| Euclides - 1846
...3. That a circle can be described from any centre, with any radius. COMMON NOTIONS, OR AXIOMS. 1 . **Things which are equal to the same are equal to one another.** 2. If equals be added to equals, the wholes will be equal. 3. If from equals, equals be taken, the... | |
| Euclides - 1847
...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** : and 3. That a circle may be described from any centre, at any distance from that centre. A postulate... | |
| J. D. Morell - 1847
...judgments, as we have seen in our analysis of Locke, are at first particular and concrete. The axiom, " **things which are equal to the same are equal to one another,"** never suggests itself to a child's mind ; and yet as soon as reason is developed enough to observe... | |
| Euclides - 1848
...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.** HI. And that a circle may be described from any centre at any distance from that centre. AXIOMS. I.... | |
| Bengal council of educ - 1848
...but belong to a higher and larger science. As examples of such axioms he gives that of mathematics, " **things which are equal to the same are equal to one another,"** which can equally well be applied to logic, thereby insinuating that the observations of " philosophia... | |
| Bengal (India) - 1848
...but belong to a higher and larger science. As examples of such axioms he gives that of mathematics, " **things which are equal to the same are equal to one another,"** which can equally well be applied to logic, thereby insinuating that the observations of "philosophia... | |
| Euclid, Thomas Tate - 1849 - 108 sider
...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 from any centre, at any distance from that centre. AXIOMS. i.... | |
| Elias Loomis - 1849 - 226 sider
...V. PROBLEMS. Postulates. 1. A straight line may be drawn from any one point to any other point. 2. **A terminated straight lin.e may be produced to any length in a straight line.** 3. From the greater of two straight lines, a part may be cut off equal to the less. 4. A circumference... | |
| Oliver Lorenzo Barbour, New York (State). Supreme Court - 1849
...uninfluenced by the demonstration of the simplest problem in Euclid, and to which the axiom, " that **things which are equal to the same are equal to one another,"** would be too abstruse for comprehension. The judgment and the note were familiar. and their relation... | |
| 1849
...be paid as well as yours, and I should have d£20,000 a-year instead of 4s. a-day; becanse you see **things which are equal to the same are equal to one another.'** The Spectator, of April 28, 1849, says — '"Genins" consists in a special capacity for some particular... | |
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