Zinner 1968, 123), followed by another treatise by Cusanus from 1462 (p. 13–15) is a refutation of Cusanus's claims without title (starting with capacitates omnium poligoniarum, probably by Toscanelli, cf. The style of the dialogue is Platonic, in the sense that the contributions of the speakers are rather short and lively. Cusanus had written this dialogue in order to explain Toscanelli his thoughts and had also sent a copy to Regiomontanus's teacher Georg von Peuerbach. 10–12, original Dialogus de circuli quadratura from 1457), in which Nicolaus Cusanus lets his own persona explain his method of squaring the circle to Paulus, a physician from Florence, which can be identified as Cusanus’s friend Toscanelli (cf.
An interesting feature is the following dialogue (p.
5–9, original De circuli quadratura from 1450). It begins with an epitome of Cusanus’s prose treatise on squaring the circle (p. The collection is divided in two major parts containing various texts: The first part consists of several texts by Cusanus including his treatise on squaring the circle and probably also one by Paolo dal Pozzo Toscanelli. Schöner then goes on to tell the history of research on the squaring of the circle starting with Anaxagoras and gives an overview of the content of the libellus. In a letter to Georg Tannstetter, Schöner describes how he found a small book ( libellus) in Regiomontanus’s library containing the latter’s refutation of Cusanus’s construction and decided to dedicate its publication to Tannstetter. This collection has a new title page with a Greek poem by Joachim Camerarius praising Regiomontanus and his teacher Peurbach. It was published after Regiomontanus’s death (1476) by Johannes Schöner as an appendix to De triangulis omnimodis in 1533. Letter, Dialogue, Other (see description)Īs the Greek description by Regiomontanus indicates, this is a diverse (ποικίλα) collection of refutations of Nicolaus Cusanus’s (incorrect) method of squaring the circle. Ioannis de Regiomonte Germani, nationis Franciae, mathematicarum disciplinarum principis, De quadratura circuli dialogus et rationes diversae seperatim aliquot libellis exquisitae ad ea de re Cardinalis Cusani tradita et inventa, quibus auctor haec praescripsit verba Graeca, quae, ne quid illius subtrahemus studiosis, subici curavimus: ἐπιχειρήματα ποικίλα πρὸς τοὺς τοῦ κύκλου τετραγωνισμοὺς Νικόλεω τοὺ Κουσαίου ἐκδεδομένους Regiomontanus, Johannes, Nikolaus, von Kues, Kardinal
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