## New answers tagged plane-geometry

1
vote

### Continuing generalization of the Simson line

This is an old post, already answered, but this comment (posted as an answer, since I am not entitled) might be of interest. There is an alternative, computational proof which gives the result in a ...

2
votes

Accepted

### Convex planar regions with all area bisectors having equal length

This paper has a reference to a positive answer to the first question.

0
votes

### Divide angles by coefficients relate to Fibonacci sequence

Locus equation of the point $O_1$, In Cartesian coordinates, as follows:
$$x=\frac{1}{2}t\frac{t^2-3}{t^2-1}$$
$$y=\frac{1}{2}\frac{t^2+1}{1-t^2}$$
where $-1<t<1$ or the equation:
$$x^2-y^2=\...

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