Smith, David Eugene, 1860-1944 · Boston, New York [etc.] Ginn and Company · leaf 267
is also equal to a second angle of the other triangle. It is helpful to give numerical values to the sides ofa few triangles having such equal angles, and to find thenumerical ratio of the areas. Theorem. The areas of two similar triangles are toeach other as the squares on any two corresponding… … A! B This proof is unnecessarily Long, however, because of the introduction of the altitudes. LEADING PROPOSITIONS OF BOOK IV 257 In this and several other propositions in Book IVoccurs the expression the square on a line.** We have,in our departure from Euclid, treated a line either as ageometric…
Geometry
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