 | Euclid, Isaac Todhunter - 1883 - 428 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 AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals... | |
 | 1883 - 654 sider
...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 proposition the third postulate is required in describing the circles and they.-'; .>•.'... | |
 | Joseph Hughes - 1883 - 568 sider
...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 proposition the third postulate is required in describing the circles and theßrsi in... | |
 | Euclides - 1883 - 176 sider
...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 are Requests to be allowed to construct certain figures, and evidently require the... | |
 | 1883 - 836 sider
...straight and crooked would have no more meaning to him than red and blue to the Wind. 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... | |
 | Euclides - 1884 - 214 sider
...one point to any other point. IL That a terminated straight line may be produced to any length in a straight line. III. And that a circle may be described...centre, at any distance from that centre. AXIOMS. I. Magnitudes which are equal to the same magnitude, are equal to one another. II. If equals be added... | |
 | Stewart W. and co - 1884 - 272 sider
...other point. II. That a terminated straight line may be produced to any length in a straight line. III. That a circle may be described from any centre, at any distance from that centre. AXIOMS. I. Things equal to the same are equal to one another. II. If equals be added to equals, the wholes are equal.... | |
 | 1884 - 862 sider
...any length in a straight line [plane through intersecting lines may be produced beyond these lines]. III. And that a circle may be described from any centre at any distance from that centre [a cone about any axis with any angle at the vertex]. AXIOMS. X. Two straight lines cannot inclose... | |
 | Euclides - 1884 - 182 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. In Postulate 2, ' produced ' means lengthened out. In Postulate 3, ' described ' means drawn. After... | |
 | Euclid, John Casey - 1885 - 340 sider
...is the centre of the circle ACE, BC is equal to BA. Hence we have proved. AC = AB, and BC = AB. But things which are equal to the same are equal to one another (Axiom i.) ; therefore AC is equal to BC ; therefore the three lines AB, BC, CA are equal to one another.... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
