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402:, where he graduated with a doctorate in medicine in 1525. His eccentric and confrontational style did not earn him many friends and he had a difficult time finding work after he completed his studies. In 1525, Cardano repeatedly applied to the College of Physicians in Milan, but was not admitted owing to his combative reputation and illegitimate birth. However, he was consulted by many members of the College of Physicians, because of his irrefutable intelligence.
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576:
950:. Assuredly this learned man hath taken many things upon trust, and although examined some, hath let slip many others. He is of singular use unto a prudent Reader; but unto him that only desireth Hoties, or to replenish his head with varieties; like many others before related, either in the Original or confirmation, he may become no small occasion of Error.
422:
doctors in Milan. In fact, by 1536, he was able to quit his teaching position, although he was still interested in mathematics. His notability in the medical field was such that the aristocracy tried to lure him out of Milan. Cardano later wrote that he turned down offers from the kings of
Denmark and France, and the Queen of Scotland.
1014:, a 1936 volume of essays, authorial reviews and a play, provides a sympathetic treatment of Cardano in the section titled 'The Past'. Forster believes Cardano was so absorbed in "self-analysis that he often forgot to repent of his bad temper, his stupidity, his licentiousness, and love of revenge" (212).
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375:. In his autobiography, Cardano wrote that his mother, Chiara Micheri, had taken "various abortive medicines" to terminate the pregnancy; he said: "I was taken by violent means from my mother; I was almost dead." She was in labour for three days. Shortly before his birth, his mother had to move from
865:
Cardano moved from Pavia to
Bologna, in part because he believed that the decision to execute his son was influenced by Gerolamo's battles with the academic establishment in Pavia, and his colleagues' jealousy at his scientific achievements, and also because he was beset with allegations of sexual
857:
Two of
Cardano's children — Giovanni Battista and Aldo Urbano — came to ignoble ends. Giovanni Battista, Cardano's eldest and favourite son was arrested in 1560 for having poisoned his wife, after he had discovered that their three children were not his. Giovanni was put to trial and, when Cardano
421:
With the help of a few noblemen, Cardano obtained a mathematics teaching position in Milan. Having finally received his medical license, he practised mathematics and medicine simultaneously, treating a few influential patients in the process. Because of this, he became one of the most sought-after
848:
recorded that "merry tales" about
Cardano's methods were still current in Edinburgh in 1562. Cardano and Casanatus argued over the Archbishop's cure. Cardano 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
418:, where he practised without a license. There, he married Lucia Banderini in 1531. Before her death in 1546, they had three children, Giovanni Battista (1534), Chiara (1537) and Aldo Urbano (1543). Cardano later wrote that those were the happiest days of his life.
727:, he said that deaf people were capable of using their minds, argued for the importance of teaching them, and was one of the first to state that deaf people could learn to read and write without learning how to speak first. He was familiar with a report by
518:(who later claimed that Cardano had sworn not to reveal it, and engaged Cardano in a decade-long dispute) in the form of a poem, but del Ferro's solution predated Tartaglia's. In his exposition, he acknowledged the existence of what are now called
945:
that famous
Physician of Milan, a great Enquirer of Truth, but too greedy a Receiver of it. He hath left many excellent Discourses, Medical, Natural, and Astrological; the most suspicious are those two he wrote by admonition in a dream, that is
819:), would lead us to expect, in the chapter on minerals, many far fetched theories characteristic of that age; but when treating of petrified shells, he decided that they clearly indicated the former sojourn of the sea upon the mountains.
996:
portrays a pedantic scholar of the obsolete, Don
Ferrante, as a great admirer of Cardano. Significantly, he values him only for his superstitious and astrological writings; his scientific writings are dismissed because they contradict
903:. Cardano was imprisoned for several months and lost his professorship in Bologna. He abjured and was freed, probably with help from powerful churchmen in Rome. All his non-medical works were prohibited and placed on the
561:
is given by the ratio of favourable outcomes to the total number of possible outcomes). He was also aware of the multiplication rule for independent events but was not certain about what values should be multiplied.
700:
or Cardan Gear mechanism, in which a pair of gears with the smaller being one-half the size of the larger gear is used to convert rotational motion to linear motion with greater efficiency and precision than a
922:, who died in 1572) and finished his autobiography. He was accepted into the Royal College of Physicians, and as well as practising medicine he continued his philosophical studies until his death in 1576.
716:
is impossible, except in celestial bodies. He published two encyclopedias of natural science which contain a wide variety of inventions, facts, and occult superstitions. He also introduced the
2949:
Rutkin, H. Darrel, "Astrological conditioning of same-sexual relations in
Girolamo Cardano's theoretical treatises and celebrity genitures", in: Kenneth Borris & George Rousseau (curr.),
3065:
553:, as well as a section on effective cheating methods. He used the game of throwing dice to understand the basic concepts of probability. He demonstrated the efficacy of defining
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Giglioni, Guido, "'Bolognan boys are beautiful, tasteful and mostly fine musicians': Cardano on male same-sex love and music", in: Kenneth Borris & George
Rousseau (curr.),
512:
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303:, in 1570. The generating circles of these hypocycloids, later named "Cardano circles" or "cardanic circles", were used for the construction of the first high-speed
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he describes a personal experience from 1526 and then adds that "thirty-eight years have passed" . This sentence is written by
Cardano around 1564, age 63.
