| Euclides - 1838 - 264 pages
...equal to four ri^ht angles. 0 PROP. XXXIII. THEOR. 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 AH, CD be equal and parallel A t, straight lines, and joined towards the same parts by the straight... | |
| Euclides - Geometry - 1841 - 378 pages
...equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight lines towards the same...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
...in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight lines, towards the same...meets them, the alternate angles ABC, BCD are equal (29. 1.) ; and because AB is equal to CD, and BC common to the two triangles ABC, DCB, the two sides... | |
| Euclides - 1842 - 316 pages
...there are re-entering angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel straight lines, towards the same...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... | |
| Euclides - 1845 - 546 pages
...angles, (ax. 2.) PROPOSITION XXXIII. THEOREM. The straight lints which join the extremities of two equal and parallel straight lines towards the same...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,... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...lines which join the extremities of two equal and parallel straight lines, towards the same parts, f are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, which are joined towards the same parts by the straight lines AC, BD; AC, BD are also equal and parallel.... | |
| Euclid - Geometry - 1845 - 218 pages
...opposite sides and angles of the figure are equal to one another ; and the diameter BC bisects it. Because AB is parallel to CD, and BC meets them, the alternate • ». j. angles ABC, BCD are equal* to one another ; And because AC is parallel to BD, and BC meets... | |
| Euclides - 1846 - 292 pages
...equal to four right angles. PROP. XXXIII. THBOR. The straight lines, which join the extremities uf tioo equal and parallel straight lines towards the same...Let AB, CD, be equal and parallel straight lines, joined towards the same parts by the straight lines AC, BD : AC, BD, are themselves equal and parallel.... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...£_ s= 4 rt. £_ s. PROP. XXXII. THEOR. 33. iKu. The straight lines which join the extremities of two equal and parallel straight lines to-wards the same...also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts by the str. lines AC, BD : then shall AC and BD... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...ext. Zs=4rt. /.s. PROP. XXXII. THEOR. 33. iBu. TIie straight lines which join the extremities of two equal and parallel straight lines towards the same...also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts by the str. lines AC, BD : then shall AC and BD... | |
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