 | Euclides - 1816 - 588 pages
...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 - 354 pages
...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... | |
 | Euclid - 1822 - 222 pages
...angles right angles. 32. Rectilineal figures, which have more than four sides, are called polygons. Postulates. 1 . Let it be granted that a right line may be drawn from any one point to any other. 2. That a terminated right line may be produced any length in a right line. 3. That a circle may be... | |
 | Rev. John Allen - Astronomy - 1822 - 516 pages
...called trapeziums. POSTULATES. 1. It is required to be granted, that a right line, may hedrawn from any point to any other point. 2. That a terminated right line, may be produced at pleasure in a right line. 3. That from any point as a centre, at any distance from that centre,... | |
 | Frederick Beasley - Philosophy - 1822 - 584 pages
...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... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...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 described... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 may be described from... | |
 | Euclid - 1826 - 234 pages
...same plane, and 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 any distance... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 - Euclid's Elements - 1828 - 542 pages
...plane, it will be only necessary 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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LET it be granted that a straight line may be drawn from any one point to any other point. 
