We left France, M.Godin, M.Bouguer & I, in 1735, sent by order of the King to Spanish America, & charged by the Academy to make in the vicinity of the Equator, observations of various kinds, especially those deemed most suitable to determine the Figure of the Earth. It was not until 1751, nearly seven years after my return, that I shared the history of this academic voyage, and that I gave an account of the part I played in this common work. (...) M.Bouguer, who returned more than eight months before me, had already read in November 1744, in a public meeting of the Academy, an abridged narration of our operations in the province of Quito. Those who had not considered the question of the Figure of the Earth as set, during the previous years, by the various works of M. De Maupertuis, had opposed nothing to the result of the new measurements of degrees of latitude & longitude, carried out in France in the following years, & which all confirmed the consequences drawn from the operations in the North. Finally, if there were still any partisans of the opinion that the Earth was plunged or spherical, the agreement of our observations in Peru with those of Lapponie & France, and their mutual concurrence in proving the completeness of the degrees of the Meridian increasing from the Equator to the Polar Circle, no longer allowed us, in 1744, to doubt that our globe was flattened towards the poles, and henceforth only left uncertainty as to the plus or minus of this flattening.