 | 1854 - 1112 pages
...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... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...lines intersect each other, they 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 - Mathematics - 1825 - 1046 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. That a circle... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...produeed ever so far both ways, do not meet. POSTULATES. l. LET it be granted that a straight line iqay be drawn from any one point to any other point. II. That a terminated straight line may be produeed to any length in a straight lint. III. And that a eirele may be deseribed from any eentre,... | |
 | Euclid - 1826 - 234 pages
...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 - Trigonometry - 1827 - 546 pages
...in the same plane, and which 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
...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.... | |
 | Military art and science - 1831 - 618 pages
...recourse to some mechanical method for drawing a curve through them. One of Euclid's postulates is, " Let it be granted that a straight line may be drawn from any one point to any other point;" but I know of no one which snys that a curve line may be drawn through a number of points. The practical... | |
 | John Playfair - Geometry - 1829 - 210 pages
...plane figures, of straight lines, and of rectilineal angles, is called Plane Geometry. 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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
