| Timothy Walker - Geometry - 1829 - 158 pages
...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. 3.** Le.t it be granted that a circle may be described from any centre, at any distance from that centre.... | |
| Timothy Walker - Geometry - 1829 - 129 pages
...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.** i « f 3. Let it be granted that a circle may be described from any centre, at any distance from that... | |
| English literature - 1829 - 430 pages
...convenient to substitute for it. How do you reconcile the admission of Euclid's postulate, " that a **straight line may be produced to any length in a straight line,** 1 ' with the neces-, I. «*_ xy — x + y, II. 3x* — 2xy + y 3 — 4>x — 4y + 3 = 0. III. x>=xy... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...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 greater of two straight lines, a part may be cut off equal to the less ; and 4thly,... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...be produced to any length in a right line. 3. That a circle may be described from any centre, See N. **at any distance from that centre. AXIOMS. 1. Things, which are equal to the same,** are equal io one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken... | |
| John Claudius Loudon, Edward Charlesworth, John Denson - Natural history - 1834 - 698 pages
...book marks an epoch in the progress of natural history in Britain. One of Euclid's postulates is, " **a circle may be described from any centre, at any distance from that centre:"** so, in nature, there is not an object which may not become the centre of a thousand associating circumstances.... | |
| Euclid - 1835 - 540 pages
...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 a circle may be described from any centre, at any distance from that centre. AXIOMS.... | |
| Mathematics - 1835 - 684 pages
...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 greater of two straight lines, a part may be cut off equal to the less ; and 4thly,... | |
| John Playfair - Geometry - 1837 - 332 pages
...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...centre. AXIOMS. 1 . THINGS which are equal to the same** thing are equf.l to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals... | |
| Euclid - Geometry - 1837 - 410 pages
...abbreviated expression, meaning the ^auje as in draw a straight line from one of them to the other. **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.* AXIOMS. 1. Things... | |
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