Luca Pacioli

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Pacioli, Luca


Born circa 1445; died after 1509. Italian mathematician; mathematics teacher.

In 1494, Pacioli published Summa de arithmetica, geometria, proportions et proportionalita, a work dealing with arithmetic operations and with algebraic equations and the application of such equations to geometry. Under the influence of his friend Leonardo da Vinci, he spent the years from 1496 to 1499 writing De divina proportione (published 1509). This treatise contains a theory of geometric proportions, notably the rules for the golden section—the division of a line in extreme and mean ratio.


Cantor, M. Vorlesungen über Geschichte der Mathematik, 2nd ed., vol. 2. Leipzig, 1913.
References in periodicals archive ?
Since the Renaissance, traditional art has been greatly influenced by Leonardo da Vinci and the mathematician Luca Pacioli, whose best-selling book Divina Proportione was published in 1509.
Da Vinci was working on "The Last Supper" and also illustrating Pacioli's mathematical treatise on proportion, De Divina Proportione.
The 58 works on display, elegantly mounted and lit, are mainly single-sheet drawings, all from London collections or Windsor, together with the V&A's three Forster codices and a copy of Luca Pacioli's De divina proportione.
The title of the book refers to Luca Pacioli's treatise De divina proportione (1509) and is indicative of the author's interest in numerology and its application to literary research.
And subsequent systems in common use--particularly those created by Albrecht Durer and Geofrey Tory--evolved from my work in De Divina Proportione.
The third conforms to the project's 'universal' spirit: 'Leonardo and the Mathematical Arts' at the Museum of the History of Science will present the diagrams that Leonado drew for De Divina Proportione by fellow Milanese courtier Luca Pacioli.
Pacioli's Summa de arithmetica, printed in 1494, may be the most elegant and compendious of all vernacular manuals, while the De Divina Proportione, printed in 1509, applies mathematics to the order underlying the cosmos, with particular emphasis on the Golden Section.