STRAIN, SETS OF PARALLEL LINES

SETS OF PARALLEL LINES

A line such as y=mx+k before deformation can get the form through Eulerian specification:

y'=[(-cx'+ay')/(ad-bc)]=m[(dx'-by')/(ad-bc)]+k 

y'=[(c+dm)/(a+bm)]x'+k[(ad-bc)/(a+bm)]

which gives the transformed sets of lines after deformation:

y'=Mx'+K