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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.
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Page 32
by Euclid, Edmund Stone - 1765 - 464 pages

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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. Then AB shall be parallel to CD. Construction. For, if AB be not parallel to CD, then AB and CD being...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...these two straight lines shall be paralkl. 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...

The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...lines, it makes the alternate angles equal. Let tho straight lino EF, which fulls 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, AB and CD being produced will...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...these two straight lines shall be parallel. 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 C D. IF o For, if AB be not parallel to CD, AB and CD, being produced,...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 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 : AB shall be parallel to CD. For if- not, AB and CD, being produced, will meet either towards B, D...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...thete two liraight linen 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. Then AB / shall be parallel to C D. ± '*- * For, if AB be not parallel to CD, AB / and CD being produced...

The Practical Teacher, Volume 1, Issue 1

Education - 1882
...The particular enunciationof 1.27 is, ' 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.' 3. Prop. 32, Bk. I. Algebra. i. Substituting figures for letters,...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...ttraight 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 : AB shall be parallel to CD. For if not, AB and CD, being produced, will meet either towards B, D...