1051:
Libelli duo: De
Supplemento Almanach; De Restitutione temporum et motuum coelestium; Item Geniturae LXVII insignes casibus et fortuna, cum expositione
394:. Against the wish of his father, who wanted his son to undertake studies of law, Girolamo felt more attracted to philosophy and science. During the
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678:
441:
Gerolamo Cardano was the first European mathematician to make systematic use of negative numbers. He published with attribution the solution of
295:, which allows the transmission of rotary motion at various angles and is used in vehicles to this day. He made significant contributions to
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2895:
885:, especially his claim that self-harming religiously motivated actions of martyrs and heretics were caused by the stars. In his 1543 book
628:
1437:
816:
390:
After a depressing childhood, with frequent illnesses, and the rough upbringing by his overbearing father, in 1520, Cardano entered the
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A recreational article about Cardano and the discovery of the two basic ingredients of quantum theory, probability and complex numbers.
2986:
656:
because of its discussion of instruments from that family. The second treatise was published in 1574, and a copy of it is held in the
1487:
Cardano was a physician, astrologer, and mathematician.... supported his wife and three children by gambling and casting horoscopes.
3170:
2764:, Dover Recreational Math, translated by Gould, Sydney Henry, foreword by Wilks, Samuel S., Dover Publications, 2015 , p. 64,
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841:
2678:, New York Review Books Classics, translated by Stoner, Jean, introduction by Grafton, Anthony, NYRB Classics, 2002, p. 320,
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who suffered of a disease that had left him speechless and was thought incurable. The treatment was a success and the diplomat
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1608:
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862:. Gerolamo's other son Aldo Urbano was a gambler, who stole money from his father, and so Cardano disinherited him in 1569.
549:("Book on Games of Chance"), written around 1564, but not published until 1663, contains the first systematic treatment of
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786:
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Opus novum, De Proportionibus numerorum, motuum, ponderum, sonorum, aliarumque rerum mensurandarum. Item de aliza regula
1001:, but excused on the ground that the author of the astrological works deserves to be listened to even when he is wrong.
50:
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615:
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398:, however, the authorities in Pavia were forced to close the university in 1524. Cardano resumed his studies at the
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682:
most likely falsely attributed to Cardano and is by another writer. Cardano also dabbled in composing, writing the
2980:
2812:
Girolamo Cardano, 1501-1576, Physician, Natural Philosopher, Mathematician, Astrologer and Interpreter of Dreams
1160:(on natural phenomena); (Revised edition), Matthaeus Vincentius, Avignon 1558. Also Basle, Henricus Petri, 1559.
3200:
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who studied music privately in Milan in his youth. He wrote two treatises on music, both of which were titled
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In Cl. Ptolemaei Pelusiensis IIII, De Astrorum judiciis... libros commentaria: cum eiusdem De Genituris libro
992:
911:
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In 1552 Cardano travelled to Scotland with the Spanish physician William Casanatus, via London, to treat the
133:
17:
1325:
1102:, ca 1546 (on music theory: in Italian): posthumously published. (most likely falsely attributed to Cardano)
522:, although he did not understand their properties, described for the first time by his Italian contemporary
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1126:(on physiognomy), written 1550 (published posthumously by Thomas Jolly, Paris (Lutetiae Parisiorum), 1658).
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1154:(about the books he has written, and his successes in medical work), Gulielmus Rouillius, Leiden, 1557.
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Cardano was notoriously short of money and kept himself solvent by being an accomplished gambler and
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A Facsimile of the 1711 Sales Auction Catalogue of Sir Thomas Browne and his son Edward's Libraries
2054:"Reading Cardano with the Roman Inquisition: Astrology, Celestial Physics, and the Force of Heresy"
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Commentarii in Hippocratis Coi Prognostica, Opus Divinum; Commentarii De Aere, aquis et locis opus
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High-resolution images of works by and/or portraits of Gerolamo Cardano in .jpg and .tiff format.
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Girolamo Cardano, Strumenti per la storia del Rinascimento in Italia settentrionale (in Italian)
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Some laws and problems in classical probability and how Cardano anticipated them Gorrochum, P.
