81. Steiner's Theorem steiner s Theorem. by. June Jones. steiner s Theorem, named for jakob steiner (1796 1863), is included in most high school geometry books but rarely by name. http://jwilson.coe.uga.edu/EMT669/Student.Folders/Jones.June/steiner/steinerthm.

Steiner's Theorem by June Jones Steiner's Theorem, named for Jakob Steiner (1796 - 1863), is included in most high school geometry books but rarely by name. It is often the second in a series of three theorems in a section within the circle chapter. This essay will "start in the middle" and show, with the aid of Geometer's Sketchpad, how the three theorems are related. To get the basic figure: 1.) Draw a circle. 2.) Pick a point, P, outside the circle. 3.) Construct any two secants to the circle through P. Mark the intersections with the circle: A, B, C, and D. Now, we need to find the relationship represented. The most logical suspicion would be something involving ratios or products. At this point, the reader may click on stcircle , or whatever is available, to look for the relationship. After trying a number of combinations, we discover that This of course is the same as (PA)(PB) = (PC)(PD), which is the usual statement of this theorem: i.e. "If two secants intersect in the exterior of a circle, then the product of the length of one secant segment and its external secant segment equal the product of the length of the other secant segment and its external secant segment." Depending of the experience and level of the reader, it might be sufficient to just see that the previous proportion works for a number of examples. However, to some it may be important to provide a formal proof. For that reason, the following is provided:

82. Ulanow Jewish Notary Index, Sp-Z Translate this page steiner, jakob, Jarema, 2402, 15, 1888, -. steiner, jakob, Jarema, 3459, 21,1891, -. steiner, Leib, Kosinski, 4140, 17, 1903, Financial. steiner, Sara,Jarema, 567, 4, 1882, -. http://www.shtetlinks.jewishgen.org/ulanow/notaryindex_Sp-Z.html

LAST NAME FIRST NAME NAME OF NOTARY NOTARY ACT SIGN. YEAR ADDITIONAL INFORMATION Spier Izak Jendl Spigel Naftali Jarema Spir Izaak Jendl Spira Abraham Dzieciolowski Property Spira Beniamin Juszczyk Property Spira Dow Izak Jarema Spira Dow Izak Jarema Spira Feiwel Jendl Spira Feiwel Jarema Spira Feiwel Jarema Spira Hena Kosinski Spira Hencia Jarema Spira Hersch Leib Jendl Wedding Dowry Spira Hersch Leib Juszczyk Property Spira Hersz Leib Jarema Spira Izaak Jarema Spira Izaak Jendl Financial Spira Izaak Jendl Financial Spira Izaak Jarema Spira Izaak Jarema Spira Izaak Jarema Spira Izