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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: Also the Book of Euclid's Data ...cor. viz. The ... - Page 80
by Robert Simson - 1804
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...(6. 1.) to 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 ;...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 : but AE was shewn to be...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...equal to EB : And, because AD is equal to CD, and DE common to the triangles ADE, CDE, the two sides 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 angle — therefore the base AE is equal to the base CE : But EA was shewn to be equal to...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...(r. 6.)toEA: 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;...angle ADE is equal to the angle CDE, for each of them is a right angle; therefore the base AE is equal (i. 4.) to the base EC : But AK was shown to be equal...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...(6. I.) to 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 ;...angle ADE is equal to the angle CDE for each of them is a right ( Constr.) angle; therefore the base AE is equal (4. i.) to the base EC : But AE was shown...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...(i. 6) to e a. 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 ;...angle ade is equal to the angle cde, for each of them is a right angle; therefore the base ae is equal (i. 4) to the base ec : but ae was shewn to be equal...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...equal to 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;...angle ADE is equal to the angle CDE, for each of them is (Constr.) a right angle ; therefore (I. 4.) 2. The base AE is equal to the base EC: but AE was shown...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...EB : (l. 6.) 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...angle ADE is equal to the angle CDE for each of them is a right angle ; (constr.) therefore the base EA is equal to the base EC: (l. 4.) but EA was shewn...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...DC, and DE common to the triangles ADE and CDE, tlie two sides AD and DE are equal to the two CD and 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 to the base EC (I. 4) ; but AE was shewn to be equal...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...(i. 6) and in the triangles ADE, CDE, because AD is equal to DC, and DE common to both, the two sides 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 angle ; (constr.) therefore the base AE is equal to the base EC ; (i. 4) but AE was shown...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...two triangles ADE, CDE; 3. The two sides AD, DE, are equal to the two sides CD, DE, each to each; 4. And the angle ADE is equal to the angle CDE, for each of them is a right angle; (const.) 5. Therefore the base EA is equal to the base EC. (I. 4.) 6. But EA was...
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