Monsieur Dandelin I was first introduced to Monsieur germinal Pierre dandelin in Math 309, germinal dandelin (17941847) was a mathematician whose career was very much http://www.cs.ubc.ca/~tzupei/Math/
Extractions: and his 3D proof of Pascal's Theorem Welcome to my Monsieur Dandelin's page! http://www.adobe.com ). You might also want to pre-read the English translation of Germinal Dandelin's "Hyperboloids of Revolution and the Hexagons of Pascal and Brianchon" in order to make any sense out of the illustrations I made. Short cuts: How did I find out about Monsieur Dandelin and how I reacted to his work I was first introduced to Monsieur Germinal Pierre Dandelin in Math 309, 1997 Spring by Prof. Bill Casselman . We were studying astronomical math and Dandelin's 3D proof of conic sections properties was a perfect sculpture to initiate our interest. The 3D proof involves a cone with one or two spheres inscribed inside and a cutting plane. Depending on the position of the spheres and the cutting plane with respect to the conic section, one can easily comprehend (when one sees the picture) why the sum/difference of the distance between any given point on the conic curve and the two focal points are constant. (If you are interested in reading more about this, please refer to Xah's conic section page Intrigued by Dandelin's unique geometric approach, I got hold of a copy of his papers
Dandelin's Spheres (PRIME) The famous construction of dandelin, from the Platonic Realms Interactive Math due to the French/Belgian mathematician germinal dandelin (1794 1847), http://www.mathacademy.com/pr/prime/articles/dandelin/index.asp
Extractions: We take the case of an ellipse; the other cases are quite similar. As a conic section, an ellipse is the intersection of a cone and a plane whose angle to the vertical is larger than that of the generator of the cone. That is, it is the curve that results when a plane slices right through one of the nappes of the cone. The standard proof of this fact is straightforward, but we'll content ourselves with noticing that it follows more or less immediately from the symmetry of the situation. Indeed, if we rotate the above figure about its axis of symmetry, we get an immediate extension to the case of a sphere inscribed in a cone:
Dandelin Spheres -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about germinal Pierre dandelin) germinalPierre dandelin. Each conic section has one dandelin sphere for each focus. http://www.absoluteastronomy.com/encyclopedia/d/da/dandelin_spheres.htm
List Of Mathematicians -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about germinal Pierre dandelin) germinalPierre dandelin (France, Belgium, 1794 1847) http://www.absoluteastronomy.com/encyclopedia/l/li/list_of_mathematicians.htm
Extractions: The famous (A person skilled in mathematics) mathematician s are listed below in (An Indo-European language belonging to the West Germanic branch; the official language of Britain and the United States and most of the Commonwealth countries) English (A character set that includes letters and is used to write a language) alphabet ical (A transcription from one alphabet to another) transliteration order (by (The name used to identify the members of a family (as distinguished from each member's given name)) surname (Click link for more info and facts about Abu'l-Hasan al-Uqlidisi) Abu'l-Hasan al-Uqlidisi (Arab mathematician, ? - ?)
