| Charles Butler - 1814
...opportunity of practical as well as mental improvement. 83. Postulate 1. If it be granted, that " a straight **line may be drawn from any one point to any other point,"** it follows as an evident consequence, that a straight line can be drawn from the point A to the point... | |
| Euclides - 1816 - 528 sider
...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... | |
| John Playfair - 1819 - 317 sider
...produced ever so far both ways, do not meet. • V POSTULATES. " 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... | |
| Frederick Beasley - 1822 - 561 sider
...a right line, as that the first postulate is true, which requires it to be granted, that a straight **line may be drawn from any one point to any other point?** Does a recurrence to the postulate render the matter any more clear or incontrovertible? The same remark... | |
| 1854
...intelligible to ordinary minds on the threshold of science. Postulates.— 1. Let it be granted that a right **line may be drawn from any one point to any other point.** 2. That a terminated right line may be produced to any length in a right line. 3. And that a circle... | |
| Edward Riddle - 1824 - 551 sider
...cannot both be parallel to the same straight line. POSTULATES. 1. Let it be granted that a straight **line may be drawn from any one point to any other point.** 2. That a straight line may be produced to any length in the same direction. 3. That a circle may be... | |
| Peter Nicholson - 1825 - 372 sider
...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. That a circle... | |
| Euclid - 1826 - 180 sider
...being infinitely produced either way, do not meet one another.* POSTULATES. 1. Grant, that a right **line may be drawn from any one point to any other point.** 2. That a finite right line may be produced directly forwards. 3. That a circle may be described with... | |
| Robert Simson - 1827 - 513 sider
...being produced ever so far both ways, do not meet. POSTULATES. I. L.et it be granted that a straight **line may be drawn from any one point to any other point.** If. That a terminated straight line may be produced to any length in a straight line. III. And that... | |
| Euclid, Dionysius Lardner - 1828 - 324 sider
...to attend to the latter criterion of parallelism. POSTULATES. (39) I. Let it be granted that a right **line may be drawn from any one point to any other point.** (40) II. Let it be granted that a finite right line may be produced to any length in a right line.... | |
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