|Book VI Proposition 33|
There being four magnitudes,
two circumferences BC, EF, and two angles BGC, EHF, there have been taken,
of the circumference BC and the angle BGC equimultiples, namely
the circumference BL and the angle BGL, and
of the circumference EF and the angle EHF equimultiples, namely
the circumference EN and the angle EHN.
And it has been proved that,
if the circumference BL is in excess of the circumference EN,
the angle BGL is also in excess of the angle EHN,
if equal, equal; and
if less, less.
as the circumference BC is to EF,
so is the angle BGC to the angle EHF. [V.Def.5]
|Previous Page Return to Propositions Next Page|