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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 80
των Robert Simson - 1781 - 466 σελίδες
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 364 σελίδες
...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...

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

Euclid, John Keill - 1733 - 393 σελίδες
...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...

Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 464 σελίδες
...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...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 σελίδες
...neceflary,toE, and join 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,...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...

The elements of Euclid: with dissertations intended to assist and ..., Τόμος 1

James Williamson - 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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 σελίδες
...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...

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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...was fhewn to be equal to EB, wherefore alfo BE is equai to EC; and the three ftraight lines AE, EB, EC are therefore equal fb one another ; wherefore...

Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 σελίδες
...EC : Ve a'3. t. and becaufe the angle ABE is equal to the angle BAE, the ftraight line BE is equal f to EA : and becaufe AD is equal to DC, and DE common...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 equal...




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