 | 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.... | |
 | Mathematical association - 1883 - 86 pages
...POSTULATES. Let it be granted that 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in • a straight line. 3. A circle may be described from any centre, with a radius equal to any finite straight line. SECTION... | |
 | Biography - 1883 - 836 pages
...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... | |
 | Stewart W. and co - 1884 - 272 pages
...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. III. That a circle may be described from any centre, at any distance from that centre. AXIOMS. I. Things... | |
 | Euclides - 1884 - 182 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. In Postulate... | |
 | American periodicals - 1884 - 862 pages
...point [line through the eye] to any other puint [plane determined by two lines through the eye]. II. That a terminated straight line may be produced to any length in a straight line [plane through intersecting lines may be produced beyond these lines]. III. And that a circle may be... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...CONSTRUCTION. Let it be granted that 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in a straight line. 3. A circle may be drawn with any centre, with a radius equal to any finite straight line. DEF. 41.... | |
 | Stephen Thomas Hawtrey - 1884 - 184 pages
...Postulate 1.—That a straight line may be drawn from any one point to any other point: Postulate 2.—That a terminated straight line may be produced to any length in a straight line: Postulate 3.—That a circle maybe described from any centre at any distance from that centre. In other... | |
 | Mathematical association - 1884 - 146 pages
...CONSTRUCTION. Let it be granted that 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in a straight line. 3. A circle may be drawn with any centre, with a radius equal to any finite straight line. H 2 BOOK... | |
 | Euclides - 1884 - 214 pages
...bisected. Postulate 1. A straight line may be drawn from any one point to any other point. ' ' Postulate 2. A terminated straight line may be produced to any length in a straight line. Proposition III. From the greater of two given straight lines a part may be cut off equal to the less.... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
