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A reconstruction of the tables of Napier’s description (1616) Denis Roegel 11 January 2011 This document is part of the LOCOMAT project: http://locomat.loria.fr

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Page 1: A reconstruction of the tables of Napier’s description (1616)22 6399 5051535 5051515 20:5 999979:5 38 23 6690 5007082 5007059 22:4 999977:6 37 24 6981 4964520 4964496 24:4 999975:6

A reconstruction of the tables

of Napier’s description (1616)

Denis Roegel

11 January 2011

This document is part of the LOCOMAT project:http://locomat.loria.fr

Page 2: A reconstruction of the tables of Napier’s description (1616)22 6399 5051535 5051515 20:5 999979:5 38 23 6690 5007082 5007059 22:4 999977:6 37 24 6981 4964520 4964496 24:4 999975:6
Page 3: A reconstruction of the tables of Napier’s description (1616)22 6399 5051535 5051515 20:5 999979:5 38 23 6690 5007082 5007059 22:4 999977:6 37 24 6981 4964520 4964496 24:4 999975:6

Important notice

This volume contains an ideal reconstruction of Napier’s 1616 table of log-arithms, assuming Napier did not round his values and made no computationerror. This table does not give the ideal Napierian logarithm.

For more details on this recomputation, see

Denis Roegel, Napier’s ideal construction of the logarithms, Technicalreport, LORIA, 2010.

3

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines Infinite. Infinite. . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Min.

Deg.

5

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

6

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

7

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

8

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

9

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

10

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

11

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

12

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

13

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

14

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

15

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

16

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

17

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

18

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

19

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

20

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

22

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

23

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

24

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

25

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

26

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

27

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

28

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

29

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

30

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

31

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

32

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

33

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

34

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

35

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

36

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

37

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

38

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

40

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

59

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

60

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

61

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

62

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

63

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

64

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

65

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

66

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

67

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

68

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

69

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

70

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

71

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

72

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

73

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

74

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

75

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

76

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

77

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

78

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

79

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

80

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

81

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

82

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

83

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

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Deg.

84

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

85

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

86

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

87

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

Min.

Deg.

88

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

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Deg.

89

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

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Deg.

90

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

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Deg.

91

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

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Deg.

92

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Napier’s 1616 table of logarithms (reconstruction, D. Roegel, 2010)

Deg. + | −m. Sines Logarith. Differen. Logarith. Sines

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Deg.

93