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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: With Dissertations Intended to Assist and Encourage ... - Page 88
by Euclid, James Williamson - 1781 - 309 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...becaufe AD is equal to DC, and DE common, the two Sides AD, DE, are each equal to the two Sides CD, DE; and the Angle ADE is equal to the Angle CDE; for each is a Right one. Therefore the Bafe AE is equal to the Bafe EC. But AE has b.een prov'd to be equal to EB. Wherefore...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...becaufe AD is equal to DC, and DE common, the two Sides AD, DE, are each equal to the two Sides CD, DE; and the Angle ADE is equal to the Angle CDE; for each is a Right one. Therefore the Bafe AE is equal to the Bafe E C. But AE has been proved to be equal to E B. Wherefore...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...equal c to EA. and becaufe AD is equal to DC, and DE common to the triangles ADE, CDE, the two fide? AD, DE are equal to the two CD, DE, each to each ;...the angle ADE is equal to the angle CDE, for each of them is a right t. 4. i. angle ; therefore the bafe AE is equal f to the bafe EC. but AE; was fhewn...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...A. And becaufe AD is equal to D c, and DE is common, the two fides AD, DE are equal to the two fides CD, DE, each to each, and the angle ADE is equal to the angle c DE ; for each of them is a right angle : Therefore [by 4. i.] the bafe AE is equal to the bafe E...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...equal c to EA : And becaufe AD is equal to DC, and DE common to the triangles ADE, CDE, the two fides AD, DE are equal to the two CD, DE, each to each ;...the angle ADE is equal" to the angle CDE, for each of them is a right angle ; therefore the bafe AE is equ.tl f to the bafe EC : But \E was fhewn to be...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...common to the triangles ADE, CDE, the two fides AD, DE are equal to the two CD, DE, each to teach; and the angle ADE is equal to the angle CDE, for '•each of them is a right angle ; therefore the bafe AE is equal f to the bafe EC : But AE was fhewn to be...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...and DE common to the 'triangles ADE, CDE, the two fides AD, DE are equal to the two CD, DE, each td each ; and the angle ADE is equal to the angle ,CDE, for each of them is a right angle ; therefore the bafe AE is . equai f to the bafe EC * but AK was fliewn to...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...And becaufe AD is equal e *3to DC, and DE common to the triangles ADE, CDE, the two i. c 6 ** fides AD, DE are equal to the two CD, DE, each to each ; and the angle ADE is equal to CDE, for each of them is a right angle ; therefore the bafe AE is equal i to EC : But AE was Jhewn...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...equal e to E A. and becaufe AD is equal to DC, and DE common to the triangles ADE, CDE, the two fides AD, DE are equal to the two CD, DE, each to each ;...the angle ADE is equal to the angle CDE, for each .of them f. 4. i. is a right angle ; therefore the bafe AE is equal f to the bafe EC. but AE was fhewn...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...equal f to EA : and becaufe AD is equal to DC, and DE common to the triangles ADE, CDE, the two fides AD, DE are equal to the two CD, DE, each to each ;...the angle ADE is equal to the angle CDE, for each of them is a right angle ; therefore the bafe AE is equal g to the bafe EC : bur AE was fhewn. to be...
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