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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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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...thefe two ftraight lines mall be parallel. Let the ftraight line EF which falls upon the two ftraight 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 fhall meet either towards...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volum 5

William Nicholson - 1809
...straight lines will be parallel. Let the straight line EF, (fig. 6) whifk falls upon the two straight .lines AB, CD, make the alternate angles AEF, EFD equal to one another, tlien AB is parallel to C D. If not, through E draw GH parallel to C D. Then the alternate angle GEF...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...these two straight lines shall be parallel. Let the straight line EF, which falls upon thetwo 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 - 1819 - 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 he not parallel, AB and CD being produced shall meet either towards...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 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 a». other ; AB is parallel to CD. For, if it be not parallel, AB and CD being produced shall meet...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...parts BD. In like manner we may demonstrate they do not meet Let the right line EF falling upon the two right lines AB, CD, make the alternate angles AEF, EFD, equal to one another; the right line AB is parallel to CD. For if it is not parallel, A y B AB, CD, being produced will meet...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...equal to one another, the right lines will be parallel, Let the right line EF falling upon the two right lines AB, CD, make the alternate angles AEF, EFD, equal to one another; the right line AB is parallel to eD. For if it is not parallel, A_JjZ-n лв, en, being produced will...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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 it be not parallel, AB and CD being pro<1uced will meet either...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 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 Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 sider
...proposition by superposition . and also by producing BA and BC, instead of cutting off parts of them. 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, will meet either towards...
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