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" EA : and because AD is equal to DC, and DE common to the triangles ADE, CDE, the two sides AD, DE are equal to the two CD, DE, each to each ; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; therefore the base AE is equal... "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Pagina 80
door Robert Simson - 1804
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pagina’s
...(Const.), and DE is common to the two triangles ADE, CDE, The two sides AD, DE are equal to the two sides CD, DE, each to each; And the angle ADE is equal to the angle CDE, for each of them is a right angle (Const.); I Therefore the base EA is equal to the base EC (I. 4). But EA was shewn...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pagina’s
...DE is common to the two triangles ADE, CDE ; the two sides AD, DE are equal to the two sides CD,DE, each to each; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; [Construction. therefore the base EA is equal to the base EC. [I. 4. But EA was...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 pagina’s
...triangles ADE and CDE, the two sides AD and DE, are equal to the two sides CD and DE, each to each. But the angle ADE is -equal to the angle CDE, for each of them (Const.) is a right angle. Therefore the bage AE is equal (I 4) to the base fc. C. But AE was shown...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...[Construction. and DE is common to the two triangles ADE, CDE ; the two sides AD, DE are equal to the two sides CD, DE, each to each ; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; " [Construction. therefore the base EA is equal to the base EC. [I. 4. But EA was...
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Books 3-9

Euclid - 1908 - 456 pagina’s
...equal to DC, and DE is common, the two sides AD, DE are equal to the two sides CD, DE respectively ; and the angle ADE is equal to the angle CDE, for each is right ; therefore the base AE is equal to the base CE. But AE was proved equal to BE ; therefore...
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The Thirteen Books of Euclid's Elements

Euclid - 452 pagina’s
...equal to DC, and DE is common, the two sides AD, DE are equal to the two sides CD, DE respectively ; and the angle ADE is equal to the angle CDE, for each is right ; therefore the base AE is equal to the base CE. But AE was proved equal to BE ; therefore...
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