eir bases.Note. In stating a proportion we may read tlie sym-bol : is to, and = as. Or we may say,— The ratioof . . to . . is equal to tlie ratio of . . to. .. We may usesimilar language where the ratios are expressed in theform of fractions. 112 Geometry. Proposition II. Theorem. If a straight… … Let DE be || to BC, a side of the A ABC.Then BD is to DA as CE is to EA.Join BE, CD.Becaiise BC i« II to DE; .. AEDB=ADEC.And EDA i« another A..-. AEDB : AEDA= ADEC : AEDA.But AEDB : AEDA = BD : DA, (HI., 1.)and ADEC : AEDA = CE : EA;.-. BD : DA = CE : EA.Conversely, let BD T)e to DA as CE to…
Geometry · Geometry, Plane
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
