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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
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The first two books of the Elements of Euclid, with additional figures ...

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...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

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...
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Euclid's Elements of geometry, books i. ii. iii. iv

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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

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

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

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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

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...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

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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