Extractions: Feedback ger·mi·nate (jûr m -n t v. ger·mi·nat·ed ger·mi·nat·ing ger·mi·nates v. tr. To cause to sprout or grow. v. intr. To begin to sprout or grow. To come into existence: An idea germinated in his mind. [Latin germin re , germin t- to sprout , from germen , germin- seed ; see gen in Indo-European roots.] ger mi·na tion n. ger mi·na tive adj. ger mi·na tor n. germinate germination of a bean seed Thesaurus Legend: Synonyms Related Words Antonyms Verb germinate - produce buds, branches, or germinate; "the potatoes sprouted" bourgeon burgeon forth sprout spud ... grow - increase in size by natural process; "Corn doesn't grow here"; "In these forests, mushrooms grow under the trees" germinate - cause to grow or sprout; "the plentiful rain germinated my plants"
List Of Scientists By Field Translate this page dandelin, germinal Pierre. dandelin, germinal Pierre. Danforth, Charles Haskell.Danforth, Charles Haskell. Daniell, John Frederic. Daniell, John Frederic http://www.indiana.edu/~newdsb/d.html
Extractions: Dahlberg, Gunnar Dainelli, Giotto Dainelli, Giotto Dakin, Henry Drysdale Dakin, Henry Drysdale Dal Piaz, Giorgio Dal Piaz, Giorgio Dale, Henry Hallett Dale, Henry Hallett Dale, Henry Hallett Dall, William Healey Dalton, John Dalton, John Dalton, John Dalton, John Call Dalton, John Call Daly, Reginald Aldworth Daly, Reginald Aldworth Dam, Henrik Dam, Henrik Dana, James Dwight Dandelin, Germinal Pierre Dandelin, Germinal Pierre Danforth, Charles Haskell Danforth, Charles Haskell Daniell, John Frederic Daniell, John Frederic Daniell, John Frederic Daniels, Farrington Danti, Egnatio Danti, Egnatio Dantzig, David van Dantzig, David van Dantzig, David van Darboux, Jean-Gaston D'Arcet, Jean D'Arcy, Patrick D'Arcy, Patrick Darlington, Cyril Dean Darlington, William Darwin, Charles Galton Darwin, Charles Galton Darwin, Charles Robert Darwin, Charles Robert Darwin, Charles Robert Darwin, Erasmus Darwin, Erasmus Darwin, Erasmus Darwin, Erasmus Darwin, Francis Darwin, George Howard Darwin, George Howard Dasypodius, Cunradus Dasypodius, Cunradus Daubenton, Louis-Jean-Marie Daubenton, Louis-Jean-Marie
Technology/ Engineering Translate this page dandelin, germinal Pierre. Darwin, Erasmus. Davidov, August Yulevich. De Groot,Jan Cornets. De La Rue, Warren. Delaunay, Charles-Eugène. Deprez, Marcel http://www.indiana.edu/~newdsb/tech.html
Extractions: Technology/ Engineering Agassiz, Alexander Alberti, Leone Battista Albrecht, Carl Theodor Amici, Giovan Battista Amsler, Jakob Archimedes Armstrong, Edwin Howard Ayrton, Hertha Babbage, Charles Baker, Henry Balbus Baldi, Bernardino Barkhausen, Heinrich Georg Bauer, Franz Andreas Beale, Lionel Smith Beckmann, Johann Beeckman, Isaac Bell, Alexander Graham Bellinsgauzen, Faddei F. Berger, Hans Berkner, Lloyd Viel Bernoulli, Jakob Bessemer, Henry Betancourt y Molina, Augustin de Bion, Nicolas Borelli, Giovanni Alfonso Borries, Bodo von Bossut, Charles Bour, Edmond Boussinesq, Joseph Valentin Brashman, Nikolai Dmitrievich Brinell, Johan August Brioschi, Francesco Brown, Ernest William Brunelleschi, Filippo Bunyakovsky, Viktor Yakovlevich Buono, Paolo del Bush, Vannevar Cailletet, Louis Paul Callendar, Hugh Longbourne Campani, Giuseppe Carnot, Lazare-Nicolas- Marguerite Castelli, Benedetto Castigliano, Alberto Cauchy, Augustin-Louis Chaplygin, Sergei Alekseevich Charcot, Jean-Baptiste Chardonnet, Louis-Marie- Hilaire Bernigaud Christofilos, Nicholas Constantine Clairaut, Alexis-Claude
Math Lessons - Germinal Pierre Dandelin Math Lessons germinal Pierre dandelin. germinal Pierre dandelin. germinalPierre dandelin (1794 - 1847) was a mathematician, soldier, and professor of http://www.mathdaily.com/lessons/Germinal_Pierre_Dandelin
Extractions: Search algebra arithmetic calculus equations ... more applied mathematics mathematical games mathematicians more ... Mining engineers Germinal Pierre Dandelin ) was a mathematician soldier , and professor of engineering . He was born near Paris to a French father and Belgian mother, studying first at Ghent then returning to Paris to study at the . He was wounded fighting under Napoleon . He worked for the Ministry of the Interior under Lazare Carnot . Later he became a citizen of the Netherlands , a professor of mining engineering in Belgium , and then a member of the Belgian army. He is the eponym of the Dandelin spheres , of Dandelin's theorem in geometry (for an account of that theorem, see Dandelin spheres stereographic projection algebra , and probability theory Biography in Dictionary of Scientific Biography (New York 1970-1990). F Cajori, The Dandelin-Gräffe method , in A history of Mathematics (New York, 1938), 364.
