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Every science overlaps with others: they are two continuous branches off a single trunk. He who composes an opus does not enter abruptly into his subject, does not close himself strictly within it, does not leave it abruptly: he is obliged to anticipate terrain adjoining his; its consequences often take him onto…
Geometry enlightens the intellect and sets one's mind right. All its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this…
Generally speaking, people have a very erroneous idea of the type of talent proper to the ideal mechanician. He is not a geometrician who, delving into the theory of movement and the categories of phenomena, formulates new mechanical principles or discovers unsuspected laws of nature.… In most other branches of…