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Intermediate axioms advance a step further, being the
result of reflection, which, applied to our experimental knowledge,
deduces laws from them, such as in optics of the first degree of
generality, that the angle of           is equal to the angle of
reflection; and in mechanics, Kepler’s three laws of motion, while
his general law, that all bodies attract each other with forces
proportional to their masses, and inversely as the squares of their
distances, may be taken as one of the highest axioms.