| Scottish school-book assoc - 1845 - 444 sider
...there be added the equal _.< CDB and ABD, the whole ZADC will be = the whole ZABC. QED Cor. 1. The lines which join the extremities of two equal and...parallel straight lines towards the same parts, are themselves equal and parallel. and ABD hare two sides, CD and DB of the one = two AB and DB in the... | |
| Euclid, John Playfair - 1846 - 334 sider
...drawn at 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...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... | |
| Great Britain. Admiralty - 1846 - 128 sider
...equals take away all the int. /. s, .*. all the ext. £_ s= 4 rt. £_ s. PROP. XXXII. THEOR. 33. iKu. The straight lines which join the extremities of two...same parts, are 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... | |
| Great Britain. Admiralty - 1846 - 128 sider
...these equals take away all the int. /_ s, all the ext. Zs=4rt. /.s. PROP. XXXII. THEOR. 33. iBu. TIie straight lines which join the extremities of two equal...same parts, are 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... | |
| Euclides - 1846 - 292 sider
...also parallels, and joined towards the same parts by the straight lines BE, CH : But straight B OF o lines which join the extremities of two equal and...parallel straight lines towards the same parts, are themselves equal and parallel (1. 33) ; therefore EB, CH are both equal and parallel, and EBCH is a... | |
| Euclides - 1847 - 128 sider
...K, L, M, N = four rt. /'. Wherefore, if the sides &c. — QED ' PROP. XXXIII. THEOR. GEN. ENUN. — The straight lines, which join the extremities of...parallel straight lines towards the same parts, are themselves also equal and parallel. PAKT. ENUN. — Let AB, CD be = and || st. lines, and let them... | |
| Euclides - 1848 - 52 sider
...the sides successively hi the same direction, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities...same parts, are also themselves equal and parallel. PROP. XXXIV. THEOREM. The opposite sides and angles of parallelograms are equal to one another, and... | |
| Euclid, Thomas Tate - 1849 - 120 sider
...right angles; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...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... | |
| 1851 - 590 sider
...of the next theorem. The theorem is that of Euclid, " Straight lines which join the extremities of equal and parallel straight lines towards the same parts, are also themselves equal and parallel ;" and the corollary is, " It is also plain that the opposite sides of a parallelogram are equal, for... | |
| 1851 - 580 sider
...ot the next theorem. The theorem is that of Euclid, " Straight lines which join the extremities of equal and parallel straight lines towards the same parts, are also themselves equal and parallel ;" and the corollary is, " It is also plain that the opposite sides of a parallelogram are equal, for... | |
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