388 
(Bibl. Math. 1797—1804, t. ii. p. 199) gives the title correctly, 
and marks it with an asterisk to show that he has seen the 
work himself. Rogg (Bibl. Math. 1830, p. 142) merely has, 
“Hohenburg, Gregor (sic) Herwardt ab, tabule arithmetice 
mpoobahaipecews universales, 1610.” Neither Weidler (Bidl. 
Ast. 1755), Deschales (Cur. sew Mund. Math. 1690), Lalande 
(Bibl. Ast. 1803), nor Delambre (Hist. de [ Ast. mod. 1821), 
mention the work; but there is a reference to it in Leslie’s 
Philosophy of Arithmetic (2nd edit. 1820, p. 246). In his 
article on tables in the English Cyclopedia (1863) De Morgan 
wrote, “The table goes up to 1000 x 1000, each page taking 
one multiplier complete. There are then a thousand odd 
pages, and as the paper is thick, the folio is almost unique in 
thickness. There is a short preface of seven pages, containing 
examples of application to spherical triangles. It is truly 
remarkable that while the difficulties of trigonometrical calcu- 
lation were stimulating the invention of logarithms, they were 
also giving rise to this the earliest work of extensively tabulated 
multiplication. Herwart passes for the author, but nothing 
indicates more than that the manuscript was found in his 
collection. The book is excessively rare, a copy sold by auction 
a few years ago was the only one we ever saw.’ Graesse 
(Trésor de livres rares, 1859—1867) says that by the book the 
use of logarithms was first spread in Germany, which is of 
course erroneous. } 
Herwart was Chancellor of the Palatinate of Bavaria, and 
published several other works (the most complete list is in the 
Bodleian Catalogue), among which his “Ludovicus IV. imperator 
defensus (Munich, 1618—19)” is the best known. In the 
Biographie Universelle it is described as still useful for the 
history of Germany; and Scheibel speaks of Herwart as “der 
beriihmte Staatsmann und Geschichtschreiber.” 
While I was engaged in preparing the report of the British 
Association Committee on mathematical tables, I endeavoured 
