1. Cut The Knot! crosssection of an apple." The curve was named by Johann Castillon in a treatise that appeared in 1741. At the time, Castillon was 37 and http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. References For Castillon References for the biography of Johann Castillon http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Castillon Biography of Johann Castillon (17041791) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. Biography Of Castillon, Johann Biography of Castillon, Johann http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. Carl Orff Gregorian Chant Giovanni Domenico Del Giovane Da Nola Allegri MarcAntoine Charpentier Antonio Vivaldi Johann Sebastian Bach 12 Williams Edvard Grieg Maurice Ravel Alexis De Castillon Gustav Holst http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Lebensdaten Von Mathematikern Jean Dominique (1748 1845) Castel, Louis (1688 - 1757) Castelnuovo, Guido (1865 - 1952) Castillon, Johann (1704 - 1791) Catalan, Eugene http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Neue Seite 1 Castelnuovo, Guido (1865 1952) Castillon, Johann (1704 - 1791) Catalan, Eugene (1814 - 1894) Cataldi, Pietro Antonio (15.4.1548 - 11.2.1626) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Full Alphabetical Index Cassini, Giovanni (309*) Castel, Louis (172) Castelnuovo, Guido (384*) Castigliano, Alberto (456) Castillon, Johann (162) Catalan, Eug ne http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. C Index Cassini, Jacques (1415*) Castel, Louis (172) Castelnuovo, Guido (1702*) Castigliano, Alberto (456*) Castillon, Johann (162) Catalan, Eug ne http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Microsoft Word - Rare_books.doc des Planeten Saturn seines Ringes und seiner Trabanten / von Johann Hieronymus Schroter. Author Schroter, Johann Hieronymous, 17451816 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Castillon Biography of johann castillon (17041791) johann castillon studied mathematicsat Pisa then went to Switzerland. While in Switzerland he changed his http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Castillon.html

Johann Castillon Born: 15 Jan 1704 in Castiglione, Tuscany, Italy Died: 11 Oct 1791 in Berlin, Germany Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Johann Castillon studied mathematics at Pisa then went to Switzerland. While in Switzerland he changed his name so that he took the name of the town of his birth. He was born Giovanni Francesco Melchiore Salvemini. Castillon taught at Lausanne and also at Bern. In 1751 he went to the University of Utrecht to lecture on mathematics and astronomy. He obtained a doctorate from Utrecht in 1754, becoming a professor there in 1755. Three years later Castillon became rector of the University. In 1764 he went to Berlin becoming Royal Astronomer at the Berlin Observatory in 1765. His first two papers are on the cardioid curve which he named. He also studied conic sections cubic equations and artillery problems. Castillon published the Leibniz Johann Bernoulli correspondence. He edited works of Euler and published a commentary on Newton 's Arithmetica Universalis.

12. References For Castillon References for the biography of johann castillon. References for johanncastillon. Version for printing. Biography in Dictionary of Scientific Biography http://www-groups.dcs.st-and.ac.uk/~history/References/Castillon.html

References for Johann Castillon Version for printing Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: C Thiel, Zur Beurteilung der intensionalen Logik bei Leibniz und Castillon, in Akten des II. Internationalen Leibniz-Kongresses (Wiesbaden, 1975), 27-37. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR December 1996 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Castillon.html

13. Gabriel Cramer In 1745, jointly with johann castillon, Cramer published the correspondencebetween johann Bernoulli and Leibniz. Cramer also edited a 5 volume work by http://www.stetson.edu/~efriedma/periodictable/html/Cm.html

Gabriel Cramer As part of his appointment, Cramer did lots of travelling. He visited leading mathematicians in many different cities and countries of Europe. He headed straight away for Basel where many leading mathematicians were working, spending five months working with Johann Bernoulli, and also Euler who soon afterwards headed off to St. Petersburg to be with Daniel Bernoulli. Cramer then visited England where he met Halley, de Moivre, Stirling, and other mathematicians. From England, Cramer made his way to Paris where he had discussions with Fontenelle, Maupertuis, Buffon, Clairaut, and others. His discussions with these mathematicians and the continuing correspondence with them after he returned to Geneva had a big influence on Cramer's work. Back in Geneva in 1729, Cramer was at work on an entry for the prize set by the Paris Academy for 1730. Cramer's entry was judged as the second best of those received by the Academy, the prize being won by Johann Bernoulli. In 1734, Calandrini was appointed to the chair of philosophy and Cramer became the sole holder of the Chair of Mathematics. Cramer lived a busy life, for in addition to his teaching and correspondence with many mathematicians, he produced articles of considerable interest, although these are not of the importance of the articles written by most of the top mathematicians with whom he corresponded. He published articles covering a wide range of subjects including the study of geometric problems, the history of mathematics, philosophy, and the date of Easter. He published an article on the aurora borealis, and one on law where he applied probability to demonstrate the significance of having independent testimony from 2 or 3 witnesses rather than from a single witness.

