BERNOULLI, JOHANN (+) DANIEL BERNOULLI.

Demonstratio constructionis editae in Actis Lips. 1724 M. Jul. pro describenda Trajectoria reciproca, quae inter omnes algebraicas possibiles sit simplicissima [Johann B.] (+) Esplanatio Notationum suarum [Daniel B.].

Leipzig, Grosse & Gleditsch, 1725. 4to. In: "Acta Eruditorum Anno MDCCXXV". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. [Johann Bernoulli's paper:] Pp. 318-25; [Daniel Bernoulli's paper:] Pp. 470-474. [Entire volume: (2), 54, (37) pp. + five engraved plates.].

First printing of two paper's by father and son: Johann and Daniel Bernoulli.
Daniel Bernoulli paper is a solution to the Riccati-equation: "Using the first of the two transformations in [The Riccati-equation], Bernoulli succeded in constructing solutions of "an inifinite number" of Riccati equations for those values of n for which a solution can be expressed in finite terms. Bernoulli published these solutions in Acta Eruditorum for 1725 [the present paper]. (Greenberg. The problem of the earth's shape from Newton to Clairaut. P. 573).

The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.

Order-nr.: 44108