This book offers insights relevant to modern history and epistemology of physics, mathematics and, indeed, to all the sciences and engineering disciplines emerging of 19th century. This research volume is the first of a set of three Springer books on Lazare Nicolas Margurite Carnots (17531823) remarkable work: Essay on Machines in General (Essai sur les machines en gnral [1783] 1786). The other two forthcoming volumes are: Principes fondamentaux de lquilibre et du mouvement (1803) and Gomtrie de position (1803). Lazare Carnot l'organisateur de la victoire in Essai sur le machine en gnral (1786) assumed that the generalization of machines was a necessity for society and its economic development. Subsequently, his new coming science applied to machines attracted considerable interest for technician, as well, already in the 1780s. With no lack in rigour, Carnot used geometric and trigonometric rather than algebraic arguments, and usually went on to explain in words what the formulae contained. His main physical mathematical concepts were the Geometric motion and Moment of activityconcept of Work . In particular, he found the invariants of the transmission of motion (by stating the principle of the moment of the quantity of motion) and theorized the condition of the maximum efficiency of mechanical machines (i.e., principle of continuity in the transmission of power). While the core theme remains the theories and historical studies of the text, the book contains an extensive Introduction and an accurate critical English Translation including the parallel text edition and substantive critical/explicative notes of Essai sur les machines en gnral (1786). The authors offer much-needed insight into the relation between mechanics, mathematics and engineering from a conceptual, empirical and methodological, and universalis point of view. As a cuttingedge writing by leading authorities on the history of physics and mathematics, and epistemological aspects, it appeals to historians, epistemologistphilosophers and scientists (physicists, mathematicians and applied sciences and technology).