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as the ratio of favourable to unfavourable outcomes (which implies that the probability of an
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463:, an influential work on algebra. The solution to one particular case of the cubic equation
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1944:
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could not pay the restitution demanded by the victim's family, was sentenced to death and
8:
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1949:
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1285:(Lugduni, Ioannis Antonii Huguetan and Marci Antonii Ravaud, 1663) (10 volumes, Latin):
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in 1570 after an accusation of heresy by the Inquisitor of Como, who targeted Cardano's
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Full text (John and Cornelius Blaeu, Amsterdam 1640 edition) (original page views) at
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possessed the ten volumes of the Lyon 1663 edition of the complete works of Cardan in
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impropriety with his students. He obtained a position as professor of medicine at the
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372:
31:
767:, also called Chinese Rings, but it is very probable that they predate Cardano. The
2349:. Paris 1550 edition, Michael Fezandat and Robert GranIon (original page views) at
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2068:
2029:
2020:
Valente, Michaela (2017). "Facing the Roman Inquisition: Cardano and Della Porta".
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705:, for example. He is also credited with the invention of the Cardan suspension or
672:
practice for its details on 16th century performance. The later treatise of music
324:
in Europe, published (with attribution) the solutions of other mathematicians for
271:
Cardano partially invented and described several mechanical devices including the
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1032:(on mathematics), Io. Antoninus Castellioneus/Bernadino Caluscho, Milan, 1539.
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1426:
1382:, an early form of art or magic trick initially uncovered by Gerolamo Cardano
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364:
2287:, Dover Books on Mathematics, translated by Witmer, T. Richard, foreword by
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434:
Portrait of Cardano on display at the School of Mathematics and Statistics,
430:
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1930:
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288:
104:
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Math and mathematicians: the history of math discoveries around the world
1475:(International student ed.). Boston: PWS-KENT Pub. Co. p. 207.
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833:
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414:, but he was denied a license to practice, so he settled for the town of
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212:
whose interests and proficiencies ranged through those of mathematician,
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1564/66 edition, 2 volumes, HenricPetrini, Basel, Full texts at Google,
1993:
Girolamo Cardano: 1501–1576 Physician, Natural Philosopher Mathematician
1430:
665:
600: in this section. Unsourced material may be challenged and removed.
233:
229:
2644:. Franciscus Zannettus, Rome 1580, Full text (original page views) at
1388:, the core of Cardano's major contributions to science and mathematics
2761:
The Book on Games of Chance: The 16th-Century Treatise on Probability
1379:
998:
882:
284:
221:
217:
213:
56:
2977:
Cardani Mediolanensis Philosophi ac Medici Celeberrimi Bibliographia
1073:, Henric Petreius, Nuremberg 1544/Sebastianus Gryphius, Lyons, 1545.
575:
27:
Italian Renaissance mathematician, physician, astrologer (1501–1576)
3027: This article incorporates text from a publication now in the
2958:
The Clock and the Mirror: Girolamo Cardano and Renaissance Medicine
2919:
Cardano's Cosmos: The Worlds and Works of a Renaissance Astrologer.
2072:
1182:
Somniorum synesiorum omnis generis insomnia explicantes, Libri IIII
963:
735:
209:
3114:
2900:
2366:(Arizona Center for Medieval and Renaissance Studies, Tempe 2013).
1184:(Book of Dreams: with other writings), Henricus Petri, Basle 1562.
712:
Cardano made several contributions to hydrodynamics and held that
1124:
libris tredecim, et octingentis faciei humanae eiconibus complexa
896:
661:
311:
280:
249:
225:
2983:. A very compendious bibliography of works referring to Cardano.
2657:
Full text (page views): Iacobus Villery, Paris 1653, edition at
2105:, with Introduction, notes and index (E.J. Brill: Leiden, 1986).
1283:
Hieronymi Cardani Mediolanensis Opera Omnia, cura Carolii Sponii
2469:
D.F. Larder, 'The Editions of Cardanus' "De rerum varietate"',
881:(1557). The inquisitors complained about Cardano's writings on
706:
410:
Cardano wanted to practice medicine in a large, rich city like
368:
276:
268:
in the Western world. He wrote more than 200 works on science.
245:
2887:. Discusses Cardano's life and solution of the cubic equation.
930:
The seventeenth-century English physician and philosopher Sir
761:
Cardano has been credited with the invention of the so-called
676:
which has been attributed to Cardano by some, is according to
252:. He became one of the most influential mathematicians of the
2625:
Münchener DigitalisierungsZentrum/Bayerische Staatsbibliothek
2394:
Bayerische StaatsBibliothek/Münchener DigitalisierungsZentrum
1278:
A chronological key to this edition is supplied by M. Fierz.
900:
739:
683:
542:
514:(in modern notation) had been communicated to him in 1539 by
411:
380:
376:
356:
78:
689:
which is scored for 12 voices and contains four overlapping
632:"Oneiron" ("Dream"), reverse of the medallion of Cardano by
2602:
1568 and 1570 editions, Full text (original page views) at
1253:
1191:
554:
100:
3123:
From the Rare Book and Special Collection Division at the
279:
consisting of three concentric rings allowing a supported
2542:(Inkstone publications, Chameleon Press, Hong Kong 2012).
1709:. Baker, Lawrence W. Detroit, Mich.: U X L. p. 60.
2899:, Vol. 47, Issue 8, pp. 2101–2119. arXiv e-print (
1267:(posthumously published: Paulus Marceau, Geneva, 1630).
