 | John Playfair - Mathematics - 1806 - 320 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 plane, and which, being produced ever so far both ways, do not meet. N. * POSTULATES. I. LET it be granted that a straight... | |
 | Robert Simson - Trigonometry - 1806 - 546 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 plane, and which being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line... | |
 | Robertson Buchanan - Gearing - 1808 - 216 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 used by workmen. In order to draw from a given... | |
 | William Nicholson - 1809 - 716 pages
...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 plane, and which being produced ever so far both ways do not meet. A more intelligible, and we think an equally rigid, demonstration... | |
 | John Gummere - Surveying - 1814 - 398 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 plane, and which, being produced ever so far both ways, do not meet, as AB, CD, Fig. 5. 13. A figure is a space bounded by... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...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 plane, and which, being produced ever so far both ways, do not meet. 3 1 . A parallelogram is a four-sided figure, of which... | |
 | Euclides - 1816 - 588 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 plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line... | |
 | William Nicholson - Natural history - 1821 - 402 pages
...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 plane, and which being produced ever so far both ways do not meet. A more intelligible, and we think an equally rigid demonstration... | |
 | 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 plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line... | |
 | 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 plane, and which being produced ever so far both ways do not meet. A more intelligible, and we think an equally rigid demonstration... | |
| |
Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. 
