 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...83. THEOREM. The straight lines which join the extremitie* 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 be joined towards the same parts by the straight... | |
 | Stewart W. and co - 1884 - 272 pages
...XXXIII. — The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal...meets them, the alternate angles ABC, BCD, are equal ; and because AB is equal to CD, and BC common to the two triangles ABC, DCB, the two AB, BC, are equal... | |
 | Euclides - 1884 - 182 pages
...— THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal...joined towards the same parts by the straight lines AC, SS. Then AC, BD shall be equal and parallel. Join BC. Then, because AB is parallel to CD, and BC meets... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...prove that the sides AC, BD are equal and parallel. CONSTRUCTION. Draw one of the diagonals BC. PROOF. Because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal. (Prop. 29.) Because in the triangles ABC, DCB, AB is equal to DC, and BC to CB, and the angle ABC to... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...equal, BACto BDC andABD toACD ; and (3) the diagonal BC bisects the area of the parallelogram. PROOF. Because AB is parallel to CD, and BC' meets them, the alternate angles ABC, BCD are equal. (Prop. 29.) And because AC is parallel to BD, and BC meets them, the alternate angles ACB, CBD are... | |
 | Seymour Eaton - 1899 - 362 pages
...straight lines AC and BD; then AC and BD shall be equal and parallel. .8 Construction : Join BC. Proof: Because AB is parallel to CD and BC meets them, the alternate angles ABC, BCD are equal (Proposition 29). And because AB is equal to CD and BC is common to the two triangles ABC, DCB, the... | |
 | 130 pages
...which join the ends which lie in the same direction of two equal and parallel straight lines are also equal and parallel. Let AB, CD be equal and parallel straight lines, the ends A, C being in £ _»B the same direction ; / --,,---'"" / to prove that AC is equal and parallel... | |
 | Euclid - 1845 - 336 pages
...Straight lines which join the corresponding ends of two equal and parallel straight lines are also equal and parallel. Let AB, CD be equal and parallel straight lines, A, C being . corresponding ends ; B ,--•''/ to prove that AC is equal and parallel " / toBD. / Join... | |
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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. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight... 
