ON MATHEMATICAL TABLES. 103 



says that this edition was edited by Pere Pczenas, Pcre Dumas, and Pero 

 Elauchard, and adds that ho has given an errata-list in the ' Connaissanco 

 des Temps ' for 1775. On Dumas, mathematician of Lyons, who was La- 

 lande's first master, he gives a reference to the ' Journal des Savants,' No- 

 vember 1770. 



Tlie edition is very commonly known by the name of Pezonas. A good 

 deal about Pezenas will be found in Delambre's ' Histoire de I'Astronomic,' 

 pp. 368-386. He was born at Avignon in 1692, and died in 1770. 



The French edition is even better printed than the original, but is not 

 quite so accurate. A list of 85 errors is given by Hutton on p. 343 of his 

 mathematical tables in the edition of 1794, while he discovered only 69 

 in the original edition; more complete lists are to be found in the later 

 editions. 



Graesso (' Tresor') says that there was a reprint of Gardiner in octavo at 

 Florence by Canovai and Ricco. 



*Gardiner (Paris edition, 1773). Hogg gives the title of a Paris edition 

 of Gardiner, viz. 'Tables des Logarithmes de Gardiner, foL, Par. Chez Sail- 

 lard et Nyon, 1773,' which he takes from the * Journal litterairo do Berlin,' 

 t. vii. p. 318 ; but the fact that Lalande does not mention it seems to him 

 very suspicious : we have seen no other reference to it, and agree with Hogg. 



Garrard, 1789. This work contains only traverse and meridional part 

 tables. It is referred to here, as its title would imply that it was included 

 in the subject of the Report. 



Gordon, 1849. T. IX. Log sinea, tangents, and cosecants for every 

 minute from 6° to 90°, to 4 places. 



T. X. Proportional logarithms for every second to 3°, to 4 places : same 

 as T. 74 of Rapbr. • . 



T. XI. Small table to convert space into time. 



T. XVII. Half-sines and half-cosines, viz. halves of natural sines for 

 cvcrj' minute of the quadrant to four places, reckoned as seconds for the 

 purpose of adapting them to the table of proportional logarithms : thus, cor- 

 responding to 12° 40' we find as tabular result 18' 16" ; for the number of 

 seconds in this anglc = 1096, and i sin 12° 40'=-1096 . . . 



T. XVIII. Logarithms of the meridian distance, viz. log (|- vers sin x), 

 from .^=0'' to x=7^ 59'" 55^ at intervals of 5% to 4 places. 



T. XIX. Proportional logarithms for every minute to 24'', viz. log 1440 

 — log.r from x=l to a'=1440, to 4 places (arguments expressed in hoiu'S 

 and minutes). 



T. XXI. Proportional logarithms for one hour, viz. log 3600— log ,v 

 from cc=l to .r=3600, to 4 places (arguments expressed in minutes and 

 seconds). 



The other tables are nautical. 



Gregory, Woolhouse, and Hann, 1843. T. VIII. Proportional 

 logarithms for every second to 3°, to 4 places ; same as T. 74 of Rapek. 



T. IX. Log sines, tangents, and secants for every minute of the quadrant, 

 to 5 places. 



T. X. Natural sines to every minute of the quadrant, to 5 places. 



T. XI. Five-figure logarithms from 1000 to 10,000, with proportional 

 parts. 



T. XII. Proportional logarithms for every minute to 24'', to 4 places, viz. 

 log 1440— logo? from a;=l to 1440 at intervals of unity (arguments ex- 

 pressed in houi's and minutes). 



The other tables are nautical. 



