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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 ... - Side 80
av Robert Simson - 1781 - 466 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...EA ; and because AD is equal to DC, and DE common to the triangles Book III. 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 GDE, for each of them is a right angle ; therefore the base AE is equalf to the base EC. But AE was...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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

John Playfair - 1819 - 317 sider
...(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 : biit AE was shewn to be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...(6. 1.) to EA : and because AD is equal to DC, apd 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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...(23. 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 j and the angle ADE is equal to the angle CDE, for each of them is a right angle; therefore the base...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...equal to the angle BAE, the 4 6. i. right line BEd will also be equal to AE, and DE is common : the two AD, DE, are equal to the two CD, DE, each to each, and the angle ADE to the angle CDE, for each of them is a right angle. Wherefore also the base •• 4. i. BE is equal...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...is equal to the angle BAE, the right line BE d will also be equal to AE, and DE is common : the two AD, DE, are equal to the two CD, DE, each to each, and the angle ADE to the angle CDE, for each of them is a right angle. Wherefore also the base to be equal to EB : wherefore...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...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 a right f angle ; therefore the base AE is equal * to the base EC: but AE was shewn to be equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...equal r 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 g 4. 1. a right angle ; therefore the base AE is equal * to the base EC : But AE was shown to be...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...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 a right angle j therefore the base AE is equal to the base EC (I. 4) ; ]rai AE was shown to be equal...
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