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 ... - Page 80by Robert Simson - 1781 - 466 pagesFull view - About this book
| Euclid, John Keill - Geometry - 1723 - 436 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... | |
| Euclid, John Keill - Geometry - 1733 - 446 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... | |
| 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... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...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... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...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... | |
| 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 equal to... | |
| 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 be equal... | |
| Alexander Ingram - Trigonometry - 1799 - 374 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... | |
| Robert Simson - Trigonometry - 1804 - 528 pages
...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... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...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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