Jump to content

Bernoulli quadrisection problem

From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Michael Hardy (talk | contribs) at 17:56, 13 February 2022 (Created page with 'In geometry, the '''Bernoulli quadrisection problem''' is that of finding two perpendicular line that divide a specified triangle into four regions of equal areas. Its solution by Jacob Bernoulli was published in 1687.<ref>[http://dx.doi.org/10.3931/e-rara-3584 Jacob Bernoulli, "Solutio algebraica problematis de quadrisectione trianguli scaleni, per duas normales rectas," ''Collected Works'', No. XXIX, (1687) 228–335;.] </ref> <ref>Carl Eberhart, "Rev...'). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

In geometry, the Bernoulli quadrisection problem is that of finding two perpendicular line that divide a specified triangle into four regions of equal areas. Its solution by Jacob Bernoulli was published in 1687.[1] [2]

Notes and references

  1. ^ Jacob Bernoulli, "Solutio algebraica problematis de quadrisectione trianguli scaleni, per duas normales rectas," Collected Works, No. XXIX, (1687) 228–335;.
  2. ^ Carl Eberhart, "Revisiting the Quadrisection Problem of Jacob Bernoulli," Forum Geometricorum, Volume 18 (2018) 7–16.