- Tytuł:
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O Janie Brożku – Varia
Jan Brożek – Varia - Autorzy:
- PELCZAR, Andrzej
- Powiązania:
- https://bibliotekanauki.pl/articles/520454.pdf
- Data publikacji:
- 2010
- Wydawca:
- Polska Akademia Umiejętności
- Opis:
- A mathematician, astronomer, physician, theologian, professor at the Kraków Academia, Joannes (Ioannes) Broscius (1585-1652) used this Latin form of his name. He was matriculated to the Academia as Brozek or Brożek (compare the picture 1) but after that his name appeared only in a latinized form Broscius (including his own signatures). The author of the fundamental biography of Broscius (cf. [30] in references) recognized the Polish version in the form Brożek (exposing his opinion even in the title of the book) and after him almost all authors writing about Broscius shared his view. However, Krzysztof Tatarkiewicz (cf. [77]-[82]) suggested recently that this form is most probably incorrect and claimed that the Polish version of the name Broscius is Brzozek. The author of the present note argued in [62], [63] that such an opinion is not fully justified. In particular in [63] there are presented arguments based on an analysis of the shapes of records handwritten in the original university matriculation book and – first of all – on historical data of appearance of particular Polish names established by K.Rymut (cf. [70]). These arguments are repeated here. The conclusion is that the most probable version seems to be Brożek, a possible one – Brozek, but absolutely improbable Brzozek, since the earliest date of the appearance of Brożek is 1335, of Brozek – 1628, while Brzozek was not noted before 1800. So the name Brożek (with the first name Jan) in the Polish version is used throughout the paper. Some remarks on the date of the birth of Brożek are added (referred to [45]). Curriculum vitae of the hero of the article is recalled in brief, as well as his academic career. Certain remarks on some books written by Brożek are presented in the sequel. The first book published by Brożek was Gæodesia distantiarum sine instrumento & Polybii Locus Obscvrior geometricè explicatur, Cracoviæ 1610 (notice that in this year Brożek received the degree magister of artes liberals and the doctorate of philosophy). There are presented remarks on practical methods of distance measuring by applying the Thales theorem, and – in the second part of the book – some comments on some chapters of the History written by Polybios (the title of one of Latin versions: Lycortæ F. Megalopolitani Historiarum). There were discussion on estimations (possibilities of such estimations) of measures of planar domains under the assumption that lengths of their boundaries are known. In the Polybios book such questions were mentioned but – according to Brożek – not precisely explained. He presented them in a rigorous geometrical way (according to the level of logic strictness admitted at that time in the XVII-th century) pointing out that it is impossible to deduce how large is a domain if we know only how long is its boundary and claiming that for instance among planar domains having the boundaries with the same length the largest measure has the disk. It is interesting that the Polybios book in the version used by Brożek was edited in 1610, that is in the same year he published his own book “reacting” to the Polybios History (there are handwritten remarks of Brożek on this Polybios book). Thus printing procedure in Kraków was very fast at first decade of the XVII-th century. The second Brożek’s book Problema Geometricum. In quo ex Geometriae fundamentis vera & propria causa redditur, quare apes Hexagona figura fauos construant was printed in 1611. An analysis of shapes of cells built by beans is presented again in the context of the most economical relations between the measures of surfaces and the length of their boundaries and – simultaneously – the classical problem of filling up the plane with canonical hexagons. Two much more important books: Arithmetica Integrorum. Edita à M. Ioannes Broscio Cvrzeloviensi, Cracoviæ 1620 and Apologia pro Aristotele & Euclide contra Petrum Ramvm, & alios. Addite sunt Dvæ Disceptationes De Numeris perfectis, Dantisci 1652 are commented in sections 5 and 6. Let us mention only one remark among those concerning the first of them. Brożek noticed that in 1614 there were logarithms introduced to mathematics by John Neper. Presenting them in his Arithmetica he expressed his enchantment over this new notion (and its application). In Apologia, the last – and probably the most important book of Brożek – there are interesting reasonings and statements concerning planar and spatial (three dimensional) geometry. In the second part of this book (De Numeris perfectis) several important contributions to the theory of prime and perfect numbers are added. The article is closed by remarks on a “copybook” in which Brożek noted several observations and mathematical ideas. There are in particular some pages filled up by text, calculations and pictures forming clearly a draft for the Apologia…, mentioned above.
- Źródło:
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Prace Komisji Historii Nauki PAU; 2010, 10; 41-82
1731-6715 - Pojawia się w:
- Prace Komisji Historii Nauki PAU
- Dostawca treści:
- Biblioteka Nauki
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