Editing Giovanni Ceva (section)

==Work==
[[Image:Ceva - De lineis rectis se invicem secantibus statica constructio, 1678 - 828340.jpg|thumb|''De lineis rectis se invicem secantibus statica constructio'', 1678]]
Ceva studied [[geometry]] for most of his long life. In 1678, he published a now famous theorem on [[synthetic geometry]] in a triangle called Ceva's Theorem. The theorem,
already known to [[Yusuf al-Mu'taman ibn Hud|Yusuf Al-Mu'taman ibn Hűd]] in 11th century, states that if three line segments are drawn from the vertices of a triangle to the opposite sides, then the three line segments are concurrent if, and only if, the product of the ratios of the newly created line segments on each side of the triangle is equal to one. He published this theorem in ''De lineis rectis''.

Ceva also rediscovered and published [[Menelaus's theorem]]. He published ''Opuscula mathematica'' in 1682 and ''Geometria Motus'' in 1692, as well. In ''Geometria Motus'', he anticipated the [[infinitesimal calculus]]. Finally, Ceva wrote ''De Re Nummaria'' in 1711, which was one of the first books in [[mathematical economics]].

Giovanni Ceva also studied applications of mechanics and [[statics]] to geometric systems. At one point, however, he incorrectly resolved that the periods of [[oscillation]] of two [[pendulum]]s were in the same ratio as their lengths, but he later realized and corrected the error. Ceva also worked on [[hydraulics]]. In 1728, he published ''Opus hydrostaticum'' which discusses his work in [[hydraulics]]. In fact, he used his knowledge of [[hydraulics]] to stop a project from diverting the river Reno into the river [[Po River|Po]].

=== List of works ===
* {{cite book|publisher= ex typographia Ludouici Montiae
|language= la
|title= De lineis rectis se invicem secantibus statica constructio
|location= Mediolani
|date= 1678
|url= https://archive.org/details/ita-bnc-mag-00001346-001/page/n9
}}
* {{cite book|publisher= ex typographia Ludouici Montiae
|language= la
|title= Opuscula mathematica
|location= Mediolani
|date= 1682
|url= https://gutenberg.beic.it/webclient/DeliveryManager?pid=1252871&search_terms=DTL6
}}
* ''Geometria Motus'', 1692
* {{Cite book|title=De re numaria quo ad fieri potuit geometrice tractata|volume=|publisher=Alberto Pazzoni|location=Mantova|year=1711|language=la|url=https://gutenberg.beic.it/webclient/DeliveryManager?pid=11375410}}
* {{Cite book|publisher= per li successori del Benacci|title= Ragioni del signor Giovanni Ceva commissario dell'arciducal Camera di Mantova, e del signor Doriciglio Moscatelli Battaglia prefetto dell'acque di quello stato contra l'introduzione del Reno nel Pò grande con la risposta alle medesime di Eustachio Manfredi matematico dell'Università di Bologna. Che contiene una piena informazione sopra i capi principali di questa materia |place=In Bologna|year= 1716|url= https://gutenberg.beic.it/webclient/DeliveryManager?pid=2053918}}
* {{Cite book|publisher= per Alberto Pazzoni stampatore arciducale|title= Replica di Giovanni Ceva, commissario dell'arciducal camera di Mantova, e matematico di s.m. ces., e cat. in difesa delle sue dimostrazioni, e ragioni per la quali non debbasi introdurre Reno in Po, contro la risposta datasi dal sig. dottor Eustachio Manfredi |place=In Mantova|year= 1717|url= https://gutenberg.beic.it/webclient/DeliveryManager?pid=13326368}}
* {{cite book|publisher= Alberto Pazzoni
|language= la
|title= Opus hydrostaticum
|location= Mantuae
|date= 1728
|url= https://gutenberg.beic.it/webclient/DeliveryManager?pid=2043266&search_terms=DTL7
}}

<gallery>
Giovanni Benedetto Ceva – Ragioni del signor Giovanni Ceva commissario dell', 1716 - BEIC 2053918.tif|''Ragioni [...] contra l'introduzione del Reno nel Pò'', 1716
Giovanni Benedetto Ceva – Replica di Giovanni Ceva, commissario dell'arciduc, 1717 - BEIC 13326368.tif|''Replica [...] in difesa delle sue dimostrazioni, e ragioni per la quali non debbasi introdurre Reno in Po'', 1717
</gallery>