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Leibniz, 24, 40, 69, 66, 67, 71, 72, 73, 75, 86 Leonardo of Pisa, 29 Limit, 46, 60, 73, 77, 80 upper, 74, 78 Local value of symbols, 16 Loci, 20, 21, 24, 25, 43, 46 Logarithms, 28 Logic, 12, 25, 34, 47, 48, 55, 82, 83, 84, 85,86 symbolic, 30 modern, 5, 7, 24, 87 Logical scrutiny of mathematics, 79 Logicians, 47 MACH, E., 89 Magnitudes, 21, 77 Mathematical discovery, 8 Mathematics and mathematics, 8, 83 Mathematics, use of, 5, 6, 11 application of, 6, 7, 86 growth of, 10 sqq. nature of, 9, 55, 83-88 Maxwell, 10 Mechanical theory, 79 Mechanics, 19, 55, 75 Menaechmus, 17, 18 Methods, mathematical, 7, 8 Mnemonic character of symbols in mechanics, 62, 63 Model, 54, 55 Moors, 23 Motion, 24, 46, 47, 55, 86 / conception of, 24 Multiplication, 15, 28, 30, 32, 38, 62, 67 logical, 31 NAPIER, 28 Natural science, 6, 9, 12, 19, 24 Nautical Almanac, 6, 54, 55 Need, intellectual, 9, 10, 12 bodily, 10, 12 Negative quantities, 41 Newton, 10, 55, 60, 64, 65, 71, 72, 73, 75, 76, 85 Notation, 16, 33, 53, 71 " Numbers," 21, 31, 33, 34, 77, 81 Numbers, abstract, 29, 32 complex, 38, 74 concrete, 29, 30 imaginary, 37 negative, 7, 34, 35, 36 ordinal, 82 positive, 34, 35, 80 representation of, by points, 31, 41, 42,79 ORBITS, 64, 76 Ordinate, 41 Origin, 41 of geometry, 12 PAPPUS, 43 Parabola, 42, 43, 60, 61, 69 INDEX
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