 | Edward Riddle - 1824 - 572 σελίδες
...straight lines intersect each other, they cannot both be parallel to the same straight line. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a straight line may be produced to any length in the same direction. 3. That a circle may be... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...as 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. That a circle... | |
 | Euclid - 1826 - 236 σελίδες
...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 σελίδες
...in the same plane, and which 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 σελίδες
...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 σελίδες
...plane figures, of straight lines, and 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 σελίδες
...demonstrated, because it is 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.... | |
 | 1831 - 618 σελίδες
...recourse to some mechanical method for drawing a curve through them. One of Euclid's postulates is, " Let it be granted that a straight line may be drawn from any one point to any other point;" but I know of no one which snys that a curve line may be drawn through a number of points. The practical... | |
 | Pierce Morton - 1830 - 584 σελίδες
...piece of paper 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... | |
 | John Playfair - 1835 - 336 σελίδες
...which have equal radii ; two triangles, which have all their sides equal respectively, &c. 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... | |
| |
LET it be granted that a straight line may be drawn from any one point to any other point. 