Mathematics Animated Tracing a Parabola with Quetelet dandelin A proof of Quetelet dandelin the Belgian geometers Adolphe Quetelet and germinal dandelin devised a simple http://clem.mscd.edu/~talmanl/MathAnim.html
Extractions: Metropolitan State College of Denver The objects below are QuickTime animations; they should work on Macintosh computers or on Windoze boxes that have QuickTime installed. If you don't have QuickTime, you can get the latest version at Apple's QuickTime site This page has proved to be much more popular than I could ever have imagined that it would, and I've heard complaints from several sources that it includes little or no explanation of what the animations illustrate. My original intent was that knowlegeable instructors would use the movies with their students; of course, such instructors would already know what was going on and would provide their own explanations. However, to my amazement and gratification, many more people other than instructors appear to have found something (or things) that they like hereso explanations may now be needed. Over the next few months, I will try to add some. Bill Emerson, Brad Kline, and I gave an MAA Minicourse in creating and exporting animations like these to the Web at the Joint Mathematics Meetings in New Orleans during January of 2001 and in San Diego during January of 2002. Bill and I also gave a workshop at the Spring 2002 meeting of the Rocky Mountain Section of the MAA in Laramie, WY, in April of 2002. We're always happy to discuss these techniques. Write.
KöMaL - Rita Kós: Conics And Dandelin Spheres germinal Pierre dandelin (17941847) was a French engineer, who lived in Belgium.In 1822, he discovered the relation between the intersection curve of the http://www.komal.hu/cikkek/dandelin/dandelin.e.shtml
Extractions: Rita Kós: Conics and Dandelin spheres By intersecting a cone with a plane - not passing through the vertex of the cone -, curves of different types can be obtained, depending on the angle enclosed between the plane and the axis of the cone. If the angle is equal to the half of the apex angle of the cone, the intersection curve is a parabola ; if it is smaller than the half-angle, then the intersection is a hyperbola; if the angle is greater than the half-angle, then the curve is an ellipse ; and finally, if the plane is perpendicular to the axis, then the intersection is a circle The curves listed above can also be considered as the loci of points of certain properties. The parabola is the locus of those points in the plane that are equidistant from a fixed point, called the focus , and a fixed straight line, called the directrix. The ellipse is the locus of those points in the plane for which the sum of the distances from two given points - the so-called foci - is constant. The hyperbola is the locus of those points in the plane for which the difference between the distances from two given points - the so-called foci - is constant.
Biography-center - Letter D dandelin, germinal ww whistory.mcs.st-and.ac.uk/~history/Mathematicians/dandelin.html;Dandy, Walter Edward www.whonamedit.com/doctor.cfm/447.html http://www.biography-center.com/d.html
Extractions: random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish 497 biographies D aly, Tyne
Dandelin They were so much of a mystery that 200 years after Kepler, in the 19th century,a Belgian geometer named germinal dandelin gave a remarkable geometric http://joma.org/images/upload_library/4/ellipses/footnotes/footnote1.htm
Extractions: While it is easy to prove these facts analytically given the standard form equation for a general ellipse, the proof never reveals why that they should be true. They were so much of a mystery that 200 years after Kepler , in the 19th century, a Belgian geometer named Germinal Dandelin gave a remarkable geometric proof of the focus-locus property of ellipses, using a construction that has come to be known as the Dandelin spheres The main picture of his construction is shown below, and you may learn more about his argument in Eric Weisstein's article at mathworld
Dandelin They were so much of a mystery that 200 years after Kepler in the 19th century,a Belgian Geometer named germinal dandelin gave a remarkable geometric proof http://www.mathwright.com/library6/footnote1.htm
Extractions: While it is easy to prove these facts analytically given the standard form equation for a general ellipse, the proof never reveals why that they should be true. They were so much of a mystery that 200 years after Kepler in the 19th century, a Belgian Geometer named Germinal Dandelin gave a remarkable geometric proof of the focus-locus property of ellipses using a construction that has come to be known as the Dandelin spheres. The main picture of his construction is shown below, and you may learn more about his argument in Eric Weisstein's article at mathworld
Extractions: Arbeitsgebiete: Kegelschnitte Nach Dandelin sind die Dandelinschen Kugeln benannt: eine bzw. zwei Kugeln, die sämtlich Mantellinien eines geraden Kreiskegels und eine Schnittebene in den Brennpunkten des entstehenden Kegelschnitts berühren; die Dandelinschen Kugeln dienen der Herleitung der Eigenschaften von Kegelschnitten.
