Works

 

Pedro Nunes (1502 - 1578)

Mathematics, Cosmography and Nautical Science in the 16th century.

 

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Modern Edition

 

Nunes, Pedro,  Obras, Volume I: Tratado da Sphera; Astronomici introductorii de spaera epitome (Lisboa: Fundação Calouste Gulbenkian, 2002).

 

Nunes, Pedro, Obras, Volume II: De Crepusculis,(Lisboa: Fundação Calouste Gulbenkian, 2003).

 

Nunes, Pedro, Obras, Volume III: De erratis Orontii Finaei (Lisboa: Fundação Calouste Gulbenkian, 2005).

 

Nunes, Pedro, Obras, Volume IV : De arte atque ratione nauigandi (Lisboa: Fundação Calouste Gulbenkian, 2008)

 

Nunes, Pedro, In Theoricas Planetarum Georgii Purbachii Annotationes, Obras, Volume V (Lisboa: Fundação Calouste Gulbenkian, 2011)

 

 

Nunes, Pedro, Obras, Volume VI

(Lisboa: Fundação Calouste Gulbenkian, 2010)

(Libro de algebra en arithmetica y geometria)

 

 

Buy @ Gulbenkian Foundation
 

 

Tratado da Sphera, 1537

 

Nunes' Portuguese translation of Sacrobosco's Tractatus de Sphaera, the chapters on the Sun and Moon from Peuerbach's Theoricae nouae planetarum, and Book I of Ptolemy's Geographia.

Most importantly this book contains two original works on navigation: Tratado que ho doutor Pêro nunez fez sobre certas duuidas de nauegação and Tratado (...) em defensam da carta de marear.

This two works signal the beginning of mathematical navigation.

 

 

See online:

 

Biblioteca Nacional de Portugal (link)

Biblioteca da Faculdade de Ciências da Universidade do Porto (link)

Biblioteca de la Universidade de Sevilla (link)

De crepusculis, 1542

 

In this book Pedro Nunes adresses the problem of the duration of twilights. He explained that this duration depends of the place of the observer and of the time of the year and, for the first time, established the mathematical conditions to observe a minimum twilight.

It was also in this work that Nunes presents the concept of a nonius scale.

 

 

See online:

 

Biblioteca Nacional de Portugal: (link)

Biblioteca da Faculdade de Ciências da Universidade do Porto: (link)

 

 

De erratis Orontii Finaei, 1546

 

A refutation of Oronce Finé's (professor at the Collège Royal de Paris) claim to have solved the three classical mathematical problems (to double a cube, to trisect an arbitrary angle, and to square a circle)

 

 

See online:

Biblioteca de la Universidad de Sevilla: (link)

Istituto e Museo di Storia della Scienza: (link)

 

 

 

Petri Nonii Salaciensis Opera, 1566

 

Latin translation of the Tratado (...) sobre certas duuidas de nauegação and a much more extended version of the Tratado (...) em defensam da carta de marear.

 

The book contains many new results and is perhaps Nunes' most important publication. Of special interest is the first presentation of a mathematical theory fr the loxodromic curve.

 

 

See online:

 

Biblioteca Nacional de Portugal: (link)

Biblioteca da Faculdade de Ciências da Universidade do Porto: (link)

Biblioteca de la Universidad de Sevilla: (link)

Wolfenbüttel Bibliothek: (link)

 

 

Libro de Algebra, 1567

 

Nunes started working in the manuscript of this book about 30 years before its publication.

The book is divided in three parts. In the first, Nunes dealt with the resolution of first and second degree equations with one variable; in the second, dealt with proportions and algebraic calculus; in the third, again with equations resolutions, including third degree equations.

 

 

See online:

 

Biblioteca da Faculdade de Letras da Universidade de Lisboa: (link)

Universidad Complutense de Madrid: (link)

Google Books: (link)

 

De crepusculis, Second edition (Coimbricae: Antonius a Marijs, 1571).

 

 

See online:

 

Biblioteca Fondación San Millán de la Cogolla: (link)

 

 

 

 

 

 

 

De arte atque ratione navigandi, 1573

 

The first edition of Petri Nonii Salaciencis Opera came out with many errors. Nunes decided to publish this improved second edition in Portugal, under a diferent name.

 

 

See online:

 

Biblioteca Nacional de Portugal: (link)

Biblioteca Geral da Universidade de Coimbra: (link)

Biblioteca da Faculdade de Ciências da Universidade do Porto: (link)

Biblioteca Fondación San Millán de la Cogolla: (link)

European Cultural Heritage Online: (link)

 

Petri Nonii Salaciensis Opera, (Basileae: officina Henricpetrina, 1592)

 

A "second" edition of Nunes' Opera, by the same printer of the first edition. This used folios from the 1566's edition but followed the internal organization of De arte atque ratione navigandi. Nevertheless, the mistakes found in the first edition were not corrected.

 

 

See online:

 

Biblioteca da Faculdade de Ciências da Universidade do Porto: (link)

 

 

 

 

 

Vinet's Sphere with Nunes' Annotatio (1556 edition):

 

Nunes' Annotatio in extrema verba capitis de climatibus (Notes on the last words of climate's chapter from Sacrobosco's Tractatus de sphaera) was definitly his more published text.

This happened because it was included in Élie Vinet's (1509-1587) many editions of Tractatus de sphaera.

 

 

See online:

 

Biblioteca de la Universidad de Sevilla: (link)

 

 

 
Manuscripts:

[Manuscrito de Florença], Florence, Biblioteca Nazionale Centrale de Firenze, codice palatino 825.

 

 
  Lost Works:

 

Geometria dos triangulos spheraes.

De ortu et occasu signorum.

De astrolabio opus demonstrantiuum.

De planisphaerio geometrico.

De globo delineando ad nauigandi artem.

Vitruvius' De Architectura translation.

 


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Bruno Almeida and Henrique Leitão (Centre for the History of Sciences, Lisbon University)