1172:(on the uses of adversity), Henrich Petri, Basle, 1561.
925:
208:; 24 September 1501– 21 September 1576) was an Italian
1471:
Patty, Peter Fletcher, Hughes Hoyle, C. Wayne (1991).
1233:
Opus novum, cunctis De Sanitate tuenda, Libri quattuor
1142:, separate printing), Theobaldus Paganus, Lyons, 1555.
811:
The title of a work of Cardano's, published in 1552,
734:
Cardano's medical writings included: a commentary on
469:
310:
Today, Cardano is well known for his achievements in
30:"Cardanus" redirects here. For the lunar crater, see
2951:
The sciences of homosexuality in early modern Europe
2908:
The sciences of homosexuality in early modern Europe
2171:, T. Marshe, London 1573. Full text (page views) at
1978:, vol. 1 (Edinburgh, 1898), p. 592: James Melville,
3115:"Cardano v Tartaglia: The Great Feud Out of Bounds"
1897:"Medicine and Mathematics in the Sixteenth Century"
1596:
Satan's Rhetoric: A Study of Renaissance Demonology
823:
1702:
1324:Volume 5: Astronomica, Astrologica, Onirocritica (
1115:Translation into English by J.M. Forrester (2013).
1024:De malo recentiorum medicorum medendi usu libellus
744:Delle cause, dei segni e dei luoghi delle malattie
652:. It is of interest to scholars on the history of
506:
387:; her three other children died from the disease.
2991:
2930:The life of Girolamo Cardano, of Milan, Physician
2512:1582 edition, Full text (original page views) at
2388:1554 edition, Full text (original page views) at
2214:1545 edition, Full text (original page views) at
2128:1545 edition, Full text (original page views) at
1842:
1079:(on medicine), Hieronymus Scotus, Venetijs, 1545.
3142:
1843:Clement A. Miller (2001). "Cardano, Girolamo ".
1626:Pavia 1525 : the climax of the Italian wars
1026:, Hieronymus Scotus, Venice, 1536 (on medicine).
256:and one of the key figures in the foundation of
156:Science, mathematics, philosophy, and literature
1215:De Causis, signis ac locis morborum, Liber unus
1197:Translation into English by A. Paratico (2012).
910:He moved to Rome, where he received a lifetime
679:The New Grove Dictionary of Music and Musicians
648:. The first was published within his 1663 work
2861:Inckstone 2012, translation in English of the
1259:Translation into English by S.H. Gould (1961).
405:
3137:(A barely-disguised re-hash of Morley's work)
2979:, Tertia Editio (Author, 'Cosmopoli', 2018),
1964:Calendar of State Papers, Domestic, Edward VI
1784:, 3rd edn. (Boston: Pearson Education, 2009).
1592:
1244:Translation into English by J. Stoner (2002).
1170:De Utilitate ex adversis capienda, Libri IIII
1094:Translation into English by D. Witmer (1968).
1030:Practica arithmetice et mensurandi singularis
2896:International Journal of Theoretical Physics
2540:Nero: An Exemplary Life, by Girolamo Cardano
2486:1581 Basle edition (original page views) at
1498:: CS1 maint: multiple names: authors list (
1441:(11th ed.). Cambridge University Press.
1256:"; on probability): posthumously published.
1223:, Henric Petrina Officina, Basel, 1568/1570.
899:, Cardano had also published a horoscope of
731:about a deaf-mute who had learned to write.
696:Cardano's work with hypocycloids led him to
674:Della natura de principii et regole musicali
2953:, Routledge, London 2007, pp. 183–200.
2910:, Routledge, London 2007, pp. 201–220.
2854:, Charles Sponi, ed., 10 vols. Lyons, 1663.
2814:(Birkhäuser, Boston/Basel/Stuttgart 1983),
2735:(W.W. Norton & Company, 1997), p. 963.
2713:Hieronymi Cardani Mediolanensis opera omnia
2326:Hieronymi Cardani Mediolanensis opera omnia
1764:The History of Mathematics: An Introduction
1588:
1586:
1584:
1317:Volume 4: Arithmetica, Geometrica, Musica (
1100:Della Natura de Principii e Regole Musicale
1059:, Iohan. Petreius, Norimbergae, 1544 (with
815:(corresponding to what would now be called
650:Hieronymi Cardani Mediolanensis Opera Omnia
339:
3032:
2640:Text (incomplete, original page views) at
2291:, Dover Publications, 2007 , p. 304,
49:
3133:(Lawrence and Bullen, London 1898), from
2396:. 1578 Heinrich Petri edition, Basle, at
1920:
1782:A History of Mathematics: An Introduction
1546:(Lawrence and Bullen, London 1898), from
1084:Artis magnae, sive de regulis algebraicis
832:Medallion portrait of Cardano aged 49 by
720:, a cryptographic writing tool, in 1550.
616:Learn how and when to remove this message
355:Cardano was born on 24 September 1501 in
2488:University and State Library, Düsseldorf
1871:"How does a Cardan gear mechanism work?"
