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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... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Side 85
av John Keill - 1782 - 399 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...common to the triangles ADE, CDE, the two fide? 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 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: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 399 sider
...Then, becaufe the Annie ABE is equal to the Angle BAE, the Right Line BE will be * tqual to* 6. i, E A. And becaufe AD is equal to DC, and DE common,...equal to the two Sides CD, DE ; and the Angle ADE is tqual to the Angle CDE ; for each is a Right one. Therefore the Bafe AE is equal to the Bafe E C. But...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...common to the triangles ADE, CDE, the two fides 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 bafe AE is equ.tl f to the bafe EC : But \E was fhewn to be...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 264 sider
...or lefs than ABD, make the angle BAE equal to ABD, and join AE, EC ; then the fide AE is equal to BE a, and becaufe AD is equal to DC, and DE common, the angles ADE, e. 4. i- CDE are right ones ; therefore the fide AE is equal to ECe ; therefore the three...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 309 sider
...conft.) equal to DC and DE common ; certainly the two AD, DE are equal to the two CD, DE each to each ; and 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 sider
...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 - 1795 - 400 sider
...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: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...and join EC. and becaufe the angle ABE is equal to the angle B AE, the ftraight line BE is 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 ; and the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...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 ; r4. 1. therefore the base AE is equal f to the base EC: but AE was shown...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...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 (4. 1.) to the base EC : biit AE was shewn...
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