 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...bisection of a right angle, such as the half, the fourth, the eighth, of a righi angle, and so on. D THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts,8 are also themselves equal and parallel. Let AB, CO be equal and parallel straight lines, and... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...straight lines. M.—Now, alter the preceding statement in conformity with this finding. P.—The two straight lines which join the extremities of two equal and parallel straight lines in the same direction, or toward the same parts, are equal and parallel. 'P.—The opposite sides of... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...be together = 4rt. Zs. PROPOSITION XXXIII. Theorem. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are also themselves (f i> equal and parallel. Steps of the Demonstration. 1. Prove that Z ABC = Z BCD, '2. that (in A s... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal...lines AC, BD ; AC, BD are also equal and parallel. i Join BC ; and because AB is parallel to CD ; and BC meets them, the alternate angles ABC, BCD are... | |
 | Euclides - 1838 - 264 pages
...angles; therefore all the exterior angles are equal to four ri^ht angles. 0 PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal...parts, are also themselves equal and parallel. Let AH, CD be equal and parallel A t, straight lines, and joined towards the same parts by the straight... | |
 | Euclides - Geometry - 1841 - 378 pages
...angles; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal...the same parts by the straight lines AC, BD; AC, BD shall be equal and parallel. c * Join BC; and because AB is parallel to CD, and BC meets them, the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...pleasure, cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal...lines AC, BD; AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal... | |
 | Euclides - 1842 - 316 pages
...together with twice as many right angles as there are re-entering angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal...lines AC, BD ; AC, BD are also equal and parallel. Join в,c ; and because AB is parallel to CD, and вc meets them, the alternate angles ABC, BCD are... | |
 | Education - 1844 - 688 pages
...these shall be less than the other two sides of the triangle but shall contain a greater angle. 4. The straight lines which join the extremities of two equal and parallel straight lines are themselves equal and parallel. 5. Describe a square upon a given straight line. 6. If a straight... | |
 | Euclid - Geometry - 1845 - 218 pages
...therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOB. — The straight lines which join the extremities of two equal...lines AC, BD ; AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal*;... | |
| |
THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
