. Leonardo da Vinci, artist, thinker and man of science. , for whilea professor of civil lawenjoyed an annual salaryof 3,600 lire, he receivedno more than 310. From1496 to 1499 Pacioliworked side by side withLeonardo, to whom hedevotes a generous eulo-gium in his De DivinaProportioned After thefall of Lodovico, Pacioliquitted Milan at the same time as Leonardo. In 1500 we find him ^ I reprinted this preface in Les Archives des Arts, p. 34 ef seq. In one of thosenow incomprehensible memoranda with which he filled his notebooks, Leonardo writes,Learn the multiplication of roots from Maestro Luca


. Leonardo da Vinci, artist, thinker and man of science. , for whilea professor of civil lawenjoyed an annual salaryof 3,600 lire, he receivedno more than 310. From1496 to 1499 Pacioliworked side by side withLeonardo, to whom hedevotes a generous eulo-gium in his De DivinaProportioned After thefall of Lodovico, Pacioliquitted Milan at the same time as Leonardo. In 1500 we find him ^ I reprinted this preface in Les Archives des Arts, p. 34 ef seq. In one of thosenow incomprehensible memoranda with which he filled his notebooks, Leonardo writes,Learn the multiplication of roots from Maestro Luca. Richter, vol. ii., p. 433. 2 Finished in December, 1497. The dedication is dated February, 1498. The workwas not published until 1509. The Divina Proportione itself is followed by Libellus intres partiales tractatus divisus quinque corporum regularium et dependentium, activseperscrutationis, D. Petro Soderino principi perpetuo populi florentini, a M. Luca PacioloBurgense Minoritano particularitur dicatus. Feliciter incipit. (27 folios.) Next come K K. GROTESQUE HEADS. (Windsor Library.) 250 LEONARDO DA VINCI living once more at Perugia, and afterwards with da Vinci atFlorence.^ Here, in 1509, he dedicated to the Gonfaloniere Soderinihis Divina Proportione, which had previously borne a dedication toII Moro, In the meantime, between 1500 and 1505,^ he had beenteaching at Pisa, and had, in 1508, put in an appearance at 1510 we find him again in Perugia, after which all trace of himis lost. The following headings will give some idea of the contents of thisstrange compilation. Perspective, like music, and for the same reason,forms a branch of mathematics (book i, chapter iii). How to dividea dimension, according to the rules of proportion, into a medium partand two extreme parts (chapter viii). How the hexagon and decagonform between them a dimension susceptible of division accordingto the rules of proportion (chapter xvi).^ I must make some reference to the figures inse


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