| 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... | |
| William Thomas Brande, George William Cox - 1867
...assumed, or taken for granted. Euclid lias constructed his Elements on the three following postulates: 1. **That a straight line may be drawn from any one point to any other point.** 2. That a terminated straight lino may be produced to any length in a straight line. 3. That a circle... | |
| Euclid, Isaac Todhunter - 1867 - 400 Seiten
...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... | |
| William Thomas Brande, George William Cox - 1867
...assumed, or taken for granted. Euclid has constructed his Elements on the three following postulates: 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. That a circle... | |
| Euclid, Isaac Todhunter - 1867 - 400 Seiten
...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... | |
| Robert Potts - 1868 - 410 Seiten
...the diameter, or the diagonal is the straight liue 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.** IL That a terminated straight line may be produced to any length in a straight line. m. AXIOMS. I.... | |
| 1868
...certain Axioms. He tells the tyro that a point is that which hath no parts, or which hath no magnitude ; **that a terminated straight line may be produced to any length in a straight line** ; that if equals be taken from equals, the remainders are equal, and that things which are doable of... | |
| Edward Atkins - 1877
...joining two of its opposite angles. All other four-sided figures are called 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. 3. And that a... | |
| Elias Loomis - 1877 - 443 Seiten
...into three equal parts ; to find two mean proportionals between two given lines, etc. Postulates. 1. **A straight line may be drawn from any one point to any other point.** 2. A terminated straight line may be produced to any length in a straight line. 3. From the greater... | |
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