Pascal, together with his wager, tried to use the newly growing chance principle to argue for a life dedicated to faith, on the grounds that even when the probability of success was small, the rewards had been infinite. In some sense, this foreshadowed the development of utility concept in the 18th–19th century. Nicole Oresme on the University of Paris and the Italian Giovanni di Casali independently offered graphical demonstrations of this relationship, asserting that the world underneath the line depicting the fixed acceleration, represented the whole distance traveled. In a later mathematical commentary on Euclid’s Elements, Oresme made a more detailed common analysis during which he demonstrated that a body will acquire in every successive increment of time an increment of any high quality that increases because the odd numbers. Since Euclid had demonstrated the sum of the odd numbers are the sq. numbers, the entire quality acquired by the …

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