| Ebenezer Cobham Brewer - 1877
...drawn from one point to another. 2. That a straight line may be produced to any required length. 3. **That a circle may be described from any centre, at any distance from that centre.** Lat. postulatorius, postulutum, postulare (poseo, to demand). Poetare, pSs'.tchur, attitude, position;... | |
| Edward Augustus Freeman - 1877 - 315 sider
...which he cannot prove, but which he deems can abundantly prove themselves. With those who deny that **things which are equal to the same are equal to one another** the geometer does not argue. With such an one he has no common ground for argument. So neither can... | |
| Joseph Gostwick - 1878 - 472 sider
...need a man care for a stock ? ' — SHAKESFEABE. ' What needs my Shakespeare ? ' — MILTON. (a) ' **Things which are equal to the same are equal to one another."** ' A stitch in time saves nine." ' Homer gives an account of the battle.' ' Milton describes the fall... | |
| James Bowling Mozley - 1878
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that **things which are equal to the same are equal to one another** to actual things, we should first have to ascertain the fact that the two things were exactly equal,... | |
| Euclides - 1879
...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. AXIOMS.** 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals... | |
| Moffatt and Paige - 1879
...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. AXIOMS.** (1) Things that are equal to the same thing, are equal to one another. (2) If equals be added to equals,... | |
| Aristotle, Walter Mooney Hatch - 1879 - 589 sider
...instincts resulting from education. (lJ 'Induction' or 'mental association' applies to such cases as that **'things which are equal to the same are equal to one another'** — a truth which we can prove by bringing forward certain numbers and quantities. Induction being... | |
| Thomas Harper - 1881 - 6 sider
...Principle in order of reduction. PROLEGOMENON I. The Law of equality is usually expressed in this wise : **Things which are equal to the same are equal to one another.** Here, at length, a Principle is set before us, which seems to carry on its front a capacity for becoming... | |
| Thomas Henry Huxley - 1879 - 208 sider
...straight and crooked would have no more meaning to him, than red and blue to the blind. The axiom, that **things which are equal to the same are equal to one another,** is only a particular case of the predication of similarity ; if there were no impressions, it is obvious... | |
| Christian evidence society - 1879
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that **things which are equal to the same are equal to one another** to actual things, we should first have to ascertain the fact that the two things were exactly equal,... | |
| |