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1. Dandelin
Germinal Pierre Dandelin. Germinal Dandelin s father, who was an administrator,was French but his mother came from Hainaut, now in Belgium.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Dandelin.html
Germinal Pierre Dandelin
Born: 12 April 1794 in Le Bourget, France
Died: 15 Feb 1847 in Brussels, Belgium
Click the picture above
to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
Germinal Dandelin In March 1814 the Treaty of Chaumont united Austria, Russia, Prussia and Britain in the aim of defeating Napoleon. When the allied armies arrived near Paris on 30 March 1814, Dandelin was in the opposing French army and was wounded on that day. Napoleon abdicated on 6 April, but in the following year he returned for the 100 days. During Napoleon's time back in control of France, Dandelin worked at the Ministry of the Interior under the command of Carnot . After Napoleon was defeated at Waterloo, Dandelin returned to Belgium. He became a citizen of the Netherlands in 1817. Dandelin's early mathematical influence was Quetelet , who was two years younger than him, and his early interests were in geometry. Dandelin has an important theorem on the intersection of a cone and its inscribed sphere with a plane, discovered in 1822, named after him. This theorem shows that if a cone is intersected by a plane in a conic , then the foci of the conic are the points where this plane is touched by the spheres inscribed in the cone.

2. Dandelin
Translate this page dandelin germinal Pierre, belge, 1794-1847. D’origine française, polytechnicien,ingénieur. Il s’installa à Liège où il prit la nationalité belge.
http://www.sciences-en-ligne.com/momo/chronomath/chrono2/Dandelin.html
DANDELIN Germinal Pierre, belge, 1794-1847 Apollonius paraboles Parabole : Pour en savoir plus :

  • sous la direction de Jacques-Louis LIONS - Ed. Didier, 1980.
    Librairie Hachette, Paris - 1946 - N.B. : l'illustration ci-dessus est extraite de ce livre.
Green Rodrigues

3. Dandelin
Germinal Pierre Dandelin. Born 12 April 1794 in Le Bourget, FranceDied 15 Feb 1847 in Brussels, Belgium. Show birthplace location
http://sfabel.tripod.com/mathematik/database/Dandelin.html
var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded"
Germinal Pierre Dandelin
Born: 12 April 1794 in Le Bourget, France
Died: 15 Feb 1847 in Brussels, Belgium
Show birthplace location Previous (Chronologically) Next Biographies Index
Previous
(Alphabetically) Next Welcome page Dandelin 's father, who was an administrator, was French but his mother came from Hainaut, now in Belgium. Dandelin studied at Ghent, then in 1813 he entered the Ecole Polytechnique in Paris. However his career was to be very much influenced by the political events of these turbulent times. In 1813 Dandelin had volunteered to fight the British. In March 1814 the Treaty of Chaumont united Austria, Russia, Prussia and Britain in the aim of defeating Napoleon. When the allied armies arrived near Paris on 30 March 1814, Dandelin was in the opposing French army and was wounded on that day. Napoleon abdicated on 6 April, but in the following year he returned for the 100 days. During Napoleon's time back in control of France, Dandelin worked at the Ministry of the Interior under the command of Carnot . After Napoleon was defeated at Waterloo, Dandelin returned to Belgium. He became a citizen of the Netherlands in 1817.

4. Bollen Van Dandelin
1. De stelling van dandelin germinal Pierre Dandelin (17941847, Le Bourget) werdgeboren in Frankrijk, maar wordt toch beschouwd als Belgisch wiskundige; hij
http://www.pandd.demon.nl/dandelin.htm
Bollen van Dandelin Dandelin Ellips Parabool Hyperbool ... Analytische meetkunde 1. De stelling van Dandelin
Germinal Pierre Dandelin
(1794-1847, Le Bourget) werd geboren in Frankrijk, maar wordt toch beschouwd als Belgisch wiskundige; hij bracht het grootste deel van zijn leven in België door (zijn moeder was Belgische), maar zeker ook omdat hij enige tijd mijnbouwkunde doceerde aan de universiteit van Luik.
Dandelin's eerste wiskundige belangstelling gold de meetkunde.
In 1822 ontdekte hij een belangrijke stelling, naar hem genoemd, over het verband tussen de doorsnede van een vlak en een kegel, en binnen die kegel beschreven bollen, de bollen van Dandelin
De stelling van Dandelin en de genoemde bollen worden behandeld in de paragraaf 2 (ellips), paragraaf 3 (parabool) en paragraaf 4 (hyperbool). figuur 1 In figuur 1 is een doorsnede getekend van een kegel met het vlak van tekening T (diagonaalvlak).
a is de as van de kegel en b is een beschrijvende.
a is de halve tophoek van de kegel.
c is de snijlijn van een vlak door O loodrecht op T. Dit vlak maakt met de as van de kegel een hoek

