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" ... therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E : but the angle DFG is equal to the angle ACB... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 152
by John Keill - 1723 - 364 pages
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...the Angle J 8. i. DEF is J equal to the Angle GEF ; and the Triangle DEF equal to the Triangle GEF ; and the other Angles of the one, equal to the other Angles of the other, which are fybtended by the equal Sides. Therefore the Angle DEF is equal to the Angle GEFj and the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...the remaining angles to the remaining angles, each to each, which are fubtended by the equal fides, therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E. but the angle DFG is equal to the angle ACB ; therefore the angle ACB is equal...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...remaining angles equal to the remaining angles, each to each, which are oppofite to the equal fides : Therefore the angle DFG is equal to the angle DFE ; and the angle at G equal to the angle at E. But the angle DF G [by conftruction] is equal to the angle A c B : Therefore...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...Confequently the Bafe EF is * equal to the * 4- *• Safe FG, and the Triangle DEF equal to the Triangle DGF ; and the other Angles of the one equal to the other...equal Sides are fubtended. Therefore the Angle DFG i» equal to the Angle DFE, and the Angle G equal to the Angle E ; but the Angle DFG is equal to the...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...the remaining angles to the remaining angles, each to each, which are fubtended by the equal fides : Therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E : But the angle DFG is equal to the angle ACB; therefore the angle ACB is equal...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...equal to the re- Bo«k vI. maining angles, each to each, under which the equal fides are extended; therefore the angle DFG is equal to the angle DFE ; and the angle at G to the angle at E ; hut the angle DFG is equal (by conft.) to the angle ACB ; therefore alfo ACB...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...the remaining angles to the remaining angles, each to each, which are fubtendedby the equal fides : Therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E : But the angle DFG is equal to the angle ACB ; therefore the angle ACB is equal...
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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
...the remaining angles to the remaining angles, each to each, which are fubtended by the equal fides : Therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E : But the angle DFG is equal to the angle ACB ; therefore the angle ACB is equal...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...the remaining anglec to the remainingangles, each to each, which are fubtended by the equal fides. therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E. but the angle DFG is equal to the angle ACB ; therefore the angle ACB is equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...and also the angle EDF equal to the angle GDF ; wherefore the base EF is equal to the base FGf, and the angle DFG is equal to the angle DFE, and the angle at G to the angle at E. But the angle DFG is equal to the angle ACB ; therefore the angle ACB is equal...
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