Solutio algebraica problematis de quadrisectione trianguli Scaleni per duas normales rectas (pp.617-623, Tab IX, Fig.1-6).

Bernouli, Jacob I.

Publication Date: 1687

About this Item

Acta Eruditorum, 1687/11. - Leipzig, Grossium & Gleditsch, November 1687, 4°, pp.593-648, 2 Kupferstichtafeln, Rückenbroschur. First Edition! "The first article that Bernoulli published in which he was identified as the professor of mathematics at the University of Basel appeared in the Acta Eruditorum for November 1687 and concerned the division of a scalene triangle into four equal parts by two straight lines perpendicular to one another." JACOB BERNOULLI THE ART OF CONJECTURING together with LETTER TO A FRIEND ON SETS IN COURT TENNIS. Translated with an introduction and notes Edith Dudley Sylla. (2006), pp.30-31 "In 1687, Jacob Bernoulli published his solution to the problem of finding two perpendicular lines which divide a given triangle into four equal areas. He gave a general algebraic solution which required finding a root of a polynomial of degree 8 and worked this out numerically for one scalene triangle. The question of whether Bernoulli's polynomial equation of degree 8 has the needed root in all cases is not answered completely. Leonhard Euler's, in 1779, wrote a 22 page paper in which he gives a complete solution using trigonometry." Carl Eberhart, Revisiting the quadrisection problem of Jacob Bernoulli. [1] Jacob Bernoulli, No. XXIX. Solutio algebraica problematis de quadrisectione trianguli scaleni, per duas normales rectas, (1687). [2] Leonhard Euler, Dilucidationes Problemate Geometrico De Quadrisecione Trianguli a Jacobo Bernoulli (1779). Euler Archive, Index Number E729.

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Bibliographic Details

• Title: Solutio algebraica problematis de quadrisectione trianguli Scaleni per duas normales rectas (pp.617-623, Tab IX, Fig.1-6).
• Publication Date: 1687
• Edition: 1st Edition
• Seller catalogs:
  • Philosophical Science