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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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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1723 - 442 pages
...the Angle ABC is equal to the Angle DCE; but the Angle ACD has been proved to be equal to the Angle BAC; therefore the whole Angle ACE is equal to the two Angles ABC, BAC; and if ACB, which is common, be added, then the Angles ACE, ACB, are equal to the Angles BAC, ACB,...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 397 pages
...Angle ABC is equal to the Angle DCE j but the Angle ACD has been proved to be equal to the Angle BAG; therefore the whole Angle ACE is equal to the two Angles ABC, BAG ; and if ACB, which is common, be added, then the Angles ACE, ACB, are equal to the Angles BAG,...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...the Angle ABC is equal to the Angle DCE ; but the Angle ACD has been proved to be equal to the Angle BAC; therefore the whole Angle ACE is equal to the two Angles ABC, BAC; and if ACB, which is common, be added, then the Angles ACE, ACB, are equal to the Angles BAC, ACB,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 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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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 318 pages
...fides about them proportional, viz. BA to AC as CD to DE, the triangles are equiangular b, viz. theb 6. angle ABC equal to DCE, and ACB to DEC ; but the angle...angles ABC, ACB, BAC ; that is, equal to two right angles0; therefore BCE is one right lined. Wherefore, c 32. i. Sec. cl 14. i. PROP. XXXIII. THEO R....
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...DCE : therefore the angle ABC is equal to DCE ; and alfo the angle ACD has been demonftrated to be equal to BAC : therefore the whole angle ACE is equal to the two angles ABC, BAC ; let the common angle ACB be added ; therefore the 'two angles ACE, ACB are equal to the three angles...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 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 th? common angle ACB, then the angles ACE, ACB are equal to the angles ABC, BAC, ACB : But ABC, BAC,...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 399 pages
...Angle ABC is equal to the Angle DCE i tut the Angle AC D has been proved to be equal to the Angle BAG; therefore the whole Angle ACE is equal to the two Angles ABC, BAG; and if ACB, which is common, be added, then the Angles ACE, AGE, are equal to the Angles BAC,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 444 pages
...was proved b 6. 6, Book VI. ved to be equal to ACD : Therefore the whole angle ACE *— ~v— •* is equal to the two angles ABC, BAC ; add the common angle ACB, then the angles ACE, ACB are equal to the angles ABC, B \C, AC B : But ABC, BAC, AC B are equal €32.i....
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 470 pages
...ABC is equal to the angle DCE : And tile angle BAC was proB E ved Book VI. vecl to be eqnal 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 c 32-...
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