 | Robert Rawson - 1856 - 178 頁
...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 - 1856 - 168 頁
...of the system. The definitions of parallel straight lines, and of a plane surface, are as follows : Parallel straight lines are such as are in the same plane, and being produced ever so far both ways do not meet. A plane surface is that in which any two points being... | |
 | Elias Loomis - 1857 - 242 頁
...one which is less than a right angle. 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 pi-oduced ever so far both ways, do not meet. 13. A plane figure is a plane terminated on all sides... | |
 | Elias Loomis - 1858 - 256 頁
...one which is less than a right angle. An obtuse angle is one which is greater than a right angle. 12. Parallel straight lines are such as are in the same...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... | |
 | Euclides - 1858 - 248 頁
...Greek tables, at which the master sat at the broad end, that he might be seen by all his guests. ' 35. Parallel straight lines are such as are , in the same...being produced ever so far both ways, do not meet; as AB, y, CD. ' l' " """ ~D The least objectionable of the many definitions proposed, from which we... | |
 | Robert Potts - 1860 - 380 頁
...angles right angles. XXXIV. AH other four-sided figures besides these, are called Trapeziums. XXXV. Parallel straight lines are such as are in the same...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,... | |
 | Euclides - 1860 - 288 頁
...exterior angle; thus ACD (see fig. Prop. xvii. Book I.) is an exterior angle of the triangle ABC. 34. Parallel straight lines are such as are in the —...being produced ever so far both ways, do not meet. * 35. A straight line cutting or falling upon two parallel lines is called a secant, as EF. 36. The... | |
 | Elias Loomis - 1861 - 244 頁
...which is less than a right angle. An obtuse angle is one which : s greater than a right angle. 12. Parallel straight lines are such as are in the same...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... | |
 | Theophilus Parsons - 1861 - 500 頁
...of two finite 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,... | |
 | Euclides - 1862 - 172 頁
...angles right angles. XXXIV. All other four-sided figures besides these, are called Trapeziums. XXXV. 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... | |
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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. 
