 | Joseph Wollman - 1879 - 120 pages
...they may be produced ; therefore the complete definition is — parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet SECTION II. 1. If the equal sides of an isosceles triangle be produced, the angles on the other side... | |
 | Euclides - 1879 - 146 pages
...have two opposite sides parallel are often called trapezoids.] 35. Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways do not meet. 36. A parallelogram is a four-sided figure, of which the opposite sides are parallel. 37. The diameter... | |
 | Moffatt and Paige - 1879 - 428 pages
...other four-sided figures besides these are called Trapeziums. 35. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. Let it be granted (1) That a straight line may be drawn from any one point to any other... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...towards F, H. In the same manner it may be shewn that they do not meet towards E, G. But straight lines which are in the same plane, and which being produced ever so far both ways do not meet are parallel ; therefore EF\s parallel to GH. Wherefore, if two parallel planes &c. QE-D. PROPOSITION... | |
 | J. Hornsby Wright - Asylums - 1881 - 258 pages
...II. Of Parallel Activities. JARALLEL lines," saith Euclid (but I quote from memory), " are such as are in the same plane, and which being produced ever so far both ways do not meet." Fain would I see the twin Christian activities, — zeal for souls, and zeal for bodies, — -do likewise.... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...trupezold. BOOK 1. — POSTULATES — AXIOMS XXXV. Parallel straight lines are such as — — ire in the same plane, and -which being produced ever so far both ways do not meet. The meaning of this definition is, that the space between the lines is always of the same breadth.... | |
 | Charles Scott Venable - 1881 - 380 pages
...greater than a right angle, is an obtuse angle. 1 2. Parallel straight lines are such as are in -A. 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 by lines. If the lines are straight, the space... | |
 | Marianne Nops - 1882 - 278 pages
...consider them attentively. The definition referred to tells us that ' parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet ' — that is, they always remain at exactly the same distance apart. In the various theorems which... | |
 | Education - 1882 - 676 pages
...rectilineal figure contained by more than four equal straight lines. Parallel straight I'nes are such as are in the same plane, and which being produced ever so far both ways do not meet. An axiom is a proposition so simple that the truth of it is admitted without proof. 2. Prop. 6, Book... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...towards F, H. In the same manner it may be shewn that they do not meet towards E, G. But straight lines which are in the same plane, and which being produced ever so far both ways do not meet are parallel; therefore EF is parallel to GH. EUCLID'S ELEMENTS. PROPOSITION 17. THEOREM. If two ttraight... | |
| |
Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. 
