 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 - 234 pages
...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 - Trigonometry - 1827 - 546 pages
...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 - Euclid's Elements - 1828 - 542 pages
...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 - Geometry - 1829 - 210 pages
...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... | |
 | Military art and science - 1831 - 618 pages
...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 - Geometry - 1830 - 584 pages
...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 - Euclid's Elements - 1835 - 336 pages
...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 circle... | |
 | Euclid - 1835 - 540 pages
...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 may be produced to any length in a straight line. III. And that... | |
 | Mathematics - 1835 - 684 pages
...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... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
