| Robert Simson - Trigonometry - 1804
...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
...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 - 528 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 - 317 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 - 372 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** ať. other ; AB is parallel to CD. For, if it be not parallel, AB and CD being produced shall meet... | |
| Euclides - 1826
...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 - 180 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 - 513 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 - 513 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 - 390 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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