MACLAURIN, Colin. Traité des Fluxions.
Paris, Claude-Antoine Jombert, 1749.
On 4to (on 2) (253x195 mm), xvi-li-(1)-344-(4) pages and 18 plates. binding : Contemporary full calf, spine gilt in six compartments. Marginal waterstains. Caps and corners worn, joint starting to split.
First Volume only (on 2) of the first edition in french of "the earliest logical and systematic publication of the Newtonian methods. It stood as a model of rigor untilthe appearance of Cauchy's 'Cours d'analyse' in 1821 ... The 'Treatise' is otherwise noteworthy for the solution of a great number of problems in geometry, statics, and the theory of attraction ... Maclaurin also elaborated many of the principles enunciated by Newton in the 'Principia' in this work, including problemsin applied geometry and physics, grounded on the geometry of Euclid" (DSB, VIII, pp.610-611).
references: DSB [VIII, pp.610 : "the earliest logical and systematic publication of the Newtonian methods."], Norman [ed. 1742, 1408 : "Responding to Bishop Berkemey's scthing criticism of the doctrine of fluxions, Maclaurin published his 'Treatise of fluxions', in which he attempted to establish the rigor of the calculus using the geometrical methods favored by Newton. 'Treatise' is noteworthy for its solutions to a number of problems in geometry, statics, and the theory of attraction; its presentation of "Maclaurin's test" for convergence of infinite series; its elaboration, using Euclidian geometry, of many of the principles stated in Newton's 'Principia'; its presentation of the first correct theory for distinguishing between maximum and minimum values of a function; and its dicussion of the attraction of an ellipsoid on an internal point, in which Maclaurin proved that the oblate sphroid is an equilibrium shape for a fluid of uniform density under constant angular rotation."].