T H E E L E M E N T S |
Book VI Proposition 1 | |
Thus, there being four magnitudes, two bases BC, CD and two triangles ABC, ACD, equimultiples have been taken of the base BC and the triangle ABC, namely the base HC and the triangle AHC, and of the base CD and the triangle ADC other, chance, equimultiples, namely the base LC and the triangle ALC; and it has been proved that, if the base HC is in excess of the base CL, the triangle AHC is also in excess of the triangle ALC; if equal, equal; and if less, less. Therefore as the base BC is to the base CD, so is the triangle ABC to the triangle ACD. [V.Def.5] |
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