| 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 - 592 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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