| Robert Simson - Trigonometry - 1806 - 518 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... | |
| Missions - 1825 - 618 pages
...but it would not submit. I would have -demonstrated it mathematically, and commenced by assuming " **that a straight line may be drawn from any one point to any other** ; " but on finding my first corollary was, " the whole is greater than its part," I left the statement,... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...to afford the student an 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 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... | |
| John Playfair - Euclid's Elements - 1819 - 333 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... | |
| John Playfair - 1819 - 317 pages
...in the same plane, and which, being 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... | |
| John Mason Good - 1819 - 740 pages
...the same plane, and which, being produced ever so far both ways, do not meet. Poitultii.ii. — 1. **Let it be granted that a straight line may be drawn from any one point to** lay other point. 5. That a terminated straight line may be produced to any length in a straight tine.... | |
| Frederick Beasley - Psychology - 1822 - 584 pages
...points may be joined together by 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... | |
| Peter Nicholson - Architecture - 1823 - 210 pages
...parallel to the same straight line, without coinciding with one another. 47. POSTULATES, OR DEMANDS. 1. **Let it be granted that a straight line may be drawn from any one point to any other.** 2. That a terminated straight line may be produced, or continued, to any length. 3. That a circle may... | |
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