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:--