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" BAC was proved to be equal to ACD : Therefore the whole angle ACE is equal to the two angles ABC, BAC... "
The Elements of Euclid: In which the Propositions are Demonstrated in a New ... - Page 91
by Euclid - 1776 - 264 pages
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...therefore the angle ABC is equal to tlie angle DCE ; and the angle BAC was proved to be equal to ACD; therefore the whole angle ACE is equal to the two angles ABC, BAC ; (ax. 2.) add to each of these equals the common angle ACB, then tin angltu ACE, ACB are equal to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...therefore the angle ABC is equal to the angle DCE : and the angle BACvrss proved to be equal to ACD; therefore the whole angle ACE is equal to the two angles ABC, BAC: (ax. 2.) add to each of these equals the common angle ACB, then the angles A CE, A CB nre equal to...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...angle ABC is equal to the angle DCE; and the angle BA C was proved to be equal to ACD ; therefore 4. The whole angle ACE is equal to the two angles ABC, BAC (Ax. 2); add to each of these equals the common angle ACB, then 6. The angles ACE, ACB are equal to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...therefore the angle ABC is equal to the angle DCE: and the angle BA C was proved to be equal to A CD ; therefore the whole angle ACE is equal to the two angles ABC, BAC: (ax. 2.) add to each of these equals the common angle A CB, then the angles A CE, A CB are equal to...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...therefore the angle ABC is equal to the angle DCE. And the angle BAC was shewn equal to the angle ACD ; therefore the whole angle ACE is equal to the two angles ABC and BA C. [Axiom 2. Add the angle ACB to each of these equals; then tho angles ACE and ACB are together...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...therefore the angle ABC is equal to the angle DCE. And the angle BA C was shewn equal to the angle ACD ; therefore the whole angle ACE is equal to the two angles ABC and BAG. [Axiom 2. Add the angle ACB to each of these equals ; then the angles ACE and ACB are together...
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...therefore the angle ABC is equal to the angle DCE. But the angle ACD was also proved equal to the angle BAC; therefore the whole angle ACE is equal to the two angles ABC, BAC. Let the angle ACB be added to each ; therefore the angles ACE, ACB are equal to the angles BAC, ACB,...
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The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...therefore the angle ABC is equal to the angle DCE. But the angle A CD was also proved equal to the angle BAC; therefore the whole angle ACE is equal to the two angles ABC, BAC. Let the angle ACB be added to each ; therefore the angles ACE, ACB are equal to the angles BAC, ACB,...
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