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Gerolamo Cardano : ウィキペディア英語版
Gerolamo Cardano


Gerolamo (or Girolamo, or Geronimo) Cardano (; (フランス語:Jérôme Cardan); (ラテン語:Hieronymus Cardanus); 24 September 1501 – 21 September 1576) was an Italian polymath, being a mathematician, physician, biologist, physicist, chemist, astrologer, astronomer, philosopher, writer, and gambler. Often considered to be the greatest mathematician of the Renaissance, Cardano was one of the key figures in the foundation of probability and the earliest introducer of the binomial coefficients and the binomial theorem in the western world. He wrote more than 200 works on science.
Cardano partially invented and described several mechanical devices including the combination lock, the gimbal consisting of three concentric rings allowing a supported compass or gyroscope to rotate freely, and the Cardan shaft with universal joints, which allows the transmission of rotary motion at various angles and is used in vehicles to this day. He made significant contributions to hypocycloids, published in ''de proportionibus'' 1570. The generating circles of these hypocycloids were later named Cardano circles or cardanic circles and were used for the construction of the first high-speed printing presses.
Today, he is well-known for his achievements in algebra. He made the first systematic use of negative numbers, published with attribution the solutions of other mathematicians for the cubic and quartic equations, and acknowledged the existence of imaginary numbers.
== Early life and education ==

He was born in Pavia, Lombardy, the illegitimate child of Fazio Cardano, a mathematically gifted jurist and lawyer, who was a friend of Leonardo da Vinci. In his autobiography, Cardano claimed that his mother had attempted to abort him. Shortly before his birth, his mother had to move from Milan to Pavia to escape the Plague; her three other children died from the disease.
After a difficult childhood, saddened by frequent illnesses and the harsh upbringing by his overbearing father, in 1520, Cardano entered the University of Pavia against his father's wish, who wanted his son to undertake studies of law, but Girolamo felt more attracted to philosophy and science. During the ongoing war between France and Spain, the authorities in Pavia were forced to close the university, Cardano resumed his studies at the University of Padua, where he graduated in medicine in 1526. His eccentric and confrontational style did not earn him many friends and he had a difficult time finding work after his studies had ended. In 1525, Cardano repeatedly applied to the College of Physicians in Milan, but was not admitted owing to his combative reputation and illegitimate birth.
Eventually, he managed to develop a considerable reputation as a physician and his services were highly valued at the courts. He was the first to describe typhoid fever. In 1553 he cured the Scottish Archbishop of St Andrews of a disease that had left him speechless and was thought incurable. The diplomat Thomas Randolph recorded the "merry tales" rumoured about his methods still current in Edinburgh nine years later.〔''Calendar State Papers Scotland'', vol.1 (1898), p.592: Melville, James, ''Memoirs of his own life'', Brookman, (1833), 21, 73〕 Cardano himself wrote that the Archbishop had been short of breath for ten years, and after the cure was effected by his assistant, he was paid 1,400 gold crowns.〔Cardanus, Gerolamo, (''De Propria Vita Liber: His Own Life'', Amsterdam, (1654) ), pp.136-7, (Latin)〕

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