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By 1697, the relationship between the two became so bitter that they were no longer on speaking terms.
He traveled throughout Europe from 1676 to 1682, learning about the latest discoveries in mathematics and the sciences under leading figures of the time.
This included the work of Johannes Hudde, Robert Boyle, and Robert Hooke.
Jacob had always been fascinated by curves especially the ‘Logarithmic Spiral’ resembling the mollusk shell which had perfect symmetrical spirals.
Also known as ‘Spira Mirabilis’ meaning wonderful spiral, Jacob noticed its unique properties specifically one that if any part of the spiral is scaled up or down, it is exactly the same as the other parts.
He was also the owner of a successful spice business, which he had inherited from his father.
Jacob’s mother, Margaretha Schonauer, came from an influential family of bankers and councilors.
Jacob had two younger brothers, Nicolaus and Johann Bernoulli.
While Nicolaus grew up to be a painter and alderman of Basel, Johann became a mathematician and earned fame for his contributions to infinitesimal calculus.
Jacob also discovered the fundamental mathematical constant e.
However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work Ars Conjectandi.