| Seymour Eaton - 1899 - 340 pages
...straight lines shall be parallel to one another. Let the straight line EF, which falls on the two straight **lines AB, CD, make the alternate angles AEF, EFD equal to one another** ; then AB shall be parallel to CD. Construction : For if it be not parallel, AB and CD being produced... | |
| Euclid - Mathematics, Greek - 1908
...lines will be parallel to one another. For let the straight line EF falling on the two straight [' s **lines AB, CD make the alternate angles AEF, EFD equal ' to one another ; I** say that AB is parallel to CD. For, if not, AB, CD when pro- AE / B ducedwill meet either in the direction... | |
| Judith Cederberg - Mathematics - 2004 - 441 pages
...straight lines will he parallel to one another. For let the straight line EF falling on two straight **lines AB, CD make the alternate angles, AEF, EFD equal to one another; I** say that AB is parallel to CD. For, if not, AB, CD when produced will meet either in the direction... | |
| Edward Grant - Religion - 2004 - 307 pages
...opening words of Proposition 27, which assert: "For let the straight line EF falling on the two straight **lines AB, CD make the alternate angles AEF, EFD equal to one another"** (see Figure 3.1) (Euclid 1956, 1:307). Figure 3.1. Book 1, Proposition 27 of Euclid's Elements, which... | |
| Euclid
...straight lines will be parallel to one another. For let the straight line EF falling on the two straight S **lines AB, CD make the alternate angles AEF, EFD equal to one another ; I** say that AB is parallel to CD. For, if not, AB, CD when pro- AE/ B duced will meet either in the direction... | |
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