| Euclid - Geometry - 1845 - 218 pages
...; therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOB. — The straight lines which join the extremities of two...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 - 382 pages
...an equilateral triangle on one of the lines containing the right angle. f PROP. XXXIII. THEOB. — The straight lines which join the extremities of two...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 - 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 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 - 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...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... | |
| 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...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... | |
| 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...parallel straight lines to-wards the same parts, are also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts... | |
| 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...parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts... | |
| 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...straight lines towards the same parts, are themselves also equal and parallel. PAKT. ENUN. — Let AB, CD be = and || st. lines, and let them be joined towards... | |
| Euclides - 1848 - 52 pages
...the sides successively hi the same direction, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities...parallel straight lines towards the same parts, are also themselves equal and parallel. PROP. XXXIV. THEOREM. The opposite sides and angles of parallelograms... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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...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... | |
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