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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 15
per Euclid, John Keill - 1733 - 397 pàgines
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pàgines
...which the equal sides are opposite (Proposition 4); therefore the angle BAE is equal to the angle EOF. But the angle ECD is greater than the angle ECF. Therefore the angle ECD is greater C*. \o than the angle BAE. That is to say, the angle A CD is greater than the angle...
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A Text-book of Euclid's Elements for the Use of Schools. Books I ..., Llibre 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 pàgines
...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, Llibre 1

Euclid - 1904 - 488 pàgines
...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 - 2004 - 472 pàgines
...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 - 2005 - 302 pàgines
...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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