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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 ... - Σελίδα 80
των Robert Simson - 1804
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 σελίδες
...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 to the...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...

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

John Playfair - 1806 - 320 σελίδες
...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...

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

Euclid - 1810 - 554 σελίδες
...equal c 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;...the angle ADE is equal to the angle CDE, for each {41 of them is a right angle; therefore the base AE is equal f to the base EC: but AE was shown to...

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

Euclides - 1816 - 588 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...(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...

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

John Playfair - 1819 - 350 σελίδες
...(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...

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

Euclid, Robert Simson - 1821 - 514 σελίδες
...because AD is equal to DC, and DE common to the triangles ADE,CDE,thetwosidesAD,DEareequaltothetwoCD, 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 (4. 1.) to the base EC: but AE was shown to be equal...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...(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...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...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...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...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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