| 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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