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Books Books 1 - 10 of 54 on EA : and because AD is equal to DC, and DE common to the triangles ADE, CDE, the....  
" 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 ... - Page 80
by Robert Simson - 1804
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Logarithms - 1723 - 364 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...
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Trigonometry - 1733 - 397 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...
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 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 ;...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 to be...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclides, David Gregory - Mathematics, Greek - 1765 - 464 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, Euclid - Trigonometry - 1775 - 520 pages
...EC : And ln-caufe the angle ABE is equal to the angle BAE, the ftraight .'ine BE is equal c to EA : And becaufe AD is equal to DC, and DE common to 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 equal...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...join EC. and becaufe the angle ABE is equal to the angle BAE, the ftraight line BE is equal c to EA. and becaufe AD is equal to DC, and DE common to the...was fhewn to be equal to EB, wherefore alfo BE is equal to EC; and the three ftraight lines AE, EB, EC arc therefore equal to one another ; wherefore...
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The elements of Euclid: with dissertations intended to assist and ..., Volume 1

James Williamson - Mathematics - 1781
...line BE is equal to EA : And becaufe AD is (by conft.) equal to DC and DE common ; certainly the two AD, DE are equal to the two CD, DE each to each ;...the angle ADE is equal to the angle CDE ; for each is a right angle ; therefore alfo (by 4. i.) the bafe AE is equal to the bafe EC; but AE has been demonftrated...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 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 equal to...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 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 be equal...
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The elements of Euclid: viz. the first six books, with the eleventh and ...

Trigonometry - 1799 - 351 pages
...EA : 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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