| John Mason Good, Olinthus Gilbert Gregory - 1819
...34. All other four sided figures besides thtsf, are called trapeziums. 35. Parallel straight line«, **are such as are in the same plane, and which, being produced ever so far both ways, do not meet.** Poitultii.ii. — 1. Let it be granted that a straight line may be drawn from any one point to lay... | |
| William Nicholson - 1821
...perceive that his axiom is by any means self-evident upon Euclid's definition, which he retains, via. **Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet.** A more intelligible, and we think an equally rigid demonstration of the property of parallels may be... | |
| William Jillard Hort - 1822
...called the hypothenuse. An obtuse angled triangle is that which has one obtuse angle. Parallel right **lines are such as are in the same plane, and which, being produced ever so far both ways,** will never meet. Every plane figure, bounded by four right lines, is called a quadrangle, or quadrilateral.... | |
| Robertson Buchanan - 1823 - 588 Seiten
...having more than four sides. The term is seldom applied to figures that have less than five sides. 63. **Parallel straight lines are such as are in the same plane, and which, being** continued ever so far either way, never meet. 64. The word perpendicular is the same with square, as... | |
| Peter Nicholson - 1825 - 372 Seiten
...its angles right angles. 34. All other four-sided figures besides these, are called Trapezinms. 35. **Parallel straight lines, are such as are in the same...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... | |
| 1826
...This is no uncommon source of difficulty. Euclid's definition of parallel lines is as follows : — " **Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet."** In this definition it is taken for granted that two straight lines can be so situated. My definition... | |
| Robert Simson - 1827 - 513 Seiten
...four-sided figures besides these, are called trapeziums. XXXV. Parallel straight lines are such ns **are 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... | |
| Euclid, Dionysius Lardner - 1828 - 324 Seiten
...the term trapezium to those quadrilaterals which have two sides parallel. (38) XXXV. Parallel right **lines are such as are in the same plane, and which, being produced** continually in both directions, would never meet. It should be observed, that the circumstance of two... | |
| Thomas Curtis - 1829
...than a right angle. Fig. 5. 9. An ACUTE ANGLE is that which is less than a right angle. 'Fig. 6. 10. **PARALLEL STRAIGHT LINES are such as are in the same...which being produced ever so far both ways do not meet** Fig. 7. 11. A FIGURE is that which is enclosed by one or more boundaries. 12. RECTILINEAL FIGURES are... | |
| John Bonnycastle - 1829 - 252 Seiten
...is a quadrilateral, whose sides are all equal, but its angles not right angles.* 35. Parallel right **lines are such as are in the same plane, and which...being produced ever so far both ways, do not meet.** 36. A parallelogram is a quadrilateral whose opposite sides are parallel. 20 PRACTICAL GEOMETRY. 37.... | |
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