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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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...therefore the angle ABC is equal to the 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: add the common angle ACB; then the angles ACE, ACB are equal to the angles ABC, BAC, ACB. But ABC, BAC, ACB are equal to two...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...the t 6. 6 angle ABC is equal to the 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 : Add the common angle ACB, then the angles ACE, ACB are equal to the angles ABC, BAC, ACB : t 32. i. But ABC, BAC, ACB are equal...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...therefore the angle ABC is equal to the 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 A CB, then the angles ACE, ACB are equal to the...
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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
...Therefore the angle ABC is equal to E 147 the 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 ; add the common angle ACB, then the angles ACE, ACB are equal to the angles ABC, BAC, ACB : But ABC, BAC, ACB are equal to two...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore the angle ABC is equal to the 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 : Add the common angle ACB, then the angles ACE, ACB are equal to the angles ABC, BAC, ACB : But ABC, BAC, ACB are equal to two...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...BC and CE are in a straight line. the angle DCE : And the angle BAG was proved to be equal to ACD : Therefore the whole angle ACE is equal to the two angles ABC, BAG ; add the common angle ACB, then the angles ACE, ACB are equal to the angles ABC, BAC, ACB . But...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...therefore the angle ABC is equal to the angle DCE: arid 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:(a\.2.) add to each of these equals the common angle ACB, then the angles A CE, A CB are equal...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...therefore the angle ABC is equal to the 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 and BAC ; add the common angle ACB, then the angles ACE and ACB are equal to the three angles ABC,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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 ACB, then the angles A CE, A CB are equal to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 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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