 | 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... | |
 | Euclides - 1845 - 546 pages
...the figure are equal to four right angles, (ax. 2.) PROPOSITION XXXIII. THEOREM. The straight lints which join the extremities of two equal and parallel...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
...trisected by describing an equilateral triangle on one of the lines containing the right angle. f PROP. XXXIII. THEOB. — The straight lines which join the...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... | |
 | Alexander Jamieson - Mechanics - 1845 - 572 pages
...construction, CF is equal and parallel to AH, PB and AH to PE, CF is also equal and parallel to PE ; but straight lines which join the extremities of two equal...parallel straight lines towards the same parts, are themselves equal and parallel ; wherefore EF is equal and parallel to PC, and the figure PEFC is a... | |
 | Scottish school-book assoc - 1845 - 444 pages
...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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...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
...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...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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...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 lines AC,... | |
 | Euclides - 1846 - 292 pages
...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 pages
...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... | |
| |
THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