1838:
1836:
1787:
1581:
1451:
1425:
1288:Volume 1: Philologica, Logica, Moralia (
889:, a commentary on the astrological work
852:
827:
785:
778:
668:. It is also of interest to scholars of
627:
545:player. His book about games of chance,
429:
343:
3089:
3003:MacTutor History of Mathematics Archive
2893:, "Complex and unpredictable Cardano".
2019:
1857:10.1093/gmo/9781561592630.article.04908
1662:MacTutor History of Mathematics archive
1650:
1506:
982:Because your true bears have no tails.
976:That, as she wisk'd it t'wards the Sun,
14:
3143:
2364:The De Subtilitate of Girolamo Cardano
2051:
1623:
1405:plural of “hoti”: Greek ὅτι, “because”
1303:Volume 2: Moralia Quaedam et Physica (
957:tells of an amusing reference made by
660:. The work is valuable for studies in
565:
449:and the solution of Cardano's student
2836:. Edmonds, WA: Sure Fire Press, 1989.
2733:Mathematics from the birth of numbers
2047:
2045:
2043:
1891:
1833:
1700:
1696:
1694:
1692:
1470:
1454:"Girolamo [Geronimo] Cardano"
1235:, Sebastian HenricPetri, Basle, 1569.
1217:, Alexander Benatius, Bononiae, 1569.
1203:De Providentia ex anni constitutione,
1091:), Iohan. Petreius, Nuremberg, 1545.
1053:, Iohan. Petreius, Norimbergae, 1543.
980:Which others say must needs be false,
974:Upon the tip o'th' Bear's tail's end;
918:(after first having been rejected by
742:'s medicine, along with the treaties
183:
3043:. New York: Robert Appleton Company.
1995:(Birkhäuser Boston, 1983), pp. 8–11.
1512:
1205:Alexander Benaccius, Bononiae, 1563.
948:De Subtilitate & Varietate Rerum
941:Browne critically viewed Cardan as:
926:References in literature and culture
598:adding citations to reliable sources
569:
332:, and acknowledged the existence of
320:he made the first systematic use of
3166:16th-century Italian mathematicians
3131:Jerome Cardan, a Biographical Study
2797:Full text (original page views) at
2623:Full text (original page views) at
2585:Full text (original page views) at
2568:Full text (original page views) at
2551:Full text (original page views) at
2499:Full text (original page views) at
2452:Full text (original page views) at
2439:Full text (original page views) at
2409:Full text (original page views) at
2375:Full text (original page views) at
2341:Full text (original page views) at
2264:Full text (original page views) at
2227:Full text (original page views) at
2197:Full text (original page views) at
2184:Full text (original page views) at
2154:Full text (original page views) at
2141:Full text (original page views) at
1544:Jerome Cardan, a Biographical Study
1473:Foundations of Discrete Mathematics
1458:Stanford Encyclopedia of Philosophy
1038:, Hieronymus Scotus, Venice, 1542.
978:Strew'd mighty empires up and down;
972:Cardan believ'd great states depend
24:
3068:, History of Science Collections,
3033:Herbermann, Charles, ed. (1913). "
2040:
1761:
1689:
1593:Armando Maggi (1 September 2001).
1271:
1265:Proxeneta, seu De Prudentia Civili
25:
3217:
2969:
2843:trans. by Jean Stoner. New York:
2473:, Vol. 59, No. 1 (Spring, 1968),
1766:(7th (2010) ed.). New York:
1452:Giglioni, Guido (23 April 2013).
1363:Volume 10: Opuscula Miscellanea (
1211:Paris, In Aedibus Rouillii, 1565.
723:Significantly, in the history of
670:historically informed performance
664:for its discussion of the use of
3090:Forster, E.M. (1 January 1905).
3070:University of Oklahoma Libraries
3022:
2834:Astrological Aphorisms of Cardan
2612:Freiburger historische Beistände
1176:Theonoston, seu De Tranquilitate
824:Scotland and Archbishop Hamilton
775:, was not described by Cardano.
574:
3171:16th-century Italian physicians
2804:
2791:
2752:
2722:
2705:
2668:
2651:
2634:
2617:
2596:
2579:
2562:
2545:
2532:
2519:
2506:
2493:
2480:
2463:
2446:
2433:
2416:
2403:
2382:
2369:
2356:
2335:
2318:
2284:The Rules of Algebra: Ars Magna
2275:
2258:
2249:An electronic copy of his book
2234:
2221:
2208:
2191:
2178:
2161:
2148:
2135:
2122:
2108:
2095:
2013:
1998:
1985:
1969:
1966:(London, 1992), p. 241 no. 652.
1956:
1938:
1885:
1863:
1824:
1809:
1800:
1774:
1755:
1731:
1675:
1399:
1166:(reply to J.C. Scaliger), 1557.
1132:, Henrichus Petri, Basle, 1554.
