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Francesco Siacci (20 April 1839 – 31 May 1907), an
Italian Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, an ethnic group or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance language *** Regional Ita ...
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
, ballistician, and officer in the
Italian army "The safeguard of the republic shall be the supreme law" , colors = , colors_labels = , march = ''Parata d'Eroi'' ("Heroes's parade") by Francesco Pellegrino, ''4 Maggio'' (May 4) ...
, was born in
Rome , established_title = Founded , established_date = 753 BC , founder = King Romulus (legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
,
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
. He was a professor of
mechanics Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects r ...
in the
University of Turin The University of Turin (Italian: ''Università degli Studi di Torino'', UNITO) is a public research university in the city of Turin, in the Piedmont region of Italy. It is one of the oldest universities in Europe and continues to play an impo ...
and
University of Naples The University of Naples Federico II ( it, Università degli Studi di Napoli Federico II) is a public university in Naples, Italy. Founded in 1224, it is the oldest public non-sectarian university in the world, and is now organized into 26 depar ...
. He is best known for his contributions to the field of exterior ballistics.


Biography

Siacci graduated from the University of Rome in 1860 and received an honorary degree in
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
. In 1861, he moved to Turin and enlisted in the army amidst the period of
Italian unification The unification of Italy ( it, Unità d'Italia ), also known as the ''Risorgimento'' (, ; ), was the 19th-century political and social movement that resulted in the consolidation of different states of the Italian Peninsula into a single ...
. He also became a professor of mechanics at the Military Academy. He remained there until war broke out in Italy in 1866. Siacci was briefly part of the campaign against the
Austria Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ...
ns in a war in 1866, until he was sent back to Turin to teach ballistics at the Military Academy. In 1871, he began teaching mechanics in the
University of Turin The University of Turin (Italian: ''Università degli Studi di Torino'', UNITO) is a public research university in the city of Turin, in the Piedmont region of Italy. It is one of the oldest universities in Europe and continues to play an impo ...
. A year later, he was promoted to Professor of Ballistics at the School of Applied Artillery and Engineering in Turin and held that post until his retirement from the army as a
major general Major general (abbreviated MG, maj. gen. and similar) is a military rank used in many countries. It is derived from the older rank of sergeant major general. The disappearance of the "sergeant" in the title explains the apparent confusion of a ...
in 1892. In 1875, he became a Professor of Higher Mechanics in the University of Turin. After two terms as a deputy in 1892, Siacci was appointed as a senator in Rome in 1893. Since Turin is far from Rome, he requested a transfer to the
University of Naples The University of Naples Federico II ( it, Università degli Studi di Napoli Federico II) is a public university in Naples, Italy. Founded in 1224, it is the oldest public non-sectarian university in the world, and is now organized into 26 depar ...
to capably serve as senator and still teach. Consequently,
Vito Volterra Vito Volterra (, ; 3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to mathematical biology and integral equations, being one of the founders of functional analysis. Biography Born in Anc ...
took over his vacated position in Turin, but Siacci retained an honorary professorship there. Siacci stayed to teach in Naples for the rest of his life. Siacci was a member of the most important national academies in Italy, including the
Accademia dei Lincei The Accademia dei Lincei (; literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rom ...
(corresponding member in 1872, full member in 1890), the
Accademia Nazionale delle Scienze detta dei XL The Accademia Nazionale delle Scienze (), or more formally L'Accademia Nazionale delle Scienze detta dei XL, and also called the Accademia dei XL (), is Italy's national academy of science. Its offices are located within the Villino Rosso, at the co ...
, the Accademia delle Scienze in Turin, and the Accademia delle Scienze Fisiche e Matematiche in Naples. A street in Rome, the Via Francesco Siacci, is named after him.


Exterior ballistics

Siacci is well known for his contributions in the field of
ballistics Ballistics is the field of mechanics concerned with the launching, flight behaviour and impact effects of projectiles, especially ranged weapon munitions such as bullets, unguided bombs, rockets or the like; the science or art of designing and a ...
, distinguishing himself with a famous treatise ''Balistica'', published in 1888 and translated to French in 1891. Of great importance is an approximation method he devised to calculate bullet trajectories of small departure angles. Known as Siacci's method, it was a major innovation in exterior ballistics and was widely used almost exclusively at the beginning of World War I. Several modifications of the method are still in use today, including those of H.P. Hitchcock and R.H. Kent, and James Ingalls. Siacci also studied theoretical mechanics ( Siacci's theorem,
rigid body dynamics In the physical science of dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces. The assumption that the bodies are ''rigid'' (i.e. they do not deform under the action of a ...
,
canonical transformation In Hamiltonian mechanics, a canonical transformation is a change of canonical coordinates that preserves the form of Hamilton's equations. This is sometimes known as form invariance. It need not preserve the form of the Hamiltonian itself. Canoni ...
s, and
inverse problem An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating an image in X-ray computed tomography, source reconstruction in acoustics, or calculating the ...
s) and mathematics ( theory of conic sections, Riccati differential equation, etc.).


Siacci's theorem

Siacci's theorem in dynamics is the resolution of the
acceleration In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the ...
vector of a particle into radial and tangential components, which are generally not perpendicular to one another. Siacci formulated this decomposition in two papers which were published in 1879, the first for planar motions, and the second for spatial motions. The theorem is useful in situations where
angular momentum In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical quantity because it is a conserved quantity—the total angular momentum of a closed syst ...
is constant (for example, in
central force In classical mechanics, a central force on an object is a force that is directed towards or away from a point called center of force. : \vec = \mathbf(\mathbf) = \left\vert F( \mathbf ) \right\vert \hat where \vec F is the force, F is a vecto ...
s).


References


"Accademia della Scienze di Torino"


* J. Casey. Siacci's resolution of the acceleration vector for a space curve. Meccanica, Online First, 9 June 2010 OI 10.1007/s11012-010-9296-x * E. Herrmann. Exterior Ballistics 1935. Annapolis, MD: U.S. Naval Institute, 1935. * H.P. Hitchcock and R.H. Kent. Applications of Siacci's method to flat trajectories. Ballistics Laboratory Report No. 114 (1938)


External links


"Siacci's Method"
{{DEFAULTSORT:Siacci, Francesco 1839 births 1907 deaths Scientists from Rome 19th-century Italian mathematicians 20th-century Italian mathematicians Academic staff of the University of Turin