 | Joseph Wollman - 1879 - عدد الصفحات: 120
...different planes may not meet however far they may be produced ; therefore the complete definition is — parallel straight lines are such as are in the same...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... | |
 | Isaac Sharpless - 1879 - عدد الصفحات: 282
...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 - 1880 - عدد الصفحات: 426
...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 - 1880 - عدد الصفحات: 178
...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 - 1881 - عدد الصفحات: 258
...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 - 1881 - عدد الصفحات: 236
...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 - عدد الصفحات: 380
...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 - عدد الصفحات: 278
...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... | |
 | 1882 - عدد الصفحات: 676
...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 - عدد الصفحات: 176
...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. 
