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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 ... - Σελίδα 91
των Euclid - 1776 - 264 σελίδες
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 364 σελίδες
...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,...

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

John Keill - 1733 - 397 σελίδες
...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,...

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

John Keill - 1772 - 399 σελίδες
...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,...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 σελίδες
...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...

The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 309 σελίδες
...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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 σελίδες
...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,...

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

John Keill - 1782 - 399 σελίδες
...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,...

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

John Playfair - 1795 - 400 σελίδες
...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....

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

Euclid, John Playfair - 1804 - 440 σελίδες
...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-...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...angle Book Vi, ABC is equal to the angle DCE. and the angle iJAC was proved v to be equal to AC'D. therefore the whole angle ACE is equal to the two angles ABC, BAC. add the common angle AcB, then the angles ACE, AoB are equal to the angles ABC, BAC, ACB. but ABC, BAC, ACB are equal to two...




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