| Euclides - 1842 - 320 pages
...(A.) A trapezium having two, only, of its sides parallel to one another is now called a trapezoid. **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... | |
| William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842
...be done, or to be imagined to be done. The postulates given by Euclid are the following : — 1 . Л **line may be drawn from any one point to any other point.** 2. A line may be produced (that is, continued or lengthened) at pleasure to any length. 3. A circle... | |
| James Bates Thomson - Geometry - 1844 - 237 pages
...problems, while axioms are self-evident theorems. Geometers usually enumerate three postulates. 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 any circle... | |
| Euclides - 1845 - 544 pages
...parallel : and the diameter or the diagonal is the straight line joining two of its opposite angles. **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. And that... | |
| Euclid - Geometry - 1845 - 218 pages
...lines, are such as are in the same plane, and which, being produced ever so far both ways, do not meet. **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. And that... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...only the parts into which it is divided by a diameter, that are called semicircles. POSTULATES* 1. **Let it be granted, that a straight line may be drawn from any one point, to any other point** : f 2. That a terminated straight line may be produced to any length in a straight line : , 3. That... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. **POSTULATES. I. Let it be granted, that a straight...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. AXIOMS.... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...straight lines are such as are in the ! plane, and which being produced ever so i both ways, do not meet. **POSTULATES. I. Let it be granted, that a straight...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. AXIOMS.... | |
| John Playfair - Euclid's Elements - 1846 - 332 pages
...are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. 1. **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... | |
| Euclides - 1846 - 292 pages
...same plane, and, being produced ever so far both ways, do not meet. POSTULATESLet it be granted, i. **That a straight line may be drawn from any one point to any other point** : n. That a terminated straight line may be produced to any length in a straight line : in. That a... | |
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