 | Euclides - 1874 - 342 pages
...eyual to two right angles (Ax. 1). Wherefore, if a straight line, &c. QED PROPOSITION 30. — Theorem. Straight lines which are parallel to the same straight line are parallel to each other. Let the straight lines AB, CD, be each of them parallel to EF. Then shaU AB be also parallel... | |
 | Richard Wormell - 1876 - 268 pages
...greater base, shall be greater than the angle contained by the sides equal to them, of the other. 4s 30. Straight lines which are parallel to the same straight line are parallel to one another. . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities of two equal... | |
 | Francis Cuthbertson (geometer.) - 1876 - 102 pages
...straight lines which cut one another cannot be parallel to the same straight line. . PROPOSITION XV. Straight lines which are parallel to the same straight line are parallel to one another. AB Let the straight lines A and B be each of them parallel to C. Then shall A and B be parallel to... | |
 | Henry Major - 1876 - 784 pages
...Composition. — Write from memory the substance of the passage read to yon by the Inspector. Euclid. — 1. Straight lines which are parallel to the same straight line are parallel to each other. 2. If the square described upon one of the sides of a triangle be equal to the squares... | |
 | J. G - 1878 - 408 pages
...of intersection of these planes shall be parallel to each of the twogiven straight lines. Or : — Straight lines which are parallel to the same straight line are parallel to one another. (See Euclid XI., 9.) Or : — If a straight line is parallel t& two planes it is also parallel to their... | |
 | Āryabhaṭa - 1878 - 100 pages
...angles are equal, therefore AB and CD are parallel (P. 7). Wherefore if a straight line &c. QED Cor. Straight lines which are parallel to the same straight line are parallel to each other. PROP. ix. PROBLEIT. (E. 1. 31.) To draio through a given point a straight line parallel... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...of any acute and obtuse angle will be equal to two right angles. PROPOSITION XXVIII.—THEOREM. Two straight lines which are parallel to the same straight line are parallel to each other. r to the same straight line EF; G Let AB and CD be parallel A. -f^ B then will they be... | |
 | Moffatt and Paige - 1879 - 378 pages
...III.) .-. Remaining angle of the one=remaining angle of the other. SECTION III. (Three questions.) 1. Straight lines which are parallel to the same straight line, are parallel to one another. If the straight line, to which two others are parallel, lie between them, show that this property follows... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...bisected in that point 30. When are straight lines said to be parallel to each other ?" Prove that straight lines which are parallel to the same straight line are parallel to one another. 31. Draw a straight line through a given point parallel to a given straight line. From a given point... | |
 | Edward Harri Mathews - 1879 - 94 pages
...a greater angle. Write out the enunciations of any previous propositions employed in this proof. 3. Straight lines, which are parallel to the same straight line, are parallel to each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,... | |
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Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. 
