 | Euclides - 1841 - 378 pages
...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 towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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 lines, towards the same parts, are also themselves equal and parallel. Let AB, CD, be equal and parallel straight lines, and joined towards... | |
 | Euclides - 1842 - 320 pages
...right angles as 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 parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | Education - 1844 - 688 pages
...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 the... | |
 | Alexander Jamieson - Mechanics - 1845 - 578 pages
...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...the same parts, are themselves equal and parallel ; wherefore EF is equal and parallel to PC, and the figure PEFC is a parallelogram, of which the diagonal... | |
 | Scottish school-book assoc - 1845 - 434 pages
...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...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 other, and the contained /.CDB... | |
 | Euclid - Geometry - 1845 - 218 pages
...angles are equal to four right angles. PROPOSITION XXXIII. THEOB. — 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... | |
 | Euclides - 1845 - 544 pages
...equal to four right angles, (ax. 2.) PROPOSITION XXXIII. THEOREM. The straight lints 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... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...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... | |
 | Euclides - 1846 - 292 pages
...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...the same parts, are themselves equal and parallel (1. 33) ; therefore EB, CH are both equal and parallel, and EBCH is a parallelogram, and it is equal... | |
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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. 
