Analyse démontrée ou la méthode de resoudre les problêmes de mathématiques, et d'apprendre facilement ces sciences. Expliquée & démontrée dans le premier volume, & appliquée, dans le second. ([With different title:] Usage de l'analyse, ou la maniere de l'appliquer).

2 vol., 4to: [6]-xxiv-486-[2]; xxviii-(487-)914-[4] pp.; 6 folding tables (sl. toned, 1st quires of both vol. loose or losening).

Mod. half calf, marbled paper covers.

1st ed. of the textbook that taught Jean Le Rond D’Alembert calculus! Written by the French mathematician Reynaud (1656-1728), it set the standard when it came to mathematical education, illustrating how a generation of mathematicians dedicated themselves to Leibnizian calculus. A large part concerns the use of differential calculus for geometric issues, while the methods of integral calculus are still little developed.
Ref. Lubet, J.-P.- "Le calcul différentiel et intégral dans l’Analyse démontrée de Charles René Reyneau". Recherches sur Diderot et sur l'Encyclopédie [En ligne], 38 (April 2005). - Costabel, P. - Dictionary of Scientific Biography 11, p. 392. - Not in BnF. - Poggendorf, Vol. II, 619.
Prov. Stamps and ref.nr. on both t.p. (Spence). - Ms. ownership "Spence ...1799 Edinb.". - FM (mod. bookpl.).