 | Euclides - 1855 - 270 pages
...and the other pair not, the figure is called a trapezoid. XXXV. Parallel straight lines are such as are in the same plane, and which - . being produced ever so far both ways do not meet. The meaning of this йейпШьп is, that the space between the lines is always of the same breadth.... | |
 | Robert Rawson - 1856 - 178 pages
...four-sided figures besides these, are called Trapeziums. XXXV. Parallel straight linos are such as arc in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. r Let it be granted, that a straight line may be drawn from any one point to any other... | |
 | Euclides - 1858 - 248 pages
...angle is greater than either of the interior opposite angles. Def. 35. Parallel st. lines are such as are in the same plane, and which being produced ever so far both ways do not meet. EXP. 3 D.35,Ax.l2 4 Pst. 1. 1 C. & Hyp. 2 P. 4. 3 Sub. 4 5 Ax. 3. P. 4. .6 Add. 7 8 9 Ax. 2. Const.... | |
 | Elias Loomis - 1858 - 256 pages
...An obtuse angle is one which is greater than a right angle. 12. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. 13. A. plane figure is a plane terminated on all sides b} lines either straight or curved. If the lines... | |
 | Theophilus Parsons - 1859 - 514 pages
...right lines, which constitutes their parallelism. According to Euclid, parallel right lines are such as are in the same plane, and which, being produced ever so far, both ways, do not meet. This is not a definition of the position of two finite right lines, which constitutes their parallelism,... | |
 | Robert Potts - 1860 - 380 pages
...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. A. A parallelogram is a four-sided figure, of which the opposite side* are parallel : and the diameter,... | |
 | Theophilus Parsons - 1861 - 500 pages
...lines, -which constitutes their parallelism. According to Euclid, parallel right lines are such as are in the same plane, and which, being produced ever so far, both ways, do not meet. This is not a definition of the position of two finite right lines, which constitutes their parallelism,... | |
 | Elias Loomis - 1861 - 244 pages
...An obtuse angle is one which : s greater than a right angle. 12. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. 13. A. plane figure is a plane terminated on all sides lines either straight or curved. If the lines... | |
 | Euclides - 1862 - 172 pages
...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 to any other... | |
 | Euclides - 1863 - 74 pages
...^ • j. along opposite to each.Other), are such as t are in . .; the same plane, arid which i)eing produced ever so far both ways, do not meet; as AB, CD. - C • D The least objectionable definition'is that which, as Potts says (p. 50), " simply expresses... | |
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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. 
