| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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. AXIOMS. I. Things which are equal to the same or equal things, are equal to one another. II. If... | |
| Euclides - 1846 - 292 pages
...POSTULATESLet it be granted, i. That a straight line may be drawn from any one point to any 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.... | |
| Euclides - 1847 - 128 pages
...do not meet. POSTULATES. Let it be granted, 1. 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** : and 3. That a circle may be described from any centre, at any distance from that centre. A postulate... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...remark or observation made upon something going before it, and may require a demonstration or may not. **Axioms. 1. Things which are equal to the same thing are equal to one another. 2.** When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders... | |
| Euclides - 1848 - 52 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.** HI. And that a circle may be described from any centre at any distance from that centre. AXIOMS. I.... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...V. PROBLEMS. Postulates. 1. A straight line may be drawn from any one point to any other point. 2. **A terminated straight lin.e may be produced to any length in a straight line. 3.** From the greater of two straight lines, a part may be cut off equal to the less. 4. A circumference... | |
| Euclid, Thomas Tate - 1849 - 120 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.** m. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. i.... | |
| Euclides - 1852 - 152 pages
...POSTULATES. L LET .it be granted that a straight line may be drawn from any one point to any 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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** are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken... | |
| Euclides - 1853 - 146 pages
...POSTULATES. Let it be granted that a straight line may be drawn from any one point to any 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.... | |
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