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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 ... - Pàgina 17
per John Keill - 1723 - 364 pàgines
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pàgines
...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 ECF; therefore (Ax. 14) the angle ECD, that is, ACD, is greater than BAE. In the same manner, if the side BC be bisected,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pàgines
...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 A CD is greater than the angle ECF; therefore the angle A CD is greater than the angle BAE or BAC....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pàgines
...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...greater than the angle ECF ; therefore the angle ACD IB greater than the angle BAE. In the same manner, if the side BC be bisected, and AC be produced to...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pàgines
...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 A CD is greater than the angle ECF; therefore the angle A CD is greater than the angle BAE or BAC....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pàgines
...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 A CD is greater than the angle ECF; therefore the angle ACD is greater than the angle BAE or BAC....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pàgines
...the remaining angles, each to each, to which the equal sides are opposite; wherefore the angle BAE u equal to the angle ECF; but the angle ECD is greater...therefore the angle ACD is greater than the angle BAE. In the same manner, if the side BC be bisected, and AC be produced to G, it may be demonstrated that...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pàgines
...equal, because (7) they are vertical angles; the triangles ABE and CFE \& are (12) equal; wherefore the angle BAE is equal to the angle ECF; but the angle BCD is greater (Ax. 8) than ECF ; therefore the angle ECD or ACD is greater than the angle BAE or BAC....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 pàgines
...the remaining angles, each to each, to which the equal sides are opposite ; [I. 4. u Oy rj therefore the angle BAE is equal to the angle ECF. But the angle ECD is greater than the angle ECF. [Axiom 9. Therefore the angle ACD is greater than the angle BAE. In the same manner if BC be bisected,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 pàgines
...angles to the remaining angles, each to each, to which the equal sides are opposite ; [I. 4. therefore the angle BAE is equal to the angle ECF. But the angle ECD is greater than the angle ECF. [Axiom 9. Therefore the angle ACD is greater than the angle BAE. In the same manner if 5G'be bisected,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pàgines
...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 BA E or BA...
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