| 1858
...have a gayer or gladder aspect. Mr. Smith's only justification here is a mathematical one : that as **things which are equal to the same are equal to one another,** and both blossoms and tears have been likened to a shower of rain, therefore blossoms may always be... | |
| 1852
..."Yes." " And the three baskets three days too?" "Yes." Well, thought I, if it be a true axiom that **things which are equal to the same are equal to one another,** then a grape vine and a basket are identical ! So, finding the rabbinical logic of this poor deluded... | |
| Euclides - 1852
...a circle may be described from any centre, with any distance from that centre as radius. 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 from equals, the remainders... | |
| Euclides - 1853 - 147 sider
...POSTULATES. L 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...centre. AXIOMS. I. Things which are equal to the same** thing are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals... | |
| Euclid, John Playfair - 1853 - 317 sider
...other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. **And that a circle may be described from any centre, at any distance from that centre.** v • ,V AXIOMS. 1 . THINGS which are equal to the same thing are equal to one another. 2. If equals... | |
| Euclides - 1853
...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.... | |
| Joseph Hughes - 1883
...Which of them are required in the construction of the first proposition ? The postulates are :— (2) **That a terminated straight line may be produced to any length in a straight line.** (3) And that a circle may be described from any centre at any distance from that centre. In the first... | |
| 1883
...Which of them are required in the construction of the first proposition ? The postulates are : — (2) **That a terminated straight line may be produced to any length in a straight line.** (3) And that a circle may be described from any centre at any distance from that centre. In the first... | |
| Euclides - 1883 - 96 sider
...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. That a circle may be described from any centre, at any distance from that centre. These Postulates... | |
| Euclid, Isaac Todhunter - 1883 - 400 sider
...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 a circle may be described from any centre, at any distance from that centre AXIOMS. 1.... | |
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