Research

Vacuum Project

Here is the research introduction paragraph

Cycloid

In 1658, Pascal, while suffering from a toothache, began considering several problems concerning the cycloid. His toothache disappeared, and he took this as a heavenly sign to proceed with his research. Eight days later he had completed his essay and, to publicize the results, proposed a contest.

Associated publications :

Thirty-six Full Matrix Forms of the Pascal Triangle: Derivation and Symmetry Relations
Doh, Prosper K. and Adjallah, Kondo Hloindo and Birregah, B.
Scientific African, 13 e00932 (2021) 

Link

Undecidability and indeterminism
Klaas Landsman
arXiv: Mathematical Physics, (2020) 

Associated members :

Blaise Pascal
René Descartes

Pascal proposed three questions relating to the center of gravity, area and volume of the cycloid, with the winner or winners to receive prizes of 20 and 40 Spanish doubloons. Pascal, Gilles de Roberval and Pierre de Carcavi were the judges, and neither of the two submissions (by John Wallis and Antoine de Lalouvère) were judged to be adequate.[24] While the contest was ongoing, Christopher Wren sent Pascal a proposal for a proof of the rectification of the cycloid; Roberval claimed promptly that he had known of the proof for years. Wallis published Wren’s proof (crediting Wren) in Wallis’s Tractus Duo, giving Wren priority for the first published proof.

Barometer up to the top of the bell tower

Pascal replicated the experiment in Paris by carrying a barometer up to the top of the bell tower at the church of Saint-Jacques-de-la-Boucherie, a height of about 50 metres. The mercury dropped two lines.

In a reply to the plenist Estienne Noel, Pascal wrote, echoing contemporary notions of science and falsifiability: "In order to show that a hypothesis is evident, it does not suffice that all the phenomena follow from it; instead, if it leads to something contrary to a single one of the phenomena, that suffices to establish its falsity."[29]

Associated publications :

Thirty-six Full Matrix Forms of the Pascal Triangle: Derivation and Symmetry Relations
Doh, Prosper K. and Adjallah, Kondo Hloindo and Birregah, B.
Scientific African, 13 e00932 (2021) 

Link

Associated members :

Blaise Pascal
Evangelista Torricelli

Fluid dynamics

His work in the fields of hydrodynamics and hydrostatics centered on the principles of hydraulic fluids. His inventions include the hydraulic press (using hydraulic pressure to multiply force) and the syringe. He proved that hydrostatic pressure depends not on the weight of the fluid but on the elevation difference. He demonstrated this principle by attaching a thin tube to a barrel full of water and filling the tube with water up to the level of the third floor of a building. This caused the barrel to leak, in what became known as Pascal's barrel experiment.

Associated publications :

Associated members :

Blaise Pascal
Jacqueline Pascal