 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...angles are equal to four right angles. PROPOSITION 33. THEOREM. , 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 and CD be equal and parallel straight lines, and let them... | |
 | E. M. Reynolds - Geometry - 1868 - 172 pages
...which are separately equal, are equal. THEOREM XVII. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB foe equal and parallel . „ Then shall BC be equal and pa- \ „''' \ rallel to DA. \p £ Join BD.... | |
 | Robert Potts - 1868 - 434 pages
...equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. 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 - 1871 - 136 pages
...together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. 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 the equal and || st. lines AB, CD be joined towards the same... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. oo Let the equal and II st. lines AB, CD be joined towards the... | |
 | Philip Kelland - 1873 - 248 pages
...different routes. (See remark on Ex. 9.) EXAMPLES. Ex. 1. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB be equal and parallel to CD • д R to prove that AC is equal and parallel ioBD. Let vector AB be... | |
 | Philip Kelland, Peter Guthrie Tait - Quaternions - 1873 - 254 pages
...different routes. (See remark on Ex.9.) EXAMPLES. Ex. 1. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB be equal and parallel to CD • to prove that AC is equal and parallel to BD. Let vector AB be represented... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...to twice as many right angles as the figure has sides. XXXIII. — 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... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...line, which is impossible. (Lemma.) PROPOSITION XXIII. Straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB be = and || to CD. Join AC, BD. Then shall AC be = and || to BD. Join BC. Then v AB is | | to CD; .-.... | |
 | Euclides - 1874 - 342 pages
...equal to four right angles (Ax. 3). PROPOSITION 33. — Theorem. 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... | |
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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. 
