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 ?
uca Pacioli, de las Cuentas y las escrituras, Titulo Noveno.
In fall 2011, the officers of the Pacioli Accounting Club decided to research the IMA website to check out the benefits, and they were very excited to see that IMA offered an annual Student Leadership Conference (SLC).
It echoes, in its angles and symmetry, the mathematical methodology of Luca Pacioli and the tradition, as established in the Renaissance and the Baroque, of inspiring the viewer to reflect and contemplate the images presented.
A bit more care in editing would also have helped avoid errors such as describing Pacioli on page 48 as a Dominican friar and, two paragraphs later, describing him as a Franciscan.
While Pacioli was writing his book, (4) events in Spain soon would propel that country to the center of commerce and power.
Pacioli offers three different solutions, all of which, however,
After almost two millennia the Italian monk Luca Pacioli will draw attention to Plato's obsession for the middle as one of the key principles of geometry--harmonia mundi, what gave Kepler not just the title for his book but the way of his thought.
Such as noted by Leo's contemporaries including Luca Pacioli (Divina proportione of 1509), Bernardo Portinari (c.
Esta tradicion sera apuntalada por Euclides--quieralo el o no--mediante un resistente sistema geometrico, tendra uno de sus mas fuertes defensores en Proclo, conseguira sobrevivir en estado latente a la Edad Media, sera resucitada en la Edad Moderna por Della Francesca, Pacioli, Durero, Tartaglia, Da Vinci, Rodrigo Zamorano y Kepler, se mutara y tomara forma algebraica de la mano de Euler, en el siglo XX retornara a su mas puro origen platonico, al Timeo, y retomara la reflexion platonica originaria que ensambla fisica, matematica, ontologia, politica y etica en los escritos de Heisenberg, y es plena y absolutamente vigente en el momento presente gracias al platonismo del acontecimiento y de la inconmensurabilidad desarrollado por Badiou.
This was a ratio that was important both for Euclid and Vitruvius (see De architectura), but also for Plato and later in the Renaissance for Luca Pacioli (see Divina Proportione, 1509), Leonardo da Vinci and Pierro della Francesca.
If we asked ourselves for the beginning of a systematic attempt to deal with accountability and transparency, we should look back into the first half of the XVth century, when Venetians standardized the double-entry bookkeeping and it was published the path-breaking work of Luca Pacioli in 1494.
A utilizacao das demonstracoes financeiras ocorre desde o Renascimento, quando surgiram, com a publicacao em 1494 do livro Summa de arithmrtica, geometria et proportionalita de Luca Pacioli, as demonstracoes por meio do metodo das partidas dobradas.