| Euclides - 1862 - 140 pages
...joining two of its opposite angles. All other four-sided figures are caOed trapeziums. 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. AXIOMS. 1. Things... | |
| Euclides - 1863 - 72 pages
...straight line are necessary to fix the position of a plane." — Pott's Euclid, p. 44. 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... | |
| Euclides - 1863
...POSTULATES. '1. That a terminated straight line may be produced to any length in a straight line. 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, at any distance from that centre. AXIOMS. 1.... | |
| Euclides - 1864 - 448 pages
...parallel : and the diameter, or the diagonal is the straight line joining two of its opposite angles. **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... | |
| Robert Potts - 1865 - 528 pages
...are parallel : and a diameter, or a diagonal is a straight linn joining two of its opposite angles. **POSTULATES. I. LET it be granted, that a straight...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. m. And that a... | |
| Euclides - 1865 - 402 pages
...as are in the same plane, and which being prodnced ever so far both ways do not meet. POSTULATES. L **Let it be granted that a straight line may be drawn from any one point to any other point.** IL That a terminated straight line may be prodnced to any length in a straight line. HI. And that a... | |
| Euclides - 1865
...a concise expression for drawing a straight line from the one of them to the other. POSTULATES. 1. **Let it be granted that a straight line may be drawn from any one point to any other point.** 2. That a straight line may be produced in a straight line to any required length. 3. That a circle... | |
| Edward Clarke Lowe - 1866
...; and the diagonal is the straight line joining the vertices of two opposite angles. 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... | |
| Walter Marsham Adams - 1866
...drawing straight lines or circles, and we can only assume the power. " Let it be granted," says Euclid, " **that a straight line may be drawn from any one point to any other point,"** and " that a circle may be described," &c. As it is impossible to learn to swim without going into... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...certainly be convenient if this restriction were universally adopted.] 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 : 3. And that... | |
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