| Euclides - 1842 - 320 pages
...twice 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...towards the same parts by the straight lines AC, BD** ; AC, BD are also equal and parallel. Join в,c ; and because AB is parallel to CD, and вc meets them,... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...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 and parallel...towards the same parts by the straight lines AC, BD;** AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... | |
| Education - 1844 - 688 pages
...other. 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 - Geometry - 1845 - 218 pages
...the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOB. — The straight lines **which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD** ; AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... | |
| Scottish school-book assoc - 1845 - 434 pages
...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... | |
| Alexander Jamieson - Mechanics - 1845 - 578 pages
...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 and 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... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...triangle on one of the lines containing the right angle. f PROP. XXXIII. THEOB. — The straight 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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 and parallel...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 - 130 pages
...the int. /. s, .*. all the ext. £_ s= 4 rt. £_ s. PROP. XXXII. THEOR. 33. iKu. The straight lines **which join the extremities of two equal and parallel...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 - 332 pages
...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 and parallel...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,... | |
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