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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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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...CEF; I. 15. therefore the triangle AEB is equal to the triangle CEF in all respects : I. 4. so that the angle BAE is equal to the angle ECF. But the angle ECD is greater than its part, the angle ECF ; therefore the angle ECD is greater than the angle BAE; that is, the angle...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...CEF; I. 15. therefore the triangle AEB is equal to the triangle CEF in all respects : I. 4. so that the angle BAE is equal to the angle ECF. But the angle ECD is greater than its part, the angle ECF ; therefore the angle ECD is greater than the angle BAE ; that is, the angle...
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A Course in Modern Geometries

Judith Cederberg - Mathematics - 2004 - 472 pages
...equal to the remaining angles respectively, namely those which the equal sides subtend; [1.4] therefore the angle BAE is equal to the angle ECF . But the angle ECD is greater than the angle ECF; [CN 5] therefore the angle ACD is greater than the angle BAE. Similarly, also, if EC be bisected, the...
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A History of Mathematics: From Mesopotamia to Modernity

Luke Hodgkin - Mathematics - 2005 - 302 pages
...remaining angles, respectively, namely those opposite the equal sides. Therefore, the angle BAE equals the angle ECF. But the angle ECD is greater than the...therefore the angle ACD is greater than the angle BAE. Similarly, if BC is bisected, then the angle BCG, that is, the angle ACD, can also be proved to be...
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