 | Edward Atkins - 1877 - 72 σελίδες
...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. Tilings which are equal to the same thing are equal to one another. 2. If equals be added to equals... | |
 | Ebenezer Cobham Brewer - 1877 - 854 σελίδες
...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 - 360 σελίδες
...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... | |
 | James Bowling Mozley - 1878 - 470 σελίδες
...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,... | |
 | Joseph Gostwick - 1878 - 528 σελίδες
...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... | |
 | Euclides - 1879 - 146 σελίδες
...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 - 428 σελίδες
...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 - 660 σελίδες
...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 - 798 σελίδες
...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 Harper - 1881 - 798 σελίδες
...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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
