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" If two triangles, which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another, the remaining sides shall be in a straight line. Let... "
The Elements of Euclid, containing the first six books, with a selection of ... - Seite 232
von Euclides - 1874
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Books 3-9

Euclid - 1908 - 456 Seiten
...presenting this proposition is given by Todhunter. The essential theorem to prove is : If two triangles have two sides of the one proportional to two sides of the other, and the angles opposite to one pair of corresponding sides equal, the angles •which are opposite...
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Proceedings of the Edinburgh Mathematical Society, Bände 38-41

Edinburgh Mathematical Society - 1920 - 460 Seiten
...above. The corresponding theorem in similarity may be enunciated thus : Theorem: If two triangles have two sides of the one proportional to two sides of the other and the angles opposite to one pair of corresponding sides supplementary, then the angles opposite...
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The Thirteen Books of Euclid's Elements

Euclid - 452 Seiten
...this proposition is given by Todhunter. The essential theorem to prove is : If two triangles haiie two sides of the one proportional to two sides of the other, and the angles opposite to one pair of corresponding sides equal, the angles whi<h are opposite to...
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