5. Dandelin, Germinal-Pierre (1794-1847) -- From Eric Weisstein's World Of Scientif
Engineers. Branch of Science. Mathematicians. Nationality. Belgian. Biography Contributors. Barile. dandelin, germinalPierre (1794-1847) This entry contributed by Margherita Barile Le Colonel germinal-Pierre dandelin." In Sciences Mathématiques et Physiques chez les Belges au commencement du
http://scienceworld.wolfram.com/biography/Dandelin.html
Branch of Science Engineers Branch of Science Mathematicians ... Barile
Dandelin, Germinal-Pierre (1794-1847)

This entry contributed by Margherita Barile Belgian mathematician and engineer who served in the French and Belgian armies. In the Belgian army, he was in charge of building fortifications. He was only 20 years old when he was awarded the by Lazare Carnot , who at that time was Napoleon's Minister of the Interior. In 1816, Dandelin participated in the construction of two telescopes in Namur. He entered the Royal Academy of Brussels in 1822, thanks to a brilliant geometrical work on the parabolic focal curve, where he presented a new elegant proof of a theorem found by his friend Quetelet, which characterized the foci of conic sections with the points of tangency of what are nowadays known as the Dandelin spheres In a curious paper that he published in 1826, Dandelin transferred the same result to the plane sections of a hyperboloid of revolution, where he also re-demonstrated the theorems of Pascal and Brianchon In 1825, the University of Liège assigned him a professorship for a discipline called "exploitation of mines"; the research in this area took him to Germany and England. Later he taught physics at the University of Namur. His fields of interest ranged from projective geometry and algebra to astronomy and mechanics.

6. Photo Credits From Eric Weisstein's World Of Scientific Biography
dandelin, germinalPierre (1794-1847) http//www.bib.ulb.ac.be/coursmath/bio/dandelin.htmDarboux, Gaston (1842-1917) MacTutor Darwin, Charles (1809-1882
http://scienceworld.wolfram.com/biography/photo-credits.html

scienceworld@wolfram.com

Abbe, Ernst (1840-1905)
: MacTutor
Abel, Niels Henrik (1802-1829)
: MacTutor
Adams, John Couch (1819-1892)
: MacTutor
Airy, George (1801-1892)
: MacTutor
Al-Khwarizmi, Muhammed ibn Musa (ca. 780-ca. 850)
: MacTutor
Albertus Magnus (1193-1280)
: MacTutor
: Asimov, I. Biographical Encyclopedia of Science and Technology; the Lives and Achievements of 1510 Great Scientists from Ancient Times to the Present, Chronologically Arranged, rev. ed. New York: NY: Avon, 1976.
Appell, Paul Emile (1855-1930)
: Special functions poster
Appleton, Edward V. (1892-1965)
: Hey, J. S. The Evolution of Radio Astronomy. p. 75 Arago, Dominique (1786-1853) : MacTutor Archimedes of Syracuse (ca. 287-ca. 212 BC) : Asimov, I. Biographical Encyclopedia of Science and Technology; the Lives and Achievements of 1510 Great Scientists from Ancient Times to the Present, Chronologically Arranged, rev. ed. New York: NY: Avon, 1976. Aristotle of Stagira (384-322 BC) : Asimov, I. Biographical Encyclopedia of Science and Technology; the Lives and Achievements of 1510 Great Scientists from Ancient Times to the Present, Chronologically Arranged, rev. ed. New York: NY: Avon, 1976.

7. Dandelin's Spheres (PRIME)
The famous construction of dandelin, from the Platonic Realms Interactive Math Encyclopedia. proof, due to the French/Belgian mathematician germinal dandelin (1794 1847), which shows the equivalence of To show that they are, dandelin peformed an ingenious construction
http://www.mathacademy.com/pr/prime/articles/dandelin/index.asp
BROWSE
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Biography Calculus Comp Sci Discrete Economics Foundations Geometry Graph Thry History Number Thry Physics Statistics Topology Trigonometry lassically, conic sections (the ellipse parabola , and hyperbola ) are defined by the intersection of a plane with a cone 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. In plane geometry, however, an ellipse is the locus of points in the plane, the sum of whose distances from two fixed points, called the foci, remains constant. At first glance it is not obvious that these are definitions of the same mathematical object. To show that they are, Dandelin peformed an ingenious construction. call V Now draw the two tangents to the circle that intersect at V . Then the points of tangency are equidistant from V 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:

