 | John Playfair - Circle-squaring - 1819 - 350 pages
...angles right angles. XXIX. All other four sided figures besides these, are called Trapeziums. XXX. 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... | |
 | John Mason Good - 1819 - 800 pages
...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 - Natural history - 1821 - 406 pages
...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 - 308 pages
...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 - Machinery - 1823 - 440 pages
...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 - Mathematics - 1825 - 1046 pages
...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... | |
 | Science - 1826 - 628 pages
...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 - Trigonometry - 1827 - 546 pages
...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 - Euclid's Elements - 1828 - 542 pages
...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 - Aeronautics - 1829 - 814 pages
...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... | |
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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. 
