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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 - Side 32
av Euclid - 1765 - 464 sider
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...straight lines shall he parallel. Let the straight line EF, which falls upon the two straight lilies 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, hcing produced, shall meet either towards...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...tri-o 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 produced will meet either towards...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...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 AB be not parallel to CD, AB and CD being produced will meet either...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 sider
...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...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 sider
...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 [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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. 7 > r D For, if AB be not parallel to CD, AB and CD being produced...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 sider
...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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 sider
...lines makes the alternate angles equal to one another, these two straight lines shall be parallel. 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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