It is dividing an angle into two equal parts.
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angle bisector
In the absence of other information, it is the most efficient.
A rectangle has two lines of symmetry (the bisection of the length and width).
1. it is always convergent. 2. it is easy
The root of f(x)=(1-0.6x)/x is 1.6666... To see how the bisection method is used please see the related question below (link).