| John Playfair - 1806 - 320 Seiten
...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 - 1814 - 528 Seiten
...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 Seiten
...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 Seiten
...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 - 1819 - 350 Seiten
...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 Seiten
...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 - 584 Seiten
...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 - 1110 Seiten
...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 - 572 Seiten
...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 - 1046 Seiten
...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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