 | John Playfair - 1819 - 350 σελίδες
...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...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... | |
 | John Playfair - 1819 - 354 σελίδες
...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. • V POSTULATES. " LET it be granted that a straight line may be drawn from any one point to any other... | |
 | William Nicholson - 1821 - 402 σελίδες
...perceive that his axiom is by any means self-evident upon Euclid's definition, which he retains, viz 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... | |
 | John Mason Good - 1819 - 800 σελίδες
...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 - 406 σελίδες
...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 σελίδες
...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 - 440 σελίδες
...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 - 1046 σελίδες
...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...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... | |
 | 1826 - 628 σελίδες
...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 - 546 σελίδες
...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 point. If.... | |
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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. 
