 | Moffatt and Paige - 1879 - 428 pages
...its angles right angles. 34. All other four-sided figures besides these are called Trapeziums. 35. Parallel straight lines are such as are in the same...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 Sharpless - Geometry - 1879 - 282 pages
...cannot enclose space; neither can they coincide in any two points without coinciding altogether. 4. Parallel straight lines are such as are in the same plane, and being produced ever so far both ways do not meet. 5. A surface is that which has length and breadth... | |
 | 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... | |
 | 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... | |
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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. 
