 | Euclid, James Thomson - 1837 - 410 pàgines
...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... | |
 | Euclides - 1837 - 112 pàgines
...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 - 1838 - 434 pàgines
...all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel straight...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 pàgines
...the exterior angles are equal to four ri^ht angles. 0 PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight...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 - 1841 - 378 pàgines
...all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight...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 - 1842 - 332 pàgines
...meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight...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 (29. 1.) ;... | |
 | Euclides - 1842 - 316 pàgines
...as many right angles as there are re-entering angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel straight...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 equal... | |
 | 1844 - 688 pàgines
...3. Any two sides of a triangle are together greater than the third side. 4. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves also equal and parallel. 5. If a parallelogram and a triangle be on the same base, and between... | |
 | Euclid - 1845 - 218 pàgines
...exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOB. — The straight lines which join the extremities of two equal and parallel straight...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*; And because... | |
 | Euclides - 1845 - 546 pàgines
...figure are equal to four right angles, (ax. 2.) PROPOSITION XXXIII. THEOREM. The straight lints which join the extremities of two equal and parallel straight...towards the same parts by the straight lines AC, BD. Then AC, BD shall be equal and parallel. Join BC. Then because AB is parallel to CD, and BC meets them,... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight... 
