'' by
Apollonius of Perga edited by Francesco Maurolico • Maurolico's
Photismi de lumine et umbra and
Diaphana concern the
refraction of light and attempted to explain the natural phenomenon of the
rainbow. He also studied the
camera obscura.
Photismi were completed in 1521,
Diaphana first part 1523, the second and third ones in 1552, but all the material was published posthumously only in 1611. • His unpublished manuscript
Compaginationes solidorum regularium (1537) includes a statement of
Euler's formula V-E+F=2 for the
Platonic solids, long before
Leonhard Euler formulated it more generally for
convex polyhedra in 1752. • His
Arithmeticorum libri duo (1575) includes the first known proof by
mathematical induction. • His
De momentis aequalibus (completed in 1548, but first published only in 1685) attempted to calculate the
center of gravity of various bodies (
pyramid,
paraboloid, etc.). • In his
Sicanicarum rerum compendium, he presented the history of
Sicily, and included some autobiographical details. He had been commissioned to write this work, and in 1553 the
Senate of Messina granted him a salary of 100 gold pieces per year for two years so that he could finish this work and his works on mathematics. • His
De Sphaera Liber Unus (1575) contains a fierce attack against
Copernicus'
heliocentrism, in which Maurolico writes that Copernicus "deserved a whip or a scourge rather than a refutation". • Maurolico published a
Cosmographia in which he described a methodology for measuring the earth, which was later employed by
Jean Picard in measuring length of
meridian arc in 1670. • Maurolico published an edition of
Aristotle's Mechanics, and a work on music. He summarized Ortelius's
Theatrum orbis terrarum and also wrote
Grammatica rudimenta (1528) and
De lineis horariis. He made a map of Sicily, which was published in 1575. • Maurolico worked on ancient mathematical texts:
Theodosius of Bithynia,
Menelaus of Alexandria,
Autolycus of Pitane,
Euclid,
Apollonius of Perga and
Archimedes. He did not make new translations, but working on the existing ones, he provided new and sound interpretations of Greek mathematics.
Publications • • • ==See also==