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As Lm//Cb
so Am/mb = al//lc. ......1
and as ln//cd
so
An/nd = al/ac.............2
from 1 and 2 we get
an/nd = am/mb
plus 1 both side
an/nd + 1 = am/mb + 1
reciprocal it
(an+nd) / an = (am+md) / am
ab / an = ad / am
after cross multiplication we get
AM/AB = AN/AD
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