| Euclides - 1845 - 546 pages
...other 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 at any distance from that centre.** AXIOMS. I. THINGS which are equal to the same thing are equal to one another. II. If equals be added... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...point : f 2. That a terminated straight line may be produced to any length in a straight line : , 3. **That a circle may be described from any centre, at any distance from that centre.** J AXIOMS. 1. Things which are equal to the same, or to equals, are equal to one another. 2. If equals... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. **And that a circle may be described from any centre, at any distance from that centre.** AXIOMS. 1 . THINGS which are equal to the same thing are equal to one another. 2. If equals be added... | |
| Euclides - 1846 - 292 pages
...other point : n. That a terminated straight line may be produced to any length in a straight line : in. **That a circle may be described from any centre, at any distance from that centre.** AXIOMS. i. Things which are equal to the same are equal to one another. n. If equals be added to equals,... | |
| Euclides - 1847 - 128 pages
...point : 2. That a terminated straight line may be produced to any length in a straight line : and 3. **That a circle may be described from any centre, at any distance from that centre.** A postulate (from postulare) is a demand so reasonable that it cannot fail to be granted; or, in other... | |
| Euclides - 1848 - 52 pages
...other point. II. That a terminated straight line may be produced to any length in a straight line. HI. **And that a circle may be described from any centre at any distance from that centre.** AXIOMS. I. THINGS which are equal to the same thing are equal to one another. II. If equals be added... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...other point. II. That a terminated straight line may be produced to any length in a straight line. m. **And that a circle may be described from any centre, at any distance from that centre.** AXIOMS. i. Things which are equal to the same are equal to one another. n. If equals be added to equals,... | |
| Euclides - 1852 - 152 pages
...other point. n. 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, at any distance from that centre.** [These three postulates are equivalent in practice to allowing a pen, a ruler, and a pair of compasses.... | |
| Euclides - 1853 - 146 pages
...other point. n. That a terminated straight line may be produced to any length in a straight line. in. **And that a circle may be described from any centre, at any distance from that centre.** AXIOMS. i. Things which are equal to the same are equal to one another. H. If equals be added to equals,... | |
| Euclides - Geometry - 1853 - 176 pages
...other 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, at any distance from that centre.** AXIOMS. I. Things which are equal to the same thing are equal to one another. II. If equals be added... | |
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