585:needs additional citations for
3186:16th-century Italian inventors
1982:(Edinburgh, 1833), pp. 21, 73.
1976:Calendar State Papers Scotland
1683:"Girolamo Cardano - Biography"
1617:
1553:
1536:
1464:
1445:
1419:
1229:, Henric Petrina, Basel, 1570.
1158:De Rerum varietate, Libri XVII
425:
371:, lawyer, and close friend of
185:[dʒeˈrɔːlamokarˈdaːno]
13:
1:
3161:16th-century writers in Latin
3014:History of Science Collection
2944:Cardano, the Gambling Scholar
1412:
507:{\displaystyle ax^{3}+bx+c=0}
2810:M. Fierz (trans. H. Niman),
2661:; Amsterdam 1654 edition at
2009:(Amsterdam, 1654), pp. 136-7
1349:Volume 8: Medicinalium III (
1164:Actio prima in calumniatorem
1041:Translation into English by
873:Cardano was arrested by the
528:Opus novum de proportionibus
7:
2266:Bayerische StaatsBibliothek
2199:Bayerische StaatsBibliothek
1628:. London: Osprey Military.
1601:University of Chicago Press
1373:
1356:Volume 9: Medicinalium IV (
1342:Volume 7: Medicinalium II (
1087:(on algebra: also known as
1057:De Sapientia, Libri quinque
1036:De Consolatione, Libri tres
406:Early career as a physician
10:
3222:
3196:University of Pavia alumni
2962:Princeton University Press
2825:
1701:Bruno, Leonard C (2003) .
1568:Universität Duisburg Essen
1521:. rice.edu. Archived from
1335:Volume 6: Medicinalium I (
756:Delle orine, libro quattro
367:, a mathematically gifted
287:to rotate freely, and the
29:
2362:J.M. Forrester (trans.),
2347:New York Public Libraries
2052:Regier, Jonathan (2019).
1178:, 1561. (Opera, Vol. II).
1077:Contradicentium medicorum
1071:De Immortalitate animorum
817:transcendental philosophy
516:Niccolò Fontana Tartaglia
170:
160:
152:
145:
134:Cardano–Tartaglia formula
129:
119:
111:
89:
64:
48:
41:
3181:16th-century astrologers
3121:De Subtilitate Libri XXI
3008:University of St Andrews
2923:Harvard University Press
2845:New York Review of Books
2022:Bruniana e Campanelliana
1624:Angus., Konstam (1996).
1432:"Cardan, Girolamo"
1392:
1241:, 1576 (autobiography).
1108:(on natural phenomena),
1017:
842:Archbishop of St Andrews
436:University of St Andrews
396:Italian War of 1521–1526
340:Early life and education
137:First systematic use of
3206:Italian music theorists
3082:(1936). Middlesex, UK:
3054:15 October 2015 at the
2859:Nero: an Exemplary Life
1980:Memoirs of his own life
1849:Oxford University Press
1752:, 1966, 1977, page 119.
1561:"Quick Fact on Cardona"
1438:Encyclopædia Britannica
887:De Supplemento Almanach
3086:Ltd. pp. 208–221.
2873:Journey through Genius
2783:: CS1 maint: others (
2697:: CS1 maint: others (
2538:A. Paratico (trans.),
2310:: CS1 maint: others (
2119:Bk 1: chapter 8 no. 13
985:
955:Richard Hinckley Allen
952:
837:
821:
794:
752:Degli abusi dei medici
637:
508:
438:
352:
205:
197:
55:17th-century portrait
3201:Scientists from Pavia
3191:Physicians from Pavia
3040:Catholic Encyclopedia
2116:Pseudodoxia Epidemica
2034:10.19272/201704102017
2007:De Propria Vita Liber
1950:Principles of Geology
1513:Westfall, Richard S.
969:
943:
868:University of Bologna
853:Later years and death
831:
809:
804:Principles of Geology
789:
725:education of the deaf
631:
532:binomial coefficients
509:
433:
347:
262:binomial coefficients
2994:Robertson, Edmund F.
2975:Georgio Vivi (ed.),
2841:The Book of My Life.
2245:26 June 2008 at the
2004:Cardanus, Gerolamo,
1935:(here cited p. 130).
1750:Simon & Schuster
1519:T he Galileo Project
1136:Geniturarum Exemplar
1106:De Subtilitate rerum
748:Picciola terapeutica
654:woodwind instruments
594:improve this article
467:
260:; he introduced the
3176:Italian astrologers
3125:Library of Congress
2992:O'Connor, John J.;
2981:View free at Scribd
2946:. Princeton, 1953.
2877:John Wiley and Sons
2875:, Chapter 6, 1990,
2857:Cardano, Girolamo,
2850:Cardano, Girolamo,
2839:Cardano, Girolamo,
2832:Cardano, Girolamo,
2719:(Internet Archive).
