Smith, David Eugene, 1860-1944 · Boston, New York [etc.] Ginn and Company · leaf 259
ents should frequently be questioned as to themeaning of product of lines. The Greeks always used rectangle of lines, but it is entirely legitimate to speakof product of lines, provided we define the expressionconsistently. Most writers do this, saying that by theproduct of lines is meant the… … LEADING PROPOSITIONS OF BOOK III 249 diminished by the product of the segments made by thebisector upon the third side of the triangle. This proposition enables us to compute the length of abisector of a triangle if the lengths of the sides are known. For, in this figure, let a — 3, b = 5, and c =…
Geometry
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