Contents 1 Biography 1.1 Early life 1.2 Career 1.3 Death 2 Torricelli's work in physics 2.1 Barometer 2.2 Torricelli's law 2.3 The study of projectiles 2.4 Cause of wind 3 Torricelli's work in mathematics 4 Italian submarines 5 Selected works 6 See also 7 Notes 8 References 9 External links Biography[edit]
Early life[edit]
Torricelli's statue in the Museo di Storia Naturale di Firenze In 1632, shortly after the publication of Galileo's Dialogues of the
New Science, Torricelli wrote to
Noi viviamo sommersi nel fondo d'un pelago d'aria. (We live submerged at the bottom of an ocean of air.)[9] Death[edit]
NSRW Torricelli's experiment Torricelli lunar crater map Torricelli died of fever, most likely typhoid,[2][10] in
d y d t = − k u ( y ) y displaystyle frac dy dt =-k sqrt u(y)y for some constant k > 0."[13] The study of projectiles[edit] Torricelli studied projectiles and how they traveled through the air. "Perhaps his most notable achievement in the field of projectiles was to establish for the first time the idea of an envelope: projectiles sent out at [...] the same speed in all directions trace out parabolas which are all tangent to a common paraboloid. This envelope became known as the parabola di sicurezza (safety parabola)."[4] Cause of wind[edit] Torricelli gave the first scientific description of the cause of wind: ... winds are produced by differences of air temperature, and hence density, between two regions of the earth.[3] Torricelli's work in mathematics[edit] Torricelli is also famous for the discovery of the Torricelli's trumpet (also - perhaps more often - known as Gabriel's Horn) whose surface area is infinite, but whose volume is finite. This was seen as an "incredible" paradox by many at the time, including Torricelli himself, and prompted a fierce controversy about the nature of infinity, also involving the philosopher Hobbes. It is supposed by some to have led to the idea of a "completed infinity". Torricelli tried several alternative proofs, attempting to prove that its surface area was also finite - all of which failed.[citation needed] Torricelli was also a pioneer in the area of infinite series. In his De dimensione parabolae of 1644, Torricelli considered a decreasing sequence of positive terms a 0 , a 1 , a 2 ⋯ displaystyle a_ 0 ,a_ 1 ,a_ 2 cdots and showed the corresponding telescoping series ( a 0 − a 1 ) + ( a 1 − a 2 ) + ⋯ displaystyle (a_ 0 -a_ 1 )+(a_ 1 -a_ 2 )+cdots necessarily converges to a 0 − L displaystyle a_ 0 -L , where L is the limit of the sequence, and in this way gives a proof of the formula for the sum of a geometric series. Torricelli developed further the method of indivisibles of Cavalieri. Many 17th century mathematicians learned of the method through Torricelli whose writing was more accessible than Cavalieri's.[14] Italian submarines[edit] Torricelli (S-512);0837310 1959
Several Italian Navy submarines were named after Evangelista Torricelli: A Micca class submarine, built in 1918, stricken in 1930
An
Selected works[edit] His manuscripts are preserved at Florence, Italy. The following have appeared in print: Trattato del moto (before 1641) Opera geometrica (1644) Lezioni accademiche (Firenze, 1715) Esperienza dell'argento vivo (Berlin, 1897) See also[edit] Gabriel's horn Gasparo Berti Parabola of safety Torricelli's equation Torricelli–Fermat point Stefano degli Angeli Blaise Pascal Notes[edit] ^ Marie Boas,
References[edit] Aubert, André (1989). "Prehistory of the Zeta-Function". In Bombieri
and Goldfeld, eds. Number Theory, Trace Formulas and Discrete Groups.
Academic Press. CS1 maint: Uses editors parameter (link)
de Gandt (1987). L'oeuvre de Torricelli. Les Belles Lettres.
Shampo, M. A.; Kyle, R A (March 1986). "Italian
physicist-mathematician invents the barometer".
External links[edit]
Wikimedia Commons has media related to Evangelista Torricelli. University of
v t e Scientists whose names are used as non SI units Anders Jonas Ångström
Alexander Graham Bell
Marie Curie
Pierre Curie
John Dalton
Peter Debye
Loránd Eötvös
Daniel Gabriel Fahrenheit
Scientists whose names are used as SI units Scientists whose names are used in chemical element names Scientists whose names are used in physical constants Authority control WorldCat Identities VIAF: 24633476 LCCN: n85800789 ISNI: 0000 0000 8076 6399 GND: 118623427 SUDOC: 029581206 BNF: cb12117674q (data) MGP: 154455 NLA: 35791203 NKC: mzk2003202318 ICCU: ITICCURAVV37 |