• Corpus ID: 231639211

Bisecting a triangle in a given direction

@inproceedings{Whitty2021BisectingAT,
  title={Bisecting a triangle in a given direction},
  author={Robin W. Whitty},
  year={2021}
}
  • R. Whitty
  • Published 16 January 2021
  • Mathematics, Geology
Given a triangle, what is the equation of the line which bisects its area and has a given slope? The set of all lines bisecting the area of a triangle has been elegantly determined as a certain ‘deltoid’ envelope and this gives an indirect method of solution. We find that vector algebra allows the equation to be written down rather directly and neatly. 
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References

SHOWING 1-2 OF 2 REFERENCES
Bisecting the Perimeter of a Triangle
It is well known that amedian of a triangle divides it into two triangles of equal area, and that the three medians meet at the centroid. Hence, every triangle has at least one point through which…
Halving a Triangle