8. Biography-center - Letter D
doctor.cfm/515.html; dandelin, germinal wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/dandelin.html;Dandy, Walter Edward www
http://www.biography-center.com/d.html
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9. Monsieur Dandelin
You might also want to preread the English translation of germinal dandelin s Hyperboloidsof Revolution and the Hexagons of Pascal and Brianchon in order
http://www.cs.ubc.ca/~tzupei/Math/
Monsieur Dandelin
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:

10. Dandelin
Biography of germinal P dandelin (17941847) germinal Pierre dandelin. Born 12 April 1794 in Le Bourget, France germinal dandelin's father, who was an administrator, was French but his mother came from Hainaut, now in Belgium
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Dandelin.html
Germinal Pierre Dandelin
Born: 12 April 1794 in Le Bourget, France
Died: 15 Feb 1847 in Brussels, Belgium
Click the picture above
to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
Germinal Dandelin In March 1814 the Treaty of Chaumont united Austria, Russia, Prussia and Britain in the aim of defeating Napoleon. When the allied armies arrived near Paris on 30 March 1814, Dandelin was in the opposing French army and was wounded on that day. Napoleon abdicated on 6 April, but in the following year he returned for the 100 days. During Napoleon's time back in control of France, Dandelin worked at the Ministry of the Interior under the command of Carnot . After Napoleon was defeated at Waterloo, Dandelin returned to Belgium. He became a citizen of the Netherlands in 1817. Dandelin's early mathematical influence was Quetelet , who was two years younger than him, and his early interests were in geometry. Dandelin has an important theorem on the intersection of a cone and its inscribed sphere with a plane, discovered in 1822, named after him. This theorem shows that if a cone is intersected by a plane in a conic , then the foci of the conic are the points where this plane is touched by the spheres inscribed in the cone.

11. Dandelin Portrait
germinal P dandelin. JOC/EFR September 2003 The URL of this page is © Copyrightinformation. http//wwwhistory.mcs.st-andrews.ac.uk/PictDisplay/dandelin.html.
http://www-gap.dcs.st-and.ac.uk/~history/PictDisplay/Dandelin.html
Germinal P Dandelin
JOC/EFR September 2003 The URL of this page is:
http://www-history.mcs.st-andrews.ac.uk/PictDisplay/Dandelin.html

12. List Of People By Name: Da-Dd - Wikipedia, The Free Encyclopedia
18991953), theologian, writer. dandelin, germinal Pierre, (1794-1847), mathematician
http://en.wikipedia.org/wiki/List_of_people_by_name:_Dd
List of people by name: Da-Dd
From Wikipedia, the free encyclopedia.
(Redirected from List of people by name: Dd List of people by name
A
B ... Z Da-Dd De Df-Dh Di Dj-Dn ... Dx-Dz
Table of contents showTocToggle("show","hide") 1 Dab-Daf
2 Dag

3 Dah-Dai

4 Dal
...
edit
Dab-Daf
edit
Dag

13. Xah: Special Plane Curves: Conic Sections
Among the contributors, we may find Newton, dandelin, Gergonne, Poncelet, Brianchon, Dupin, Chasles, and Steiner It is named after its discoverer germinal Pierre dandelin (1822).
http://xahlee.org/SpecialPlaneCurves_dir/ConicSections_dir/conicSections.html
Table of Contents
Conic Sections
Intersections of parallel planes and a double cone,
forming ellipses parabolas , and hyperbolas respectively.
Code for above graphics
Mathematica Notebook for This Page History Description ... Related Web Sites
History
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.
Description
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.

