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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 ... - Página 99
por Euclid - 1776 - 264 páginas
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 páginas
...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 - 1733 - 444 páginas
...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 - 1772 - 462 páginas
...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 - 1775 - 534 páginas
...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 - 1776 - 326 páginas
...about them proportional, viz. BA to AC as CD to DE, the triangles are equiangular b, viz. theb 1r. angle ABC equal to DCE, and ACB to DEC ; but the angle...angles ABC, ACB, BAC ; that is, equal to two right angles c; therefore BCE is one right line*, Wherefore,c 32. r &c. 4 14PROP. XXXIII. THEO R. JN equal...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 324 páginas
...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 - 552 páginas
...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 - 1782 - 476 páginas
...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 ...

Euclid, John Playfair - 1795 - 462 páginas
...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 - 1804 - 468 páginas
...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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