 | John Playfair - 1806 - 320 σελίδες
...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 thai a circle may be described from any centre, at any distance from that centre. AXIOMS. ,... | |
 | David Phineas Adams, William Emerson, Samuel Cooper Thacher - 1808 - 708 σελίδες
...confound our two articles. " In the Celtic" says he, " the article an signifies the and that." But as things, which are equal to the same, are equal to one another, it is easy to prove, since an means that, and //•.- means that, that an and the are in the English... | |
 | John Mason Good - 1813 - 714 σελίδες
.... Let it b* granted that a straight line ir.ay be drawn froir. 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 irom that centre. jtiiams.—l.... | |
 | Charles Butler - 1814 - 582 σελίδες
...ACE, BC is equal to BA, by the \5th definition; therefore CA,.CB are each of them equal to AB ; but things which are equal to the same are equal to one another, by the 1st' axiom; wherefore CA and CB are equal to one another, being each equal to AB ; consequently... | |
 | 1814 - 1032 σελίδες
...contrary, they are such 35, considered separately, do not afford room for a single inference. — That things which are equal to the same, are equal to one another, and that the whole is greater than its part, considered in themselves, are mere barren truisms. The... | |
 | Euclides - 1816 - 588 σελίδες
...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...which are equal to the same are equal to one another. II. . If equals be added to equals, the wholes are equal. III. If equals be taken from equals, the... | |
 | John Greig - 1816 - 224 σελίδες
...because they divide the globe into unequal parts, called segments, as o C b and A ob B D. 2. Axioms.* 1. Things which are equal to the same, are equal to one another. * Axiom, implies a plain, self-evident troth or proposition, which is no sooner proposed but understood.... | |
 | John Playfair - 1819 - 350 σελίδες
...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...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 equate... | |
 | John Playfair - 1819 - 354 σελίδες
..." LET it be granted that a straight line may be drawn from any one point to any other point. V H. . 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.... | |
 | John Mason Good - 1819 - 800 σελίδες
...— 1. Let it be granted that a straight line may be drawn from any one point to lay other point. 5. That a terminated straight line may be produced to any length in a straight tine. 3. And that a circle maybe described from азу centre, at any distance from that centre. Aihitis.... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
