 | John Playfair - Mathematics - 1806 - 320 pages
...produced ever so far both ways, do not meet. N. * 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. HI. And thai a circle may be described... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...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... | |
 | Encyclopaedia Perthensis - 1816 - 772 pages
...Fig. 5. 9. An ACUTE ANGLE is that which is left than a right angle. F,:g. 6. 10. PARALLEL STRAIGHT LINES are fuch as are in the fame plane, and which being produced ever fo far both ways do not meet. Fig. 7. 1 1. A FIGURE is that which is inclofed by one or more boundaries. 1 3. RECTILINEAL FIGURES... | |
 | Euclides - 1816 - 588 pages
...XXXV. Parallel straight 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...XXX. Parallel straight 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
