| Robert Potts - 1860 - 361 sider
...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.** n. That a terminated straight line may be produced to any length in a straight line. in. And that a... | |
| Rev. James Mcosh - 1860
...the propositions founded on them, such as the following, put in the form of maxims:—" A straight **line may be drawn from any one point to any other point;"** "A straight line may be produced to any length in a straight line;" "There may be such a figure as... | |
| Euclides - 1861
...PROP. 1. — PROK. To find the centre of a given circle. SOL. — Pst. 1. Let it be granted that a st. **line may be drawn from any one point to any other point.** 10, I. To bisect a given finite st. line. 11, I. To draw a st. line at rt.¿s to a given st. line from... | |
| Euclides - 1862
...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
...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 - 1863
...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 - 1864
...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... | |
| Euclides - 1865
...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... | |
| Euclides - 1865
...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... | |
| Walter Marsham Adams - 1866
...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... | |
| |