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" AB be the greater, and from it cut (3. 1.) off DB equal to AC the less, and join DC ; therefore, because A in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides DB, BC are equal to the two AC, CB. each to each ; and the angle... "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Σελίδα 13
των Dennis M'Curdy - 1846 - 138 σελίδες
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The poetical works of lord Byron, with notes, Τόμος 3

George Gordon N. Byron (6th baron.) - 1885
...rare, Euclid: — "Because, in the triangles DBC, ACB, I) H is equal to AC, and BC common to both ; the two sides DB, BC, are equal to the two AC, CB, each to each, and the angle DBC is equal to the angle ACB : therefore, the base DC is equal to the base AB, and the triangle...

the first book of euclid's elements with a commentary

...equal to the less AC; and let DC be joined, (v) Then since DB is equal to AC, and BC is common, the two DB, BC are equal to the two AC, CB, each to each ; and the angle DBC is equal to the angle ACB. Therefore the base DC is equal to the base AB; and the triangle...
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