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" CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 17
by Euclid, John Keill - 1723 - 364 pages
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF: but the angle...angle ECF; therefore the angle ACD is greater than BAE : In the same manner, if the side BC be bisected, it may be demonstrated that the angle BCG, that...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...remaining angles to the remaining angles each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the...is greater than the angle ECF ; therefore the angle ECD, that is ACD, is greater than BAE : In the same manner, if the side BC be bisected, it may be demonstrated...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...the remaining angles of the other, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD or ACD is greater than the angle ECF; therefore the angle A CD is greater than the angle BAE. In the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; therefore the angle BAE is equal to the angle ECF : But the...therefore the angle ACD is greater than the angle BAE, or BAC. And, in like manner, if the side BC be bisected and AC be produced to G, it may be demonstrated...
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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
...remaining angles to the remaining angles each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the...is greater than the angle ECF ; therefore the angle ECD, that is ACD, is greater than BAE : In the same manner, if the side BC be bisected, it may be demonstrated...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF; but the angle...angle ECF ; therefore the angle ACD is greater than BAE : In the same manner, if the side BC be bisected, and AC produced to G, it may be demonstrated...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...angles to the remaining angles, each to each, to which the equal sides are opposite : wherefore, 4. The angle BAE is equal to the angle ECF; but the angle ECD is greater than the angle ECF; therefore 5. The angle A CD is greater than BAE. In the same manner, if the side BC be bisected, it may be demonstrated...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; But the angle ECD is greater (9 Ax.) than the angle ECF ; therefore the angle ACD is greater than BAE : in the same manner, if the...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1855 - 340 pages
...remaining angles to the remaining angles each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECFs therefore the angle ECD, that is ACD, is greater than BAE : In the same manner, if the side BC...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle EOF; but the angle ECD is greater than the angle ECF ; therefore the angle ECD, that is A CD, is greater than BAE : In the same manner, if the side BC be bisected, it may be...
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