 | 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),... | |
| |
Let it be granted that a straight line may be drawn from any one point to any other point. 
