4to (259x196 mm), viii-326-(1) pages and 11 folding plates. binding : Contemporary quarter sheep, flat spine. Binding rubbed. Caps chipped. Large waterstain on first leaves (repaired).
First edition under this title, but actually the second edition of the second part of his work "Développement nouveau de la partie élémentaire des mathématiques ...", 1778.
In it, he provides a proof of Euclid's postulate, which enjoyed some success until the advent of non-Euclidean geometries.
Louis Bertrand (1731-1812), born in Geneva, was a Swiss geologist and mathematician. He was a student of Euler and became his close friend.