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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: With Dissertations Intended to Assist and Encourage ... - Page 88
by Euclid, James Williamson - 1781 - 309 pages

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 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...the 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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...{Construction. and DE is common to the two triangles ADE, CDE ; the two sides AD, DE are equal to the two sides CD, DE, each to each ; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; \Comtructvm. therefore the base EA is equal to the base EC, [I. 4. But EA...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...[Construction. and DE is common to the two triangles ADE, CDE ; the two sides AD, DE are equal to the two sides CD, DE, each to each ; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; [Construction. therefore the base EA is equal to the base EC. [I. 4. But...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...EB : (I. 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...the 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: (I. 4.) but EA...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...to EB (I. 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...the angle ADE is equal to the angle CDE, for each of them is a right angle (constr.) ; therefore 2. The base EA is equal to the base EC (I. 4) ; but...

Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...(Const.), and DE is common to the two triangles ADE, CDE, The two sides AD, DE are equal to the two sides CD, DE, each to each; And the angle ADE is equal to the angle CDE, for each of them is a right angle (Const.); Therefore the base EA is equal to the base EC (I. 4). But EA was...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...EB : (I. 6.) and because AD is equal to DC, and DE common to the triangle* ADE, CDE, the two sides AD, DE, are equal to the two CD, DE, each to each...the 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: (I. 4.) but EA...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...(Const.), and DE is common to the two triangles ADE, CDE, The two sides AD, DE are equal to the two sides CD, DE, each to each; And the angle ADE is equal to the angle CDE, for each of them is a right angle (Const.); I Therefore the base EA is equal to the base EC (I. 4). But EA was...