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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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...the remaining angles to the remaining angles, each to each, which are subtended by the equal sides : 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 A CB ; (constr.) therefore the angle...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...the remaining angles to the remaining angles, each to each, which are subtended by the equal sides, therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E ; (i. 4.) but the angle DFG is equal to the angle ACB ; (constr.) therefore...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...the remaining angles to the remaining angles, each to ouch, which are subtended by the equal sides : 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 A CB ; (constr;) therefore the angle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...angles to the re- , maining angles, each to each, BCE to which the equal sides are opposite ; [I. 4. therefore the angle DFG is equal to the angle DFE, and the angle at G is equal to the angle at E. But the angle DFG is equal to the angle ACB; [Constr. therefore the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...angles to the re- | _ maining angles, each to each, BCE~ to which the equal sides are opposite; [I.4. therefore the angle DFG is equal to the angle DFE, and the angle at G is equal to the angle at E. But the angle DFG is equal to the angle ACB; [Comtr. therefore the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...the remaining angles to the remaining angles, each to each, which are subtended by the equal sides : 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 A CB ; (constr.) therefore the angle...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; [I. 4. therefore the angle DFG is equal to the angle DFE, and the angle at G is equal to the angle at E. But the angle DFG is equal to the angle ACB; [Constr. therefore the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; [I. 4. therefore the angle DFG is equal to the angle DFE, and the angle at G is equal to the angle at E. But the angle DFG is equal to the angle ACS; [Comtr. therefore the...
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...remaining angles will be equal to the remaining angles, namely those which the equal sides subtend. [i. 4] Therefore the angle DFG is equal to the angle DFE, and the angle DGF to the angle DEF. But the angle DFG is equal to the angle ACB ; therefore the angle ACB is also...
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Oxford, Cambridge and Dublin Messenger of Mathematics, Volume 2

Mathematics - 1864 - 294 pages
...the two sides in each, equal: then the triangles will be equal, and the third sides witt be equal, and the other angles of the one equal to the other angles of the other, each to each ; those namely to which equal sides are opposite, The proof is the same as that given in Euc. I. iv....
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