 | Ebenezer Cobham Brewer - English language - 1877 - 854 pages
...assuming without proof. Postulant, pos'.tu.lunt (a term in dialectics, &c.) The Postulates of Euclid are : Let it be granted 1. That a straight line may be drawn from one point to another. 2. That a straight line may be produced to any required length. 3. That a circle... | |
 | Āryabhaṭa - 1878 - 100 pages
...sides equal and all its angles right angles. XXIII. Parallel straight lines are such as are in the samo plane, and which being produced ever so far both ways do not meet. XXIV. A parallelogram is a four-sided figure of •which the opposite sides are parallel, aud the diagonal... | |
 | 1878 - 500 pages
...produced, they are said to make an angle with each other, or to contain or to include an angle." " Parallel straight lines are such as are in the same plane, and do not meet, however far produced." We should prefer to say that " an angle is the measure of the difference... | |
 | James Maurice Wilson - 1878 - 450 pages
...Enunciate the centra-positives of Theorems 9 and 18. SECTION III. PARALLELS AND PARALLELOGRAMS. Def. 35. Parallel straight lines are such as are in the same plane and being produced to any length both ways do not meet. Axiom 5. Two straight lines that intersect one... | |
 | Euclides - 1879 - 146 pages
...trapeziums. [Four-sided figures which have two opposite sides parallel are often called trapezoids.] 35. Parallel straight lines are such as are in the same...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... | |
 | Joseph Wollman - 1879 - 120 pages
...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 - 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.... | |
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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. 
