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91 Fluent, 71 Fluxion, 72 Fluxions, method of, 60, 65, 71, 75 Fourier, 72 Fractions, 14, 15, 21, 31, 32, 34, 41, 42 French Revolution, 72 Function, 23, 24, 36, 40, 49, 74, 86, 87 prepositional, 87 Functionality, 48 GALILEO, 55, 56-62, 65, 71, 75 Gaps in the system of rationals, 80 Gauss, 74, 85 Generality of algebra, 24, 38, 75, 86 Generalisation of numbers, 31, 32 Geometry, 83, 85 modern, 74 Geometrical objects, 18, 54-55 Girard, 29 Greek geometry, 12, 13, 16, 75, 84 Greeks, 15, 16, 21, 23, 24, 47, 50, 51, 52, 65, 77 Gulliver's Travels, 32 HARRIOT, 29, 36 Herodotus, 13 Hertz, 10 Hindoos, 16, 22, 29 Hipparchus, 22 Hippocrates, 17 Hyperbola, 42, 43 IMPLICATION, 87 Incommensurables, 20, 32, 77 Independence of motions, 61 Indivisibles, method of, 52, 53, 60, 65, 67 Induction, 17, 84 Inertia, law of, 64 Infinite series, 78 Infinitesimal Calculus, 46, 53 methods, 50 Infinitesimals, 50-51, 59, 66, 67, 73, 74 Integers, definition of, 80-82 Integral, 68 Calculus, 53, 59, 60, 61 Integration, 68, 69, 76 Interpretation of symbols, 38 Intersection, points of, 45 Inverse of problem of tangents, 53, 68, 69,76 Irrational numbers, 32, 34, 42, 43, 77, 79, 80 Isosceles triangle, 18 KEPLER, 52, 66 Knowledge, instinctive, 10, 58 LAQRANGE, 72, 89 Lambert, 24 Laplace, 72 Laws of nature, 48, 54, 56 of logic, 84 of thought, 84 Legendre, 72
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