Bernoulli brothers, Swiss mathematicians
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Bernoulli brothers, Swiss mathematicians
Bernoulli brothers, 17th century Swiss mathematicians. At right is Jean (Johann) Benoulli (1667-1748). At left is Jacques (Jacob) Bernoulli (1654-1705). Jean wrote on differential equations and curves. Jacques studied infinite series, curves and differential calculus, inventing the term integral. The brothers often quarreled and are seen debating a mathematical problem in 1696. The brachistochrone problem was the derivation of the curve along which a particle will most quickly move from one point to another which is not directly below it. Jacques devised a correct proof leading to a cycloid curve. Using Jacques idea, Jean used a cycloid curve but substituted an incorrect proof
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Media ID 6306213
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1600s 17th Century Arguing Argument Black Board Debate Diagram Geometry Jacob James Johann John Library Mathematical Mathematician Mathematicians Mathematics Proof Renaissance Solving Study Surname B Swiss Switzerland Theory Thinking 1696 Bernoulli Debating Quarrel
EDITORS COMMENTS
This print captures the renowned Bernoulli brothers, Jean and Jacques, who were influential Swiss mathematicians of the 17th century. In this historical illustration, we witness a fascinating moment as the brothers engage in a heated debate over a mathematical problem in 1696. Jean Bernoulli, depicted on the right side of the image, dedicated his studies to differential equations and curves. On the left stands Jacques Bernoulli, known for his profound exploration of infinite series, curves, and differential calculus. It was Jacques who coined the term "integral" that is widely used today. Despite their shared passion for mathematics, these brilliant siblings often found themselves embroiled in quarrels due to their divergent approaches. The specific problem being debated here is none other than the brachistochrone problem – determining the curve along which an object would move most swiftly between two points not vertically aligned. Jacques successfully devised a correct proof leading to a cycloid curve as an optimal solution. However, Jean utilized this same curve with an incorrect proof instead. This disagreement epitomizes their intellectual rivalry while showcasing their exceptional contributions to mathematical theory during Europe's Renaissance period. The blackboard behind them serves as both a backdrop and testament to their dedication to solving complex problems through rigorous calculations and logical reasoning. As we gaze upon this remarkable artwork from Science Photo Library's collection, we are transported back in time witnessing these great minds engaged in passionate debate that forever shaped our understanding of mathematics.
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