Prior to 1735, South America was terra incognita to many Europeans. But that year, the Paris Academy of Sciences sent a mission to the Spanish American province of Quito (in present-day Ecuador) to study the curvature of the earth at the Equator. Equipped with quadrants and telescopes, the mission's participants referred to the transfer of scientific knowledge from Europe to the Andes as a "sacred fire" passing mysteriously through European astronomical...