On certain Early Logarithmic Tables. 371 



plane, and consequently that the direction of the oscillations 

 of the aether relative to the plane of polarization cannot be de- 

 termined as the theories and theoretical considerations of 

 Stokes*, Holtzmannf, LorenzJ, Lallemand§, and Strutt^f have 

 attempted to determine it, from the behaviour of diffracted 

 light. 



XL VI I. On certain Early Logarithmic Tables. 

 By Professor D. Bierens de Haan**. 



IN reference to a very interesting Note of Mr. J. W. L. 

 Glaisher's, I think I can give additional elucidation on 

 some points. I have now before me the two works of Ezechiel 

 de Decker, the first having the title : — 



EERSTE DEEL II VAN DE NIEVWE || TELKONST, || INHOVDENDE 

 VERSHEYDE || MANIEREN VAN REKENEN, WAER || door Seer 



licht konnen volbracht worden de Geo- || metrische ende Arith- 

 metische questien. || Eerst ghevonden van Ioanne Nepero 

 Heer || van Merchistoun, ende uyt het Latijn overgheset door || 

 Adrian vm Vlack. || Waer achter bygevoegt zijn eenige seer 

 lichte manieren van Rekenen \\ tot den Coophandel dienstigh, leer ende 

 alle ghemeene Rekeninghen || sonder ghebrokens af veerdighen. 

 Mitsgaders Nieuwe Tafels \\ van Interesten, noyt voor desen int 

 licht ghegeven. \\ Door Ezechiel de Decker, Rekenm r . || Lant- 

 meter, ende Liefhebber der Mathematische || kunst, residerende 

 ter Goude. || Noch is hier achter byghevoeght de Thiende van \\ 

 Symon Stevin van Brugghe. || Ter Govde, || By Pieter Ramma- 

 seyn, Boeck-verkooper inde corte || Groenendal, int Vergult 

 ABC. 1626. || Met Previlegie voor thien Iaren. 



Pages xii (not paged) ; A-Rr (page 1-308) ; a-q (128 pages, 

 not paged) ; A-D (pages 1-27), quarto. 



The first twelve pages contain, after the title, a copy of the 

 privilege; a dedication to the States General, to the Councillors 

 of Holland and West Frisia, to the Mayor and Sheriffs of the 

 town of Gouda ; a preface to the benevolent and scientific reader 

 (Voor-reden tot den Goetwilligen ende Konstlievenden Leser); 

 three sets of Latin verses by Patricius Sandaeus and Andreas 

 Junius ; the index (Register van alle de Hooftstucken) ; and the 

 table of errata (de Druck-fauten salmen aldnus verbeteren). 



The 39 following sheets, A-Rr (the sheet Cc has but four 



* Cambr. Trans, vol. ix. p. 35 (1851). 

 t Pogg. Ann. vol. xcix. p. 446 (1856). 

 X Ibid. vol. cxi. p. 321 (I860). 

 § Comptes Rendus, vol. lxix. p. 190 (1869). 

 % Phil. Mag. S. 4. vol.xli. p. 450 (1871). 

 ** Communicated by the Author. 



2B2 



