the original uncorrected work this error does not exist.

At the time when the calculation and publication of Taylor's Logarithms were undertaken, it so happened that a similar work was in progress in France; and it was not until the calculation of the French work was completed, that its author was informed of the publication of the English work. This circumstance caused the French calculator to relinquish the publication of his tables. The manuscript subsequently passed into the library of Delambre, and, after his death, was purchased at the sale of his books, by Mr Babbage, in whose possession it now is. Some years ago it was thought advisable to compare these manuscript tables with Taylor's Logarithms, with a view to ascertain the errors in each, but especially in Taylor. The two works were peculiarly well suited for the attainment of this end; as the circumstances under which they were produced, rendered it quite certain that they were computed independently of each other. The comparison was conducted under the direction of the late Dr Young, and the result was the detection of the following nineteen errors in Taylor's Logarithms. To enable those who used Taylor's Logarithms to make the necessary corrections in them, the corrections of the detected errors appeared as follows in the Nautical Almanac for 1832.

ERRATA, detected in Taylor's Logarithms. London: 4to, 1792.

			° ' "
1	E	Co-tangent of	1.35.35	for 43671	read 42671
2	M	Co-tangent of	4. 4.49	— 66976	—— 66979
3		Sine of	4.23.38	— 43107	—— 43007
4		Sine of	4.23.39	— 43381	—— 43281
5	S	Sine of	6.45.52	— 10001	—— 11001
6	Kk	Co-sine of	14.18. 3	— 3398	—— 3298
7	Ss	Tangent of	18. 1.56	— 5064	—— 6064
8	Aaa	Co-tangent of	21.11.14	— 6062	—— 5962
9	Ggg	Tangent of	23.48.19	— 6087	—— 5987
10		Co-tangent of	23.48.19	— 3913	—— 4013
11	Iii	Sine of	25. 5. 4	— 3173	—— 3183
12		Sine of	25. 5. 5	— 3218	—— 3228
13		Sine of	25. 5. 6	— 3263	—— 3273
14		Sine of	25. 5. 7	— 3308	—— 3318
15		Sine of	25. 5. 8	— 3353	—— 3363
16		Sine of	25. 5. 9	— 3398	—— 3408
17	Qqq	Tangent of	28.19.39	— 6302	—— 6402
18	4H	Tangent of	35.55.51	— 1681	—— 1581
19	4K	Co-sine of	37.29. 2	— 5503	—— 5603

An error being detected in this list of ERRATA, we find, in the Nautical Almanac for the year 1833, the following ERRATUM of the ERRATA of Taylor's Logarithms:—

'In the list of ERRATA detected in Taylor's Logarithms, for cos. 4°