| John Playfair - Euclid's Elements - 1806 - 311 pages
...angles right angles. XXIX. All other four sided figures besides these are called ziums. Book I. XXX. . 1 **Parallel straight lines are such as are in the same...being 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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...xxxiy. Book i. AH other four sided figures, besides these, are called trape- *- .v— i ziums. XXXV. **Parallel straight lines are .such as are in the same...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... | |
| Robertson Buchanan - Gearing - 1808 - 164 pages
...line, which passes through a point in the circumference without cutting it. 114 10. Parallel right **lines are such as are in the same plane, and which, being** continued ever so far either way, never meet. 11. The term perpendicular is the same with square, as... | |
| William Nicholson - 1809
...perceive that his axiom is by any means self-evident upon Euclid'« definition which he retains, ri:. **Parallel straight lines are such as are in the same...axiom, by means of a new definition. It may at first** night be thought that the objection urged by Playfair against the definition in T. Simpeon's first... | |
| William Nicholson - Natural history - 1809
...ways do not meet. A more in telhgible, and we think an equally rigid, demonstration of the properly **of parallels, may be obtained without any axiom, by...first sight be thought that the objection urged by** I'layUir against the definition in T. SimpKir's first edition, must equally hold against oars; but... | |
| John Mason Good - 1813
...ligures besides these, are called trapeziums. 35. Parallel straight lines, are si:ch as are in the «ams **plane, and which, being produced ever so far both ways, do not meet.** Pottalalfi. — 1 . Let it b* granted that a straight line ir.ay be drawn froir. any one point to any... | |
| John Gummere - Plane trigonometry - 1814 - 346 pages
...as BDE, Fig. 4. 11. An obtuse angle is that which is greater than a right angle, as ADE, Fig. 4. 13. **Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet,** as AB, CD, Fig. 5. 13. A figure is a space bounded by one or more lines. 14. A plane triangle is a... | |
| Charles Butler - Mathematics - 1814
...segment is called a semi-circle. From the 20th to the 29th inclusive, may stand as at present. 30. **Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet.** 3 1 . A parallelogram is a four-sided figure, of which the opposite sides are parallel. 32. The diameter... | |
| Euclides - 1814
...angles right angles. XXXIV. All other four-sided figures besides these, are called Trapeziums. 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... | |
| Euclides - Euclid's Elements - 1816 - 528 pages
......,../ ." ,.-' A XXXIV. Boo* I. All other four-sided figures besides these, are called Trapeziums. XXXV. **Parallel straight lines, are such as are in the same...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... | |
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