Luca Pacioli, "De viribus quantitatis"

De viribus quantitatis (Ms. Università degli Studi di Bologna, 1496–1508), a treatise on mathematics and magic. Written between 1496 and 1508 it contains the first reference to card tricks as well as guidance on how to juggle, eat fire and make coins dance. It is the first work to note that Leonardo was left-handed. De viribus quantitatis is divided into three sections: mathematical problems, puzzles and tricks, and a collection of proverbs and verses. The book has been described as the "foundation of modern magic and numerical puzzles", but it was never published and sat in the archives of the University of Bologna, seen only by a small number of scholars since the Middle Ages. The book was rediscovered after David Singmaster, a mathematician, came across a reference to it in a 19th-century manuscript. An English translation was published for the first time in 2007.[
I found this snippet: ... CE8Q6AEwBg

I found the text (handwritten, but good readable) ... index.html
but better studied from this page ... zione.html
in three partitions with content
... but I don't know, if this will be of big help.

Re: Luca Pacioli, "De viribus quantitatis"

One article in full (which briefly mentions "trionphi") and part of another (preceding it), the one in full on the magic tricks, especially card tricks in De Viribus and the other on it and other works and his life, are reproduced in Google Books at ... si&f=false

The full article starts on p. 123. I have made some comments on the card tricks there, in relation to the Magician card, at viewtopic.php?f=23&t=384&start=100#p19547.

Re: Luca Pacioli, "De viribus quantitatis"

Crossing with another thread ...
Fra Luca di Paccioli related to Leon_Battista_Alberti in 1471 (1496 he meets Leonardo da Vinci)

Luca di Borgo : birth 1445 in Borgo Sansepolcro Toscane - death1517 in Rome

Pythagorean essay :
De divina proportione (written Milan 1496-1498 and published Venise 1509)

The games he wrote about were :
A (lost) Treaty on Chess rediscovered 2006
De ludo scacchorum
Times online : Renaissance chess master and the Da Vinci decode mystery
New York Times : Checkmate again for Leonardo? Chess book's diagrams are linked to artist

Magic trick cards
De viribus quantitatis, (1496-1508)
Mathknow: Mathematics, Applied Science and Real Life (Sous la direction de Michele Emmer et Alfio M. Quarteroni) page 193 (Editions Springer)

Maybe also the Treaty on Abacus was related to Boethius ?
Never published -Vatican Library codice Vaticano Urbinate 3129

Re: Luca Pacioli, "De viribus quantitatis"

The part about his being with (aupres de, French Wikipedia says) Leon Alberti was new to me; English Wikipedia doesn't mention it. Looking at the French Wikipedia article at that point, I see no reference. Perhaps it is just speculation. They were both in the same city at the same time and both interested in problems of perspective and geometry. So it makes sense that they would have known each other. I just wonder if there is some record of it.

Re: Luca Pacioli, "De viribus quantitatis"

3 references.
There should be a lot more.
The last one is the most interesting and the better documentad I believe...

Sciences de la Renaissance Page 93

Rome 1470 : he is living in Alberti's home ... li&f=false

The Mathematics of Harmony Chapter & Page 47


Piero della Francessa introduces Paccioli to his new mentor : Alberti ... li&f=false

Les grands auteurs en comptabiité page 15

1464 : Court of Federigo de Montefeltro (Urbino) : Alberti makes him the teacher of Antoni Rompasi ... &q&f=false

In all the data offered by the 3 references , also of interest to me is that he is presentad to Francisco de la Rovere Pope in 1471 (RIP Aberti 1472) and becomes friend of Juliano de la Rovere : Cardinalat Avignon 1476-1503, Pope 1503 - 1513 (if my memory is good).
We have studied attentively de la Rovere connections in Avignon in another thread...

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