 | James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...kinds of magnitudes, and not necessarily restricted, as are the Postulates, to geometrical magnitudes. AXIOMS. I. Things which are equal to the same thing are equal to one another. II. If equals he added to equals, the wholes are equal. III. If equals be taken from equals, the remainders are equal.... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...Postu1ates. 1. Let it be granted that a straight line may be drawn from any point to any 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, with a radius equal to any given line. Axioms.... | |
 | Moffatt and Paige - 1879 - 428 pages
...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. (3) That a circle may be described from any centre, at any distance from that centre. AXIOMS. (1) Things... | |
 | Euclides - 1879 - 146 pages
...POSTULATES. 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. 3. That a circle may be described from any centre, at any distance from that centre. AXIOMS. 1. Things... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 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. The Postulates... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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 : 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS.... | |
 | Marianne Nops - 1882 - 278 pages
...three Euclid asks : — 1. ' That a straight line may be drawn from any one point to any other.' 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.' Postulates 4... | |
 | James McCosh - Intuition - 1882 - 472 pages
...put in the form of maxims: "A straight line may be drawn from any one point to any other point ;" "A straight line may be produced to any length in a straight line ;" " There may be such a figure as a circle, that is, a plane figure such that all straight lines drawn... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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 : 3. And that a circle may be described from any centre, at any distance from that centre AXIOMS. 1.... | |
 | Euclides - 1883 - 176 pages
...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. 3. That a circle may be described from any centre, at any distance from that centre. These Postulates... | |
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LET it be granted 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. 3. And that a circle may be described from any centre, at any distance from... 