14. Anzeige le castillon, johann von Premier mémoire sur les parallèles d Euclide http://bibliothek.bbaw.de/bibliothek-digital/digitalequellen/schriften/anzeige/i

15. Anzeige castillon, johann vonSur les conducteurs destinés à garantir de la foudre les édifices http://bibliothek.bbaw.de/bibliothek-digital/digitalequellen/schriften/anzeige/i

16. List Of Scientists By Field castillon, johann. Castle, William Ernest. Catalán, Miguel Antonio. Cataldi,Pietro Antonio. Catesby, Mark. Cattell, James McKeen. Cattell, James McKeen http://www.indiana.edu/~newdsb/c.html

Cabanis, Pierre-Jean-Georges Cabanis, Pierre-Jean-Georges Cabanis, Pierre-Jean-Georges Cabeo, Niccolo Cabeo, Niccolo Cabeo, Niccolo Cabrera, Blas Cadet de Gassicourt, Charles- Louis Cadet de Gassicourt, Charles- Louis Cadet, Louis-Claude Cagniard de la Tour, Charles Cailletet, Louis Paul Cailletet, Louis Paul Caius, John Calandrelli, Giuseppe Calandrelli, Ignazio Calandrelli, Ignazio Calcidius Caldani, Leopoldo Marcantonio Caldani, Leopoldo Marcantonio Calkins, Gary Nathan Callan, Nicholas Callandreau, Pierre Jean Octave Callendar, Hugh Longbourne Callendar, Hugh Longbourne Callinicos of Heliopolis Callippus Callippus Calmette, Albert Camerarius, Rudolph Jakob Camerarius, Rudolph Jakob Cameron, Angus Ewan Cameron, Angus Ewan Campanella, Tommaso Campani, Giuseppe Campani, Giuseppe Campanus of Novara Campanus of Novara Campbell, Douglas Houghton Campbell, Ian Campbell, Norman Robert Campbell, Norman Robert Campbell, William Wallace Campbell, William Wallace Camper, Peter Camper, Peter Camper, Peter Canano, Giovan Battista Canano, Giovan Battista Cancrin, Franz Ludwig von

17. New Dictionary Of Scientific Biography Translate this page castillon, johann Cataldi, Pietro Antonio Cauchy, Augustin-Louis Cavalieri,Bonaventura Cayley, Arthur Cech, Eduard Cesàro, Ernesto Ceulen, Ludolph van http://www.indiana.edu/~newdsb/math.html

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18. Famous Mathematicians With AC Louis Castel Guido Castelnuovo Alberto Castigliano johann castillon Eugene CatalanPietro Cataldi AugustinLouis Cauchy Bonaventura Cavalieri Arthur Cayley http://www.famousmathematician.com/az/mathematician_C.htm

Mathematicians - C Renato Caccioppoli Florian Cajori Alberto Calderon Callippus John Campbell Charles Camus Doris Cannell Francesco Cantelli Georg Cantor Moritz Cantor Juan Caramuel Constantin Caratheodory Pierre de Carcavi Girolamo Cardano Leonard Carlitz Thomas Carlyle Lazare Carnot Sadi Carnot Lewis Carroll Horatio Carslaw Elie Cartan Henri Cartan Dame Mary Cartwright Felice Casorati John Cassels Giovanni Cassini Louis Castel Guido Castelnuovo Alberto Castigliano Johann Castillon Eugene Catalan Pietro Cataldi Augustin-Louis Cauchy Bonaventura Cavalieri Arthur Cayley Eduard Cech Ernesto Cesaro Ludolph van Ceulen Giovanni Ceva Tommaso Ceva Sergi Chaplygin Sydney Chapman Gabrielle du Chatelet Nikolai Chebotaryov Pafnuty Chebyshev Shiing-shen Chern Sergei Chernikov Claude Chevalley Grace Chisholm Young Sarvadaman Chowla Elwin Christoffel Chrysippus George Chrystal Graham Fan Chung Nicolas Chuquet

19. Cardioids From Many Angles The curve was named by johann castillon in a treatise that appeared in 1741.At the time, castillon was 37 and might have still felt lighthearted; http://www.cut-the-knot.com/ctk/Cardi.shtml

Username: Password: Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents Cut The Knot! An interactive column using Java applets by Alex Bogomolny Hearty Munching on Cardioids September 1998 Cardioid (heart-shaped) is a curve with a characteristic shape which is variably described as "vaguely resembling heart", "kidney bean like", or "apple cross-section." The curve was named by Johann Castillon in a treatise that appeared in 1741. At the time, Castillon was 37 and might have still felt light-hearted; perhaps he wrote the treatise in the spring... To me, the curve is distinctly "apple-like" ( meeloid might be an appropriate term.) The language of fruits and delicacies become relevant in expectation of a morsel that relates the cardioid at the heart of the Mandelbrot set to the Farey and Fibonacci sequences. In a paper scheduled to appear in The American Mathematical Monthly this Fall, Bob Devaney of Boston University elaborates on the wonderful results described at his Web site As I digest the paper, I hope to follow suit with a page of my own. Meanwhile, here is an old dish with a new dressing. Defined kinematicly cardioid is the locus of points traced by a point (M) on a moving circle that rolls without slipping on the outside of a circle of equal radius ( click!

20. John Locke Bibliography Chapter 3, Philosophy 1751-1800 Par M. de castillon. // IN Nouveaux mémoires de l’Académie royale des sciences et Herausgegeben von johann August Eberhard. – 1. Band (1789)929. http://www.libraries.psu.edu/tas/locke/ch3-18ca.html

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