 | Euclides - 1871 - 136 pages
...equiangular polygon, four of whose angles are together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities...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
...equiangular polygon, four of whose angles are together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities...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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...witb four right angles, are equal to twice as many right angles as the figure has sides. XXXIII. — 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... | |
 | 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... | |
 | 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... | |
 | Euclides - 1874 - 342 pages
...interior angles, therefore all the exterior angles of the figure are equal to four right angles (Ax. 3). PROPOSITION 33. — Theorem. The straight lines which...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 - 1874 - 120 pages
...The middle point of the hypotenuse of a right angled triangle is equidistant from the three anjles. PROPOSITION 33. THEOREM. The straight lines which...parallel straight lines towards the same parts, are also themselves equal and parallel. .. Let AB and CD be equal and parallel straight ' • lines, and... | |
 | Edward Atkins - 1874 - 428 pages
...Therefore all the exterior angles are equal to four right angles (Ax. 3). Proposition 33.— Theorem. T/ie straight lines which join the extremities of two equal...parallel straight lines towards the same parts are also themselves equal and parallel. Let AB and CD be equal and parallel straight lines 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; .-.... | |
 | Edward Atkins - 1874 - 426 pages
...angles which are common ; Therefore all the exterior angles are equal to four right angles (Ax. 3). Proposition 33. — Theorem. The straight lines which join the extremities of two equal and pan-allel straight lines towards t/ie same parts are also themselves equal and parallel. Let AB and... | |
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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. 
