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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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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 364 sider
...oppofite Angle GH D ; or the inward Angles BGH, GHD on the fame Side together equal to two Right Angles. I fay the Right Line AB is parallel to the Right Line C D. For becaufe the Angle EGB is * equal to the An-- * tromtht gle GHD, and the Angle EGB \ equal to the An-...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1733 - 397 sider
...oppofite Angle GHD ; or the inward Angles BGH, GHD on the fame Side together equal to two Right Angles. I fay the Right Line AB is parallel to the Right Line CD. For becaufe the Angle EGB is * equal to the An- * fnm tit gle GHD, and the Angle EGB t equal to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...ftraight lines fhal! be parallel. Let the ftraight line EF which falls upon the two ftraight line* 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 mall meet either towards...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...thefe two ftraight lines fhall 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 First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...two' ftraight lines fhall 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 fliall meet either towards...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 sider
...thefe two ftraight lines fhall 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 cither towards...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 309 sider
...be parallel to one another. For let the ftraight line EF falling upon the two ftraight lines AB, CE> make the alternate angles AEF, EFD equal to one another. I fay that the Jlraight Kne AB is parallel to the ftraight line CD. For if not, AB and CD being produced...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 sider
...oppofite Angle GHD ; or the inward Angles BGH, GHD, on the fame Side together, equal to two Right Angles. I fay, the Right Line AB is parallel to the Right Line C D. • Fran ibt For becauie the Angles EGB is * equal to the An$*' rv §le GHD, and the Angle EG B f equal...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...thefe two ftraight lines lhall be parallel. Let the flraight 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 fliall meet either towards...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...two ftraight lines fliall 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, mall meet either towards...
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