Xah: Special Plane Curves: Conic Sections dandelin sphere relate many properties of the conics to the cone. It is namedafter its discoverer germinal Pierre dandelin (1822). http://www.xahlee.org/SpecialPlaneCurves_dir/ConicSections_dir/conicSections.htm
Extractions: graphics code cone_cut.gcf Mathematica Notebook for This Page History ... Related Web Sites Appollonius was the first to base the theory of all three conics on sections of one circular cone, right or oblique. He is also the one to give the name ellipse, parabola, and hyperbola. A brief explanation of the naming can be found in Howard Eves, An Introduction to the History of Math. 6th ed. page 172. (also see J.H.Conway's newsgroup message, link at the bottom) In Renaissance, Kepler's law of planetary motion, Descarte and Fermat's coordinate geometry, and the beginning of projective geometry started by Desargues, La Hire, Pascal pushed conics to a high level. Many later mathematicians have also made contribution to conics, espcially in the development of projective geometry where conics are fundamental objects as circles in Greek geometry. Among the contributors, we may find Newton, Dandelin, Gergonne, Poncelet, Brianchon, Dupin, Chasles, and Steiner. Conic sections is a rich classic topic that has spurred many developments in the history of mathematics. Hyperbola ellipse , and parabola are together known as conic sections, or just conics. So called because they are the intersection of a right circular cone and a plane.
Glace En Cône Pour ceux quidésirent connaître mieux dandelin, germinal Pierre dandelin est né au Bourget http://hypo.ge-dip.etat-ge.ch/www/math/html/node86.html
Extractions: Sommaire Escher et math L'exercice s'inspire du livre Mathematic in Action de Stan Wagon, Springer, New York, 1999 et de divers sites Internet. Indications et et la pente m et et , le point d'intersection M M aux centres et et Pour calculer On obtient alors: z en fonction de y M et M M P et Q . Les segments MA et MP M . Les segments MB et MQ Comme la longueur du segment PQ est constante quelque soit le point M (puisque P et Q A et B sont tels que pout tout point M de l'ellipse: Donc les points A et B sont bien les foyers de l'ellipse. dandelin.m Sommaire Escher et math
Acquiring Statistics | Adolphe Quetelet turned out acceptable paintings of his own, wrote poetry, and with his friendand fellow FrancoBelgian germinal dandelin, collaborated on an opera. http://www.umass.edu/wsp/statistics/tales/quetelet.html
Extractions: 22 Feb 1796 - 17 Feb 1874 Quetelet was born in Ghent, to a French father who had established himself there ten years earlier, and a Brabantine mother. The son successfully negotiated the upheavals which were being caused by the 1790 transition from the Austrian to the French Republican educational structures in the Austrian Netherlands, showing in the process a talent for the uses to which new institutions can be put. This skill was to serve him well in later life. In 1823 Brussels became again part of the southern Netherlands. Quetelet made contact with the Minister of Public Education, and interested him in the founding of an observatory in Brussels. Quetelet was sent to Paris to learn the requisite techniques. Among the things he learned, from contacts with Laplace, Fourier, and Poisson, was the central importance of probability theory in astronomy. Back in Brussels, Quetelet gave popular lectures at the Brussels Museum on probability as well as astronomy and physics; he added to his knowledge (and his collection of scientific instruments) by visiting other centers; he founded a journal. In 1826, being increasingly interested in the social aspect of his probability studies, he published a paper on the laws of births and mortality in Brussels, and subsequently advocated a complete population census, which was ordered by the government in 1828. In that year, Quetelet was appointed astronomer of the Brussels Observatory (which at that time was still 4 years short of completion).
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