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" Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD. "
Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry - Page 113
by John Playfair - 1829 - 186 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...therefore equal to the g. 9. sangle ACEh. but the angle AEC is equal to the outward and op- hji pofite angle BAD; and the angle ACE is equal to the alternate angle CAD b. wherefore alfo the angle BAD is equal to the angle CAD. therefore the angle BAC is cut into two...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...there- g 9. sfore equal to the angle ACE h : But the angle AEC is equal to h ji the outward and oppofite angle BAD ; and the angle ACE is equal to the alternate angle CAD b : Wherefore alfo the angle BAD is equal to the angle CAD ; Therefore the angle BAC is cut into two...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...9- jfore equal to the angle ACL1' : But the angle AEC is equal to h 5. r. the outward and oppofite angle BAD; and the angle ACE is equal to the alternate angle CAD1' : Wherefore alfo the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...oppofite angle BAD ; and the angle ACE /US B9-5D is equal to the alternate angle CADb: Wherefore alfo the •angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the flraight line AD. Therefore, if the angle, &c. Q^ ED PR OP. A. THEO...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...and the angle ACE is g 9- 5equal to the alternate angle CAD b : Wherefore alfo the angle h 5- 1• BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the flraight line AD. Therefore, if the angle, Sic. Q^ ED PROP. A. THEOR....
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...S. 9. 5. equal to the angle ACE h. but the angle AEC is equal to the out. h. 5. 1ward and oppofite angle BAD ; and the angle ACE is equal to the alternate angle CAD b. wherefore alfo the angle BAD is equal to the angle CAD. therefore the angle BAC is cut into two...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...therefore equal to h 5. i. the angle ACE h. But the angle AEC is equal to the exterior and oppofite angle BAD ; and the angle ACE is equal to the alternate angle CAD b : Wherefore alfo the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...exterior and opposite angle BAD, and the angle b 29. 1. ACE is equal to the alternate angle CAD*1 ; wherefore also the angle BAD is equal to the angle CAD ; therefore the angle BAC is cut into two equal angles by the straight line AD. Therefore, if the angle, &c. Q. . D. PROP. A....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...is therefore g 9. 5. equal to the angle ACE b : but the angle AEC is equal to the out- h 5. 1. ward and opposite angle BAD : and the angle ACE is equal to the alternate angle CADb: wherefore also the angle BAD is equal to the angle CAD : therefore the angle BAC is cut into...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...angle AEC is therefore equal to the angle ACE h : But the' 5. i. angle AEC is equal to the outward and opposite angle BAD; and the angle ACE is equal to the alternate angle CAD b : Wherefore also the angle BAD is equal to the angle CAD ; Therefore the angle BAC is cut mto two...
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