| Euclides - 1862
...XXXV. Parallel straight lines, are such as are in the same plane, and which being produced ever so **far both ways do not meet. 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... | |
| 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
...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
...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
...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 circle may be described... | |
| Horatio Nelson Robinson - 1865 - 444 sider
...the solution of which is self-evident. POSTULATES. Let it be granted — I. That a straight line can **be drawn from any one point to any other point ; II. That a** straight line can be produced to any distance, or terminated at any point ; III. That the circumference... | |
| 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... | |
| Edward Clarke Lowe - 1866
...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... | |
| |