Recognizing the value of an intellectual centre, he made Reykjavik not only the political, but the spiritual capital of Iceland by removing all the chief institutions of learning to that city; he was the soul of many literary and political societies, and the chief editor of the Ny Felagsrit, which has done more than any other Icelandic periodical to promote the cause of civilization and progress in Iceland.
In connexion with the university are the observatory, the chemical laboratory in Ny Vester Gade, the surgical academy in Bredgade, founded in 1786, and the botanic garden.
The former may be rendered ny the sculptor or the painter in stone, on wood, &c., with great lelicacy of detail, or may be simply sunk or painted in outline.
In the case of a recurring continued fraction which represents N, where N is an integer, if n is the number of partial quotients in the recurring cycle, and pnr/gnr the nr th convergent, then p 2 nr - Ng2nr = (- I) nr, whence, if n is odd, integral solutions of the indeterminate equation x 2 - Ny 2 = I (the so-called Pellian equation) can be found.
The results, however, of modern observers and scholars must be sought for in the periodicals, Safn, Felagsrit, Ny Felagsrit and others.