 | Robert Simson - Trigonometry - 1804 - 530 pages
...thefe two ftraight lines mall be parallel. Let the ftraight line EF which falls upon the two ftraight lines AB, CD make the alternate angles AEF, EFD equal to one another ; AB is parallel to CD. For if it be not parallel, AB and CD being produced fhall meet either towards... | |
 | William Nicholson - Natural history - 1809 - 684 pages
...straight lines will be parallel. Let the straight line EF, (fig. 6) whifk falls upon the two straight .lines AB, CD, make the alternate angles AEF, EFD equal to one another, tlien AB is parallel to C D. If not, through E draw GH parallel to C D. Then the alternate angle GEF... | |
 | Euclides - 1816 - 588 pages
...these two straight lines shall be parallel. Let the straight line EF, which falls upon thetwo straight lines AB, CD make the alternate angles AEF, EFD equal to one another ; AB is parallel to CD. For, if it be not parallel, AB and CD being produced shall meet either towards... | |
 | John Playfair - 1819 - 354 pages
...these two straight lines are parallel. Let the straight line EF, which falls upon the two straight lines AB, CD make the alternate angles AEF, EFD equal to one another-; AB is parallel to CD. For, if it he not parallel, AB and CD being produced shall meet either towards... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...these two straight lines shall be parallel. Let the straight line EF, which falls upon the two straight lines AB, CD make the alternate angles AEF, EFD, equal to one a». other ; AB is parallel to CD. For, if it be not parallel, AB and CD being produced shall meet... | |
 | Euclides - 1826 - 226 pages
...parts BD. In like manner we may demonstrate they do not meet Let the right line EF falling upon the two right lines AB, CD, make the alternate angles AEF, EFD, equal to one another; the right line AB is parallel to CD. For if it is not parallel, A y B AB, CD, being produced will meet... | |
 | Euclid - 1826 - 234 pages
...equal to one another, the right lines will be parallel, Let the right line EF falling upon the two right lines AB, CD, make the alternate angles AEF, EFD, equal to one another; the right line AB is parallel to eD. For if it is not parallel, A_JjZ-n лв, en, being produced will... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...these two straight lines shall be parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another : AB shall be parallel to CD. For, if it be not parallel, AB and CD being pro<1uced will meet either... | |
 | Euclid - 1835 - 540 pages
...these two straight lines are parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another ; AB is parallel to CD. For, if it be not parallel, AB and CD being produced shall meet either towards... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...proposition by superposition . and also by producing BA and BC, instead of cutting off parts of them. lines AB, CD, make the alternate angles AEF, EFD equal to one another; AB is parallel to CD. For, if it be not parallel, AB and CD, being produced, will meet either towards... | |
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Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another; AB is parallel to CD. 
