| Euclides - 1852
...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 is parallel to CD. For, if it be not parallel, AB and CD being produced shall meet either towards... | |
| Euclides - 1853
...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 is parallel to CD. / V For, if it be not parallel, AB and CD being produced, shall meet either... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...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 is parallel to CD. For, if it be not parallel, AB and CD being produced shall meet either towards... | |
| Euclides - 1862
...Prop. I. 16; def. 34.) Hypothesis. — Let the straight line EF, which falls upon the two straight **lines AB, CD, make the alternate angles AEF, / EFD, equal to one another.** / Sequence. — AB shall be parallel / to CD. AB/ B Hypothesis.— (II.) For if AB / ^ and CD be not... | |
| Euclides - 1864
...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.** Then AB shall be parallel to CD. For, if AB be not parallel to CD, then AB and CD being produced will... | |
| Euclides - 1865
...parallel. (References— Prop. I. 16; def. 35.) Let the straight line EF, which falls upon the two straight **lines, AB, CD, make the alternate angles, AEF, EFD, equal to one another.** Then AB shall be parallel to CD. AE/ B CONSTRUCTION For, if AB be not parallel to CD, AB and CD being... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 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** : AH shall be parallel to CD. For if not, AB and CD, being produced, will meet either towards B, D... | |
| Robert Potts - 1868 - 410 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** anothei Then AB shall be parallel to CD. For, if AB be not parallel to CD, then AB and CD being produced... | |
| Henry Major - Student teachers - 1873
...these two straight lines shall beparallel. 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... | |
| Euclides - 1874
...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** : AB shall be parallel to CD. / 2 For if it be not parallel, AB and CD being pro1 duced, will meet... | |
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