| Timothy Walker - Geometry - 1829 - 156 pages
...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.... | |
| 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... | |
| 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...point. II. That a terminated straight line may be produced to any length in a straight line. III. And that a circle may be described from any centre,... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...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... | |
| 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... | |
| John Playfair - Euclid's Elements - 1837 - 332 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 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... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...are in the same plane, and which, being produced eyer i 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. 3. And that a circle may be described from any centre, and with any radius. AXIOMS. 1. Things which... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...supplementary. So also are two 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),... | |
| Euclides - 1838 - 264 pages
...are such as are in the same plane, and which, being produced ever so far both ways, do not meet. V POSTULATES. LET it be granted, that a straight line...point. II. That a terminated straight line may be produced to any length in a straight line. III. Anil that a circle may be described from any centre,... | |
| Robert Simson - Geometry - 1838 - 434 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...point. II. That a terminated straight line may be produced to any length in at straight line. III. And that a circle may be described from any centre,... | |
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