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the practical engineer; and it may be that the mixture of the Tables, which are now reprinted, with others of a less general character, and with collections of mathematical formulæ, prevented practical men from seeing how great an accession of calculating power was within their reach.

It must be added, that the type and paper were of the worst quality, and that a combination of circumstances kept the work out of sight; so that it was rarely to be met with, even among second-hand booksellers (though often asked for), at the very time when no inconsiderable portion of the original stock remained with the person who had succeeded to the rights of the publisher over the rest of the edition.

An arrangement having been made, by which the copyright of the portion described in the above title has passed into the possession of Messrs. TAYLOR and WALTON, that part of the original work has been republished, in the same type, and with the same precautions for insuring accuracy, as used in the lately published Tables of Logarithms.

To all who are aware that very many of the instances in which calculation is required by the engineer, architect, &c., arise out of the necessity of finding, either by direct computation or by logarithms, those results which will now be tabulated and obtained by inspection, nothing need be said in favour of the undertaking. To the actuary and money calculator the Table of Reciprocals will be found of the highest value.

The work is accompanied by an explanation of the mode of using the tables. The subjoined specimen will shew the extent of the parts and the arrangement of the whole.

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1910 64 81 00
1911 365 1921
1912 365 57 44
1913 36595 69
1914 366 3396
1915 3 66 7225
1916 367 10 56
1917 367 48 89
1918 367 87 24
1919 368 25 61
1920 3 68 64 00
1921 3 69 02 41
1922 3 69 40 84
1923 3 69 79 29
1924 3 70 1776
1925 370 56 25
1926 3 70 94 76
1927 371 33 29
1928 3717184
1929 3 72 10 41
1930 3 72 49 00
1931 372 87 61
1932 373 26 24
1933 373 6489
1934 374 03 56
1935 3 74 42 25
1936 3 74 80 96
1937 375 19 69
1938 375 58 44
1939 37597 21
1940 3 76 36 00
1941 376 7481
1942 3 77 13 64
1943 377 52 49
1944 377 91 36
1945 378 30 25
1946 378 69 16
1947 379 08 09
1948 3 79 47 04
1949 3 79 86 01
1950 3 80 25 00

Cube.

6 869 835 701
6 880 682 808
6891 541 327
902 411 264
6913 292 625
6924 185 416
6 935 089 643
6946 005 312
6956932 429
6967 871 000
6978 821031
6989 782 528
7 000 755 497
7011 739 944
7 022 735 875
7033 743 296
7044 762 213
7055 792 632
7066 834 559
7077 888 000
7088 952 961
7 100 029 448
7 111 117 467
7 122 217 024
7 133 328 125
7 144 450 776
7 155 584 983
7 166 730 752
7 177 888 089
7 189 057 000
7 200 237 491
7211 429 568
7 222 633 237
7233 848 504
7 245 075 375
| 7256 313 856
7 267 563 953
7278 825 672
7 290 099 019
7 301 384 000
7 312 680 621
7 323 988 888
7 335 308 807
7 346 640 384
7 357 983 625
7 369 338 536
7 380 705 123
7 392 083 392
7 403 473 349
7 414 875 000

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43 6692111 12 4008151 5243838
43.6806593 12°4029823 5241090
43.6921045 12°4051488 5238345
43°7035467 12°4073145 5235602
43 7149860 12°4094794 5232862
43°7264222 | 12°4116436 5230126
43°7378554 12°4138070 5227392
43°7492857 12°4159697 | 5224660
43°7607129 12°4181316 | 5221932
43°7721373 12°4202928 5219207
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43°7949768 12°4246129 5213764
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43.8178046 12°4289300 5208333
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43 8748219 12 4397097 5194805
43.8862165 12 4418634 5192108
43°8976081 12°4440163 5189414
43 9089968 12:4461685 5186722
43°9203825 12 4483200 5184033
43°9317652 12°4504707 5181347
43°9431451 12°4526206 5178664
43 9545220 12 4547699 5175983
43′9658959 | 12°4569184 517330f
43 9772668 12:4590661 5170631
43°9886349 12.4612131 5167959
44 0000000 12 4633594 5165289
44°0113622 12°4655049 5162623
44 0227214 12°4676497 5159959
44°0340777 12°4697937 5157298
440454311 12°4719370 5154639
44°0567815 12°4740796 5151984
44°0681291 12°4762214 5149331
44 0794737 12 4783625 5146680
44 0908154 12°4805029 5144033
44°1021541 12 4826426 5141388
44 1134900 12 4847815 5138746)
44°1248229 12 4869197 5136107
44°1361530 12:4890571 5133470
44°1474801 12 4911938 5130836
44°1588043 12 4933298 5128205

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Num. Square.

1951 380 6401 1952 38103 04 1953 3 8142 09 1954 38181 16 1955 3 82 20 25 1956 3 82 59 36 1957 3 82 98 49 1958 383 37 64 1959 3 83 76 81 1960 3 84 16 00 1961 384 55 21 1962 3 84 94 44 1963 385 33 69 1964 385 72 96 1965 386 12 25 1966 386 51 56 1967 3 86 90 89 1968 387 30 24 1969 387 69 61 1970 3 88 09 00 1971 388 48 41 1972 3 88 87 84 1973 389 27 29 1974 3 89 66 76 1975 390 06 25 1976 390 45 76 1977 390 85 29 1978 391 24 84 1979 3916441 1980 392 04 00 1981 392 43 61 1982 392 83 24 1983 393 22 89 1984 393 62 56 1985 394 02 25 1986 394 41 96 1987 39481 69 1988 395 2144 1989 3956121 1990 396 01 00 1991 396 40 81 1992 396 80 64 1993 397 20 49 1994 397 60 36 1995 398 00 25 1996 398 40 16 1997 398 80 og 1998 399 20 04 1999 399 60 01 4. 00 00 00

2000

Cube.

7426 288 351 7437 713 408 7449 150 177 7 460 598 664 7 472 058 875 7483 530 816 7 495 014493 7 506 509 912 7518 017 079 7 529 536 000 7 541 066 681 7 552 609 128 7 564 163 347 7 575 729 344 7 587 307 125 7 598 896 696 7610 498 063 7 622 111 232 7633 736 209 7 645 373 000 7657 021611 7668 682 048 7 680 354 317 7 692 038 424 7 703 734 375 7715442 176 7 727 161833 7738 893 352 7750 636 739 7 762 392 000 7 774 159 141 7785938 168 7 797 729 087 7809 531 904 7821 346 625 7833 173256 7845 011 803 7856 862 272 7868 724 669 7 880 599 000 7 892 485 271 7904 383 488 7916 293 657 7928 215 784 7940 149 875 7952 095 936 7 964 053 973 7976 023 992 7 988 005 999 8 000 000 000

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40

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