 | John Playfair - 1806 - 320 σελίδες
...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... | |
 | Robert Simson - 1806 - 546 σελίδες
...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 - 1808 - 216 σελίδες
...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 - 716 σελίδες
...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 - 1809 - 684 σελίδες
...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 - 714 σελίδες
...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 - 1814 - 398 σελίδες
...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 - 1814 - 528 σελίδες
...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 - 560 σελίδες
...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 - 1816 - 588 σελίδες
......,../ ." ,.-' 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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Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. 
