D = d

and analogous formulas for E and F. Writing these equations in matrix form we get:

(See AreaThroughDet.html ) Taking determinants we deduce the formula for the area of DEF, in terms of ABC and its corresponding (absolute) barycentrics:

Using the basic relation between absolute barycentrics and absolute trilinears:

e

AreaOfPedal.html

BarycentricCoordinates.html

ThreeLines.html

Produced with EucliDraw© |