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Reconstruction of de Decker-Vlacq's 1628 Table of Common Logarithms

Common logarithms from 1 to 150
Num.
Logarithmi
Differ.
Num.
Logarithmi
Differ.
Num.
Logarithmi
Differ.
1
0,00000,00000
30102,99956
51
1,70757,01760
843,31675
101
2,00432,13737
427,87979
2
3,01029,99566
17609,12590
52
1,71600,33436
827,25259
102
2,00860,01717
423,70529
3
4,77121,25471
12493,87366
53
1,72427,58696
811,78902
103
2,01283,72247
419,61145
4
6,02059,99132
9691,00130
54
1,73239,37598
796,89296
104
2,01703,33392
415,59597
5
6,98970,00433
7918,12460
55
1,74036,26894
782,53375
105
2,02118,92990
411,65661
6
7,78151,25038
6694,67896
56
1,74818,80270
768,68286
106
2,02530,58652
407,79124
7
8,45098,04001
5799,19469
57
1,75587,48556
755,31378
107
2,02938,37776
403,99778
8
9,03089,98699
5115,25224
58
1,76342,79935
742,40180
108
2,03342,37554
400,27424
9
9,54242,50943
4575,74905
59
1,77085,20116
729,92387
109
2,03742,64979
396,61872
10
1,00000,00000
4139,26851
60
1,77815,12503
717,85846
110
2,04139,26851
393,02936
11
1,04139,26851
3778,85608
61
1,78532,98350
706,18544
111
2,04532,29787
389,50438
12
1,07918,12460
3476,21062
62
1,79239,16894
694,88599
112
2,04921,80226
386,04208
13
1,11394,33523
3218,46833
63
1,79934,05494
683,94245
113
2,05307,84434
382,64078
14
1,14612,80356
2996,32233
64
1,80617,99739
673,33826
114
2,05690,48513
379,29890
15
1,17609,12590
2802,87236
65
1,81291,33566
663,05788
115
2,06069,78403
376,01488
16
1,20411,99826
2632,89387
66
1,81954,39355
653,08671
116
2,06445,79892
372,78725
17
1,23044,89213
2482,35837
67
1,82607,48027
643,41100
117
2,06818,58617
369,61455
18
1,25527,25051
2348,10958
68
1,83250,89127
634,01780
118
2,07188,20073
366,49540
19
1,27875,36009
2227,63947
69
1,83884,90907
624,89492
119
2,07554,69613
363,42846
20
1,30102,99956
2118,92990
70
1,84509,80400
616,03087
120
2,07918,12460
360,41242
21
1,32221,92947
2020,33860
71
1,85125,83487
607,41477
121
2,08278,53703
357,44603
22
1,34242,26808
1930,51551
72
1,85733,24964
599,03636
122
2,08635,98306
354,52807
23
1,36172,78360
1848,34056
73
1,86332,28601
590,88596
123
2,08990,51114
351,65737
24
1,38021,12417
1772,87669
74
1,86923,17197
582,95436
124
2,09342,16851
348,83278
25
1,39794,00086
1703,33392
75
1,87506,12633
575,23288
125
2,09691,00130
346,05321
26
1,41497,33479
1639,04161
76
1,88081,35922
567,71328
126
2,10037,05451
343,31758
27
1,43136,37641
1579,42671
77
1,88649,07251
560,38775
127
2,10380,37209
340,62486
28
1,44715,80313
1523,99665
78
1,89209,46026
553,24885
128
2,10720,99696
337,97406
29
1,46239,79978
1472,32568
79
1,89762,70912
546,28957
129
2,11058,97102
335,36420
30
1,47712,12547
1424,04391
80
1,90308,99869
539,50318
130
2,11394,33523
332,79433
31
1,49136,16938
1378,82844
81
1,90848,50188
532,88335
131
2,11727,12956
330,26355
32
1,50514,99783
1336,39615
82
1,91381,38523
526,42399
132
2,12057,39312
327,77097
33
1,51851,39398
1296,49771
83
1,91907,80923
520,11936
133
2,12385,16409
325,31573
34
1,53147,89170
1258,91273
84
1,92427,92860
513,96396
134
2,12710,47983
322,89701
35
1,54406,80443
1223,44564
85
1,92941,89257
507,95255
135
2,13033,37684
320,51398
36
1,55630,25007
1189,92232
86
1,93449,84512
502,08013
136
2,13353,89083
318,16587
37
1,56820,17240
1158,18725
87
1,93951,92526
496,34195
137
2,13672,05671
315,85192
38
1,57978,35966
1128,10104
88
1,94448,26721
490,73344
138
2,13987,90864
313,57138
39
1,59106,46070
1099,53843
89
1,94939,00066
485,25027
139
2,14301,48002
311,32354
40
1,60205,99913
1072,38653
90
1,95424,25094
479,88828
140
2,14612,80356
309,10769
41
1,61278,38567
1046,54336
91
1,95904,13923
474,64350
141
2,14921,91126
306,92317
42
1,62324,92903
1021,91651
92
1,96378,78273
469,51212
142
2,15228,83443
304,76930
43
1,63346,84555
998,42209
93
1,96848,29485
464,49050
143
2,15533,60374
302,64546
44
1,64345,26764
975,98372
94
1,97312,78535
459,57516
144
2,15836,24920
300,55101
45
1,65321,25137
954,53179
95
1,97772,36052
454,76277
145
2,16136,80022
298,48535
46
1,66275,78316
934,00262
96
1,98227,12330
450,05012
146
2,16435,28557
296,44789
47
1,67209,78579
914,33794
97
1,98677,17342
445,43414
147
2,16731,73347
294,43806
48
1,68124,12373
895,48426
98
1,99122,60756
440,91189
148
2,17026,17153
292,45530
49
1,69019,60800
877,39243
99
1,99563,51945
436,48054
149
2,17318,62684
290,49906
50
1,69897,00043
860,01717
100
2,00000,00000
432,13737
150
2,17609,12590
288,56882
This Demonstration reconstructs de Decker-Vlacq's table of common logarithms from Arithmetica Logarithmica (1628). The table consists of logarithms for numbers from 1 to 100000, 150 on each page. A page consists of three columns, each of 50 lines. A line consists of the number
n
,
log
10
(n)
calculated to 10 decimals, and the difference
log
10
(n+1)-
log
10
(n)
.
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