Paul Halcke

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Engraving by H. Westphalen

Paul Halcke ( also: Paul Halcken or Paul Halke ), called "the halting one" (* 1662 ; † 1731 in Buxtehude ) was a German mathematician , typist , arithmetic master and calendar maker .

He was the brother of the typist and arithmetic master Johann Halcke and was in 1690 with Heinrich Meißner a founding member of the Hamburgische Kunst -rechnung- loving and practicing society, today the Mathematical Society in Hamburg . From about 1687 he was typist and arithmetic master at the city school in Buxtehude.

Title page of the "Deliciæ Mathematicæ"

In 1694 he published a solution book for Heinrich Meißner's collection of exercises Arithmetischer Kunst-Spiegel . He later wrote his own collection of 574 problems from mathematics and astronomy, the Mathematische Sinnen-Confect , which was translated into various languages ​​and was considered a standard work for 100 years. The tasks are always enriched with poems and descriptions of solution methods. On page 256 he presents the following exercise 289, with the solution of which he is considered the discoverer of the smallest Euler brick :

Paul Halcke Euler Brick.jpg

This tile has edges with integral lengths 44, 117, 240 and surface diagonals with integral lengths 125, 244, 267.

He also published various folk calendars for the years 1705, 1707, 1715, 1716 and 1725.

Works (selection)

  • Mr. Heinrich Meißner's Ao 1679 so-called Arithmetic Art Mirror: Existing In three hundred six and thirty unread artificial arithmetic: Algebrai: Polygonal: Geometr: and astronomical tasks / which all have reasons solved ...; to which an artificial appendix was added. Therein contain the newly invented general rules / through which one can find the Cossian balances on all and every number their infinite aggregates ... / presented / by Paul Halken / appointed typist and arithmetic master in Buxtehude .... Jn transfer Gottfried Liebzeitens, bookseller in Hamburg and Stokkholm / is printed by Hinrich von Wiering / the Societät Buchdrukker / 1694
  • Deliciæ Mathematicæ, or Mathematisches Sinnen-Confect /: Consists of five hundred four and seventy selected / in part even artful algebra, geometrical and astronomical tasks / adorned with many artificial solutions and rules / specialty of a curious invention of the logarithmorum, from the Qvadratura Circuli. .. and other meaningful things more; In addition to a preparation / including the algebraic fundamentals, as well as the most fundamentally correct rules of the Qvadrat-Cubic and Zens-Zensi-Coss are shown (Wolgemuht, 1719) - 382 pages.
  • Paul Halcke, Jacob Oostwoud: Mathematisch zinnen-confect, of wiskundige uytspanningen ter beoeffeningen van het verstand ... , Verlag Te Purmerende, Pieter Jordaan, 1767.
  • Improved Hamburg curiosities calendar on the 1715th year of Christ. Inside / in addition to the usual calendar work / dealt with / Different mathematical - physical - and historical curiosities / what is going on in heaven and on earth that is worthy of Merck / all and every lovers for well-meaning replacement / Dabey also at the same time the Julian calendar / to whom Mr. Kauff- Completely presented to people and correspondents for services / and described with diligence by Paul Halcken, Mathem. In the Socieatät der Kunst-Calculator / the holding.

Individual evidence

  1. ↑ Tyrocinium Mercatorio-Arithmeticum, that is: Ordinary Basic Legung for the Commercial Invoice, ... S. , accessed on June 6, 2016
  2. ↑ CERL Thesaurus , accessed June 6, 2016

Web links

personal data
SURNAME Halcke, Paul
ALTERNATIVE NAMES Halcke, Paulus; Holding, who; The one holding; Halke, Paul; Halken, Paul; Halcken, Paul; Halcken, Paulo
BRIEF DESCRIPTION German mathematician, typist and mathematician and calendar maker
DATE OF BIRTH 1662
PLACE OF BIRTH unsure: Uetersen
DATE OF DEATH 1731
Place of death Buxtehude