lUUHUsius. 27 



versibus scripta ante annos plus minus 190;" in the ninth Chapter 

 of the Algebra the date of about 1550 is assigned to Buckley's 

 death. 



89. We must now notice an example of combinations which 

 is of historical notoriety although it is very slightly connected 

 with the theory. 



A book was published at Antwerp in 1617 by Erycius Pu- 

 teanus under the title, Erycii Puteani Fietatis TJiaumata in 

 Bernardi Bauhusii ^ Societate Jesu Proteum Parthenium. The 

 book consists of IIG quarto pages, exclusive of seven pages, not 

 numbered, which contain an Index, Censura, Summa Privilegii, 

 and a typographical ornament. 



It appears that Bernardus Bauhusius composed the following 

 line in honour of the Virgin Mary : 



Tot tibi sunt dotes, Virgo, quot sidera copIo. 



This verse is arranged in 1022 different ways, occupying 48 pages 

 of the work. First we have 54 arrangements commencing Tot tibi; 

 then 25 arrangements commencing Tot sunt; and so on. Although 

 these arrangements are sometimes ascribed to Puteanus, they ajD- 

 pear from the dedication of the book to be the work of Bauhusius 

 himself; Puteanus supplies verses of his own and a series of chap- 

 ters in prose which he calls Thaumata, and which are distinguished 

 by the Greek letters from A to O inclusive. The number 1022 is 

 the same as the number of the stars accordino- to Ptolemy's Cata- 

 logue, wdiich coincidence Puteanus seems to consider the great 

 merit of the labours of Bauhusius ; see his page 82. 



It is to be observed that Bauhusius did not profess to include 

 all the possible arrangements of his line; he expressly rejected those 

 which would have conveyed a sense inconsistent with the glory of 

 the Virgin Mary. As Puteanus sa3\s, page 103, 

 Dicere horruit Vates : 



Sidera tot ca?lo, Virgo, quot sunt tibi Dotes, 



imb in hunc sensum producere Proteum recusavit, ne laudem immi- 

 nueret. Sic igitur contraxit versuum numerum ; ut Dotium augeret. 



40. The line due to Bauhusius on account of its numerous 

 an-angements seems to have attracted gi'eat attention during the 

 following century ; the discussion on the subject was finally settled 



