Multisection
Multisection of a mathematical quantity or figure is division of it into a number of (usually) equal parts. Division of a quantity into two equal parts is known as bisection, and into three equal parts is known as trisection.
The coordinates of the first 
-multisection of
a line segment with endpoints given in trilinear
coordinates by 
and 
is 
, where
 |  | ![naalpha_1alpha_2+b[alpha_2beta_1+(n-1)alpha_1beta_2]+c[alpha_2gamma_1+(n-1)alpha_1gamma_2]](/images/equations/Multisection/Inline7.gif) |
(1)
|
 |  | ![a[alpha_1beta_2+(n-1)alpha_2beta_1]+nbbeta_1beta_2+c[beta_2gamma_1+(n-1)beta_1gamma_2]](/images/equations/Multisection/Inline10.gif) |
(2)
|
 |  | ![a[alpha_1gamma_2+(n-1)alpha_2gamma_1]+b[beta_1gamma_2+(n-1)beta_2gamma_1]+ncgamma_1gamma_2.](/images/equations/Multisection/Inline13.gif) |
(3)
|
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