2676:The Book of My Life
2328:(Lyons, 1663), IV,
1893:Smith, David Eugene
1830:Katz, ibid., p. 488
1806:Katz, ibid., p. 488
1795:Liber de Ludo Aleae
1515:"Cardano, Girolamo"
1310:Volume 3: Physica (
1250:Liber De Ludo aleae
1209:De Methodo medendi,
1112:, Nuremberg, 1550.
771:, sometimes called
566:Other contributions
547:Liber de ludo aleae
400:University of Padua
392:University of Pavia
314:. In his 1545 book
206:Hieronymus Cardanus
124:University of Pavia
3096:Independent Review
3018:Linda Hall Library
2998:"Gerolamo Cardano"
2956:Sirasi, Nancy G.,
2934:Chapman & Hall
2715:(Lyons, 1663), I,
2711:C. Sponius (ed.),
2324:C. Sponius (ed.),
2101:J.S. Finch (ed.),
1845:Grove Music Online
1658:"Cardan biography"
1152:De Libris propriis
1148:(written c. 1556).
1140:De Genituris liber
1065:De Libris Propriis
988:Alessandro Manzoni
879:De rerum varietate
838:
795:
638:
530:he introduced the
504:
443:Scipione del Ferro
439:
353:
2771:978-0-486-79793-9
2748:978-0-393-04002-9
2685:978-1-59017-016-8
2298:978-0-486-45873-1
2169:Cardanus Comforte
1793:In Chapter 20 of
1742:Asimov on Numbers
1610:978-0-226-50132-1
1603:. pp. 181–.
1252:("On Casting the
1146:Ars Curandi Parva
1004:English novelist
916:Pope Gregory XIII
738:' anatomy and of
698:Cardan's Movement
626:
625:
618:
520:imaginary numbers
457:in his 1545 book
373:Leonardo da Vinci
334:imaginary numbers
330:quartic equations
301:De proportionibus
174:
173:
147:Scientific career
93:21 September 1576
75:24 September 1501
32:Cardanus (crater)
16:(Redirected from
3213:
3135:Internet Archive
3111:
3109:
3107:
3066:Online Galleries
3044:
3026:
3025:
3010:
2914:Grafton, Anthony
2863:Neronis Encomium
2819:
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2756:
2750:
2726:
2720:
2709:
2703:
2702:
2696:
2688:
2672:
2666:
2659:Internet Archive
2655:
2649:
2638:
2632:
2621:
2615:
2606:. 1570 only, at
2600:
2594:
2587:Internet Archive
2583:
2577:
2570:Internet Archive
2566:
2560:
2553:Internet Archive
2549:
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2530:
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2491:
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2454:Internet Archive
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2431:
2420:
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2407:
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2386:
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2373:
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2343:Internet Archive
2339:
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2322:
2316:
2315:
2309:
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2270:Internet Archive
2262:
2256:
2238:
2232:
2225:
2219:
2212:
2206:
2195:
2189:
2182:
2176:
2167:T. Bedingfield,
2165:
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2152:
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2143:Internet Archive
2139:
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2130:Internet Archive
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1962:C. S. Knighton,
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1548:Internet Archive
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1489:
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1449:
1443:
1442:
1434:
1423:
1406:
1403:
1386:Negative numbers
1326:Internet Archive
1290:Internet Archive
1194:), Basle, 1562.
1188:Neronis encomium
993:I Promessi Sposi
729:Rudolph Agricola
714:perpetual motion
621:
614:
610:
607:
601:
578:
570:
536:binomial theorem
513:
511:
510:
505:
482:
481:
455:quartic equation
451:Lodovico Ferrari
359:, Lombardy, the
322:negative numbers
305:printing presses
293:universal joints
273:combination lock
266:binomial theorem
187:
182:
177:Gerolamo Cardano
165:Lodovico Ferrari
161:Notable students
139:negative numbers
96:
74:
72:
53:
43:Girolamo Cardano
39:
38:
21:
3221:
3220:
3216:
3215:
3214:
3212:
3211:
3210:
3141:
3140:
3117:by Tony Rothman
3105:
3103:
3080:Abinger Harvest
3056:Wayback Machine
3035:Girolamo Cardan
3023:
2972:
2967:
2928:Morley, Henry,
2901:arXiv:0806.0485
2869:Dunham, William
2828:
2823:
2822:
2809:
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2597:
2584:
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2567:
2563:
2550:
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2507:
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2259:
2247:Wayback Machine
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2100:
2096:
2081:1854/LU-8608904
2056:
2050:
2041:
2018:
2014:
2003:
1999:
1990:
1986:
1974:
1970:
1961:
1957:
1943:
1939:
1895:(1 July 1917).
1890:
1886:
1876:
1874:
1869:
1868:
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1841:
1834:
1829:
1825:
1814:
1810:
1805:
1801:
1792:
1788:
1779:
1775:
1762:Burton, David.
