| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...terms Rhombus and Rhomboid that of Parallelogram is often used ; and for Oblong the term Rectangle. 35. **PARALLEL STRAIGHT LINES are such as are in the same plane, and which, being** continually produced, never meet. POSTULATES. 1. Let it be granted that a straight line may be drawn... | |
| J. Hornsby Wright - Asylums - 1881 - 258 pages
...wife. CHAPTER 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
...angles.' 34. ' All other four-sided figures besides these are called trapeziums.' OF PARALLELS. 35. ' **Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet.** NOTE. — The parts of the circle enumerated in defs. 17, 18, 19, are not referred to afterwards in... | |
| Education - 1882 - 676 pages
...polygon is a 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... | |
| Education - 1883 - 654 pages
...¡tmicircle is the part of a circle cut off by a diameter. А ¡са!гяе triangle has three unequal sides. **Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet.** A f astíllate is a self-evident problem, the use of which is at once granted if required. The three... | |
| Euclides - 1883 - 176 pages
...figure which has its opposite sides equal, but not all its sides equal, nor its angles right angles. 28. **Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet.** 29. A parallelogram is a four-sided figure which has its opposite sides parallel. 30. A trapezium is... | |
| |