3dly, from the... | |
| Euclid - 1835 - 540 Seiten
...trapeziums. 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... | |
| 1835 - 684 Seiten
...for a plane, •with a pen,* a ruler, and a pair of compasses, it is evident, that, first, a straight **line may be drawn from any one point to any other point** ; 2ndly, a terminated straight line may be produced to any length in a straight line ; 3dly, from the... | |
| Euclid, James Thomson - 1837 - 410 Seiten
...angles which are together equal to two right angles. POSTULATES.* 1. Let it be granted, that a straight **line may be drawn from any one point, to any other point** :.). writers rather improperly use urcb) and chord receive their names from the bow (in Latin arcvs),... | |
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