1760:
1756:
1744:, published by
1736:
1732:
1717:
1699:
1690:
1681:
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1676:
1666:
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1656:
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1559:
1558:
1554:
1541:
1537:
1528:
1526:
1525:on 28 July 2012
1511:
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1469:
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1420:
1415:
1410:
1409:
1404:
1400:
1395:
1376:
1276:
1273:Collected Works
1239:De Vita propria
1110:Johann Petreius
1061:De Consolatione
1020:
1011:Abinger Harvest
984:
981:
979:
977:
975:
973:
928:
855:
846:Thomas Randolph
826:
797:As quoted from
784:
769:universal joint
764:Cardano's Rings
658:Vatican Library
622:
611:
605:
602:
591:
579:
568:
524:Rafael Bombelli
477:
473:
468:
465:
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428:
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349:De propria vita
342:
299:- published in
180:
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120:Alma mater
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2984:
2971:
2970:External links
2968:
2966:
2965:
2954:
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2936:, London 1854.
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2094:
2073:10.1086/706783
2067:(4): 661–679.
2039:
2028:(2): 533–540.
2012:
1997:
1991:Markus Fierz,
1984:
1968:
1955:
1937:
1907:(2): 125–140.
1884:
1873:. Seyhan Ersoy
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1429:, ed. (1911).
1427:Chisholm, Hugh
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854:
851:
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822:
813:De Subtilitate
793:, 1559 edition
791:De subtilitate
783:
780:De Subtilitate
777:
642:music theorist
640:Cardano was a
624:
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606:September 2017
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447:cubic equation
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383:to escape the
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242:music theorist
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3128:
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3101:
3097:
3093:
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3084:Penguin Books
3081:
3077:
3076:Forster, E.M.
3074:
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3064:
3062:
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3057:
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2687:
2681:
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2290:
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2261:
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2253:
2248:
2244:
2241:
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2230:
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2205:at pp. 1-273.
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2170:
2164:
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1981:
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1965:
1959:
1952:
1951:
1946:
1945:Charles Lyell
1941:
1932:
1928:
1923:
1918:
1914:
1910:
1906:
1902:
1898:
1894:
1888:
1872:
1866:
1858:
1854:
1850:
1846:
1839:
1837:
1827:
1821:
1820:magazine 2012
1819:
1812:
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1790:
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1769:
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1569:
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1542:W.G. Waters,
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1482:0-534-92373-9
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583:This section
581:
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419:
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403:
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386:
382:
378:
374:
370:
366:
365:Fazio Cardano
362:
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335:
331:
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198:Jérôme Cardan
195:
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3099:
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2236:
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2203:De Sapientia
2202:
2193:
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2163:
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2006:
2000:
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1900:
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1865:
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1789:
1781:
1776:
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1757:
1746:Pocket Books
1741:
1738:Isaac Asimov
1733:
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1665:. Retrieved
1652:
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1567:
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1523:the original
1518:
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1122:Metoposcopia
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1063:reprint and
1060:
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587:verification
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297:hypocycloids
289:Cardan shaft
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105:Papal States
95:(1576-09-21)
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3156:1576 deaths
3151:1501 births
3106:25 February
2852:Opera omnia
2729:J. Gullberg
2514:Hathi Trust
2330:pp. 621-end
2173:Hathi Trust
1780:V.J. Katz,
1768:McGraw-Hill
1190:(a life of
936:his library
920:Pope Pius V
892:Tetrabiblos
875:Inquisition
836:(1509–1590)
834:Leone Leoni
703:Scotch yoke
687:Beati estis
634:Leone Leoni
551:probability
426:Mathematics
258:probability
254:Renaissance
238:philosopher
112:Nationality
3145:Categories
2717:pp. 262-76
2589:; also in
2255:(in Latin)
1716:0787638137
1667:30 October
1635:1855325047
1529:2012-07-19
1413:References
1067:, book I).
666:microtones
234:astronomer
230:astrologer
196:; French:
71:1501-09-24
59:of Cardano
3102:: 365–374
2818:(Google).
2816:pp. 32-33
2475:pp. 74-77
2332:(Google).
2252:Ars Magna
2089:201272821
1573:2 October
1494:cite book
1380:Blow book
1089:Ars magna
999:Aristotle
990:'s novel
883:astrology
646:De Musica
636:, 1550–51
460:Ars Magna
363:child of
317:Ars Magna
285:gyroscope
222:physicist
218:biologist
214:physician
141:in Europe
57:engraving
3092:"Cardan"
3052:Archived
2932:2 vols.
2779:citation
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2306:citation
2243:Archived
1931:33943138
1913:12650954
1725:41497065
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1374:See also
964:Hudibras
860:beheaded
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736:Mundinus
534:and the
264:and the
210:polymath
194:Geronimo
190:Girolamo
181:Italian:
3060:English
3031::
2964:, 1997.
2925:, 2001.
2847:, 2002.
2826:Sources
2428:Vol. II
2392:; from
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1877:1 April
1045:(1573).
912:annuity
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281:compass
250:gambler
226:chemist
188:; also
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2424:Vol. I
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246:writer
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1393:Notes
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914:from
905:Index
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740:Galen
684:motet
559:event
543:chess
526:. In
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357:Pavia
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