Valerio met Galileo on a visit to Pisa in 1584. He corresponded with Galileo from 1609 until 1616 and in 1612 he became a member of the Accademia dei Lincei, a group which also included Galileo as a member. On 5 March 1616 Cardinal Robert Bellarmine, chief theologian of the Roman Catholic Church, issued a decree that the idea of a Sun centred Solar System, the Copernican system, a theory supported by Galileo, was false and erroneous.[2] The prospect of being called before the Inquisition caused Valerio to end all correspondence with Galileo and resign from the Accademia dei Lincei. The members of the Academy looked on Valerio's actions as aligning himself with Galileo's opponents and accusing the Academy itself of committing a crime.[3] His resignation was rejected by the Accademia, but they took away his right to participate in Accademia meetings. Federico Cesi, the Accademia dei Lincei's founder, still hoped however that Valerio could re-enter the ranks of the academics, but the mathematician died in January 1618.
De centro gravitatis solidorum libri tres, Rome 1604—Includes applying general methods to find volumes and centres of gravity of solid bodies. (in Latin)
Conti, Lino, ed. (1992). La matematizzazione dell'universo. Momenti della cultura matematica tra '500 e '600. Assisi.{{cite book}}: CS1 maint: location missing publisher (link)
Gabrieli, G. (1934). Luca Valerio linceo, un episodio memorabile della vecchia Accademia. Rome: Bardi.
Napolitani, Pier Daniele (1982). "Metodo e statica in Valerio con edizione di due sue opere giovanili". Bollettino di Storia delle Scienze Matematiche. II (1): 3–86.
Napolitani, Pier Daniele (1987). "Galileo e due matematici napoletani: Luca Valerio e Giovanni Camillo Glorioso". In Fabrizio Lomonaco; Maurizio Torrini (eds.). Galileo a Napoli. pp. 159–195.
Baldini, Ugo; Napolitani, Pier Daniele (1991). "Per una biografia di Luca Valerio - fonti edite e inedite per una ricostruzione della sua carriera scientifica". Bollettino di Storia delle Scienze Matematiche. XI: 3–157.