Roberval's experiment of the void within
a void.
Saggi di naturali esperienze fatte nell'Accademia del Cimento,
Florence 1666
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We know very little on his childhood
and adolescence. A peasant by birth, he soon left his family, journeying
through various parts of France and making his living as a tutor.
He arrived in Paris in 1628 and put himself in touch with the Mersenne
circle, who immediately held him in great esteem. Launching himself
into the Parisian world, Roberval obtained the chair of philosophy
at the Collège Royal in 1634, then switched to teaching mathematics
in 1655. In 1666, he was one of the founder members of the Académie
des Sciences in Paris.
Even though his mechanical
and astronomical works are of interest, Roberval's main contributions
are in the field of pure mathematics. He developed the methods of
the geometry of infinitesimals, reaching solutions which anticipate,
even with inaccuracies and mistakes, integral calculus. His results
in the field of analytical geometry and algebra reveal a remarkable
talent and mathematical creativity.
In the context of pneumatics, Roberval studied
in particular, the experiments carried out by Pascal, adding, in 1648,
the determining factor of the role of air-pressure on the suspension
of mercury in the barometric tube. Furthermore, he completed the ingenious
apparatus which permitted the experiments on the "void within a void",
which was then described by Pascal in his Traité de l’équilibre
des liqueurs et de la pesanteur de la masse de l’air.
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