14. List Of People By Name: Da-Dd
the Mast; Danann, De, musician; Danbom, David B, historian; dandelin,germinal Pierre, (17941847), mathematician; Dando, Evan, (born
http://www.fact-index.com/l/li/list_of_people_by_name__da_dd.html
Main Page See live article Alphabetical index
List of people by name: Da-Dd
List of people by name A B C D E F G H ... Z Da-Dd De - Df - Dg - Dh - Di Dj-Dn Do - Dp - Dq - Dr - Ds - Dt - Du Dv Dw - Dx - Dy - Dz Table of contents 1 Da
2 Db

3 Dc

4 Dd
Da

15. References For Dandelin
References for the biography of germinal P dandelin References for germinal P dandelin. Biography in Dictionary of Scientific Biography F Cajori, The dandelinGräffe method, in A history of
http://www-history.mcs.st-and.ac.uk/References/Dandelin.html
References for Germinal P Dandelin
  • Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles:
  • A history of Mathematics (New York, 1938), 364.
  • Amer. Math. Monthly
  • A Quetelet, G P Dandelin, Biographie nationale XIV (Brussels,1873), 663-668.
  • Praxis der Gleichungen (Berlin-Leipzig, 1921), 136-158. Main index Birthplace Maps Biographies Index
    History Topics
    ... Anniversaries for the year
    JOC/EFR February 1997 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/Dandelin.html
  • 16. List Of Mathematicians
    Sweden, 1893 1985). D. Francois d Aguillon (Belgium, 1566 - 1617);germinal Pierre dandelin (France, Belgium, 1794 - 1847); David van
    http://www.fact-index.com/l/li/list_of_mathematicians.html
    Main Page See live article Alphabetical index
    List of mathematicians
    The famous mathematicians are listed below in English alphabetical transliteration order (by surname A B C ... Z
    A
    B

    17. Untitled
    abacus i n. ( pl. href="ref_main.cgi?dandelin 146s Spheres" onMouseOver="changeStatus('JUMP TO dandelin 146S SPHERES 17th century French mathematician germinal dandelin of the equivalence
    http://www.mathacademy.com/platonic_realms/encyclop/main.txt
    n. (pl. abaci)
    A horizontal beam separates the frame into an upper deck and a lower deck Abel n. group in which the group operation is commutative n. ordered pair . Compare: ordinate n. Euclidean geometry without the parallel postulate n. real number x , the absolute value of x , denoted abs( x ) or I x I , is defined by I x I = x if x , and I x x if x . Equivalently, the absolute value of x is the distance between x and on the real number line. If z is a complex number , then I z I denotes the modulus of z , which is the distance between z adj. (Of measures:) Given a measurable space X M and two signed measure s m and n on X , then n is said to be absolutely continuous with respect to m , denoted by
    if for any E in M such that m E we have n E (Of functions:) If f is a function with domain the set of real number s and range the set of complex number s, then f is absolutely continuous if for any positive e there is some d greater than zero such that for any finite set of disjoint interval s we have:
    It is a theorem that f is absolutely continuous if and only if its derivative is integrable and the fundamental theorem of calculus holds for f n.

    18. List Of Mathematical Topics - Encyclopedia Article About List Of Mathematical To
    d Aguillon, Francois d Alembert, Jean le Rond D Alembertian operator dandelin,germinal Pierre dandelin spheres Danielson, GC Dantzig, David
    http://encyclopedia.thefreedictionary.com/List of mathematical topics
    Dictionaries: General Computing Medical Legal Encyclopedia
    List of mathematical topics
    Word: Word Starts with Ends with Definition These list of mathematical topics pages collect pointers to all Encyclopedia articles related to mathematics Mathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of 'figures and numbers'. In the formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation; other views are described in Philosophy of mathematics. Mathematics might be seen as a simple extension of spoken and written languages, with an extremely precisely defined vocabulary and grammar, for the purpose of describing and exploring physical and conceptual relationships.
    Click the link for more information. . Everything remotely connected to mathematics should be listed here. See for example list of mathematicians The famous mathematicians are listed below in English alphabetical transliteration order (by surname).
    A
    • Abu'l-Wafa (Iran, 940 - 998)

    19. Dandelin
    Translate this page Zurück zur Übersicht Biografien. dandelin, germinal Pierre, belgischerMathematiker * 12. 4. 1794 Le Bourget, † 15. 2. 1847 Ixelles.
    http://www.studienseminare-duesseldorf.nrw.de/sekundI/Seminare/Mathe/Kaleidoskop
    Zurück zur Übersicht Biografien Dandelin , Germinal Pierre, belgischer Mathematiker
    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.

    20. Editing Germinal Pierre Dandelin - Edit - Wikipedia, The Free Encyclopedia
    WikipediaRequested articles/Mathematical and Natural Sciences Ronald Coifman WN Colquitt - Edward Condon - James Cooley - Nicolas Courtois- J. Cullen - AJC Cunningham - D germinal Pierre dandelin - GC Danielson
    http://en.wikipedia.org/w/wiki.phtml?title=Germinal_Pierre_Dandelin&action=edit

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