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" FB ; (i. 4.) for the same reason, CF is equal to FD : and because AD is equal to BC, and AF to FB, the two sides FA, AD are equal to the two FB, BC, each to each ; and the base DF was proved equal to the base FC ; therefore the angle FAD is equal to the... "
The Elements of Euclid, with many additional propositions, and explanatory ... - Page 115
by Euclides - 1855
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...ABC, and the whole angle DBA is equal to the whole FBC (Ax. 2) ; and because the two sides AB, BD, are equal to the two FB, BC, each to each, and the angle DBA equal to the angle FBC, therefore (I. 4) the base AD is equal to the base FC, and the triangle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...equal to EB, and FE common and at right angles to them, the base AF is equal (4. 1 .) to the base FB ; for the same reason, CF is equal to FD : and because...each, and the base DF was proved equal to the base EC; therefore the angle FAD is equal (8. 1.) to the angle FBC : again, it was proved that GA is equal...
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The Elements of Euclid

Euclid - Geometry - 1838 - 470 pages
...equal to EB, and FE common and at right angles to them, the base AF is equal (4. 1 .) to the base FB ; for the same reason, CF is equal to FD : and because...each to each, and the base DF was proved equal to F the base EC; therefore the angle FAD is equal (8. 1.) to the angle FBC : again, it was proved that...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...angle ABC, therefore the whole angle DBA is equal* to the whole FBC; and because the two sides AB, BD are equal to the two FB, BC, each to each, and the angle ABD equal to the angle FBC; therefore the triangle ABD is equal* to the triangle FBC: but the...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...to EB, and FE common and at right angles to them, the base AF is equal (Euc. 4.1.) to the base FB; for the same reason, CF is equal to FD : and because AD is equal to вc, and AF to FB, the two sides FA, AD are equal to the two FB, вc, each to each ; and the base DF...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...ABC, the whole angle DBA will be equal (2. Ax.) to the whole FBC ; and because the two sides AB, BD, are equal to the two FB, BC each to each, and the angle DBA equal to the angle FBC, therefore the base AD is equal (4. 1.) to the base FC, and the triangle...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...equal to EB, and FE common and at right angles to them, the base AF is equal to the base FB ; (i. 4.) for the same reason, CF is equal to FD : and because...therefore the angle FAD is equal to the angle FBC: (i. 8.) again, it was proved that GA is equal to BH, and also AF to FB; therefore FA and AG are equal...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...equal to EB, and FE common and at right angles to them, the base AF is equal § M. i. to the base FB ; for the same reason, CF is equal to FD : and because...therefore the angle FAD is equal^ to the angle FBC : ' si Again, it was proved that GA is equal to BII, and also AF to FB ; FA, then, and AG, are equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...ABC, the whole angle DBA will be equal (2. Ax.) to the whole FBC ; and because the two sides AB, BD, are equal to the two FB, BC each to each, and the angle DBA equal to the angle FBC, therefore the base AD is equal (4. 1.) to the base FC, and the triangle...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...the angle ABC ; then the whole angle DBA is equal to the whole FBC : And because the two sides AB, BD are equal to the two FB, BC, each to each, and the angle DBA is eqilal to the angle FBC— therefore the base AD is equal to the base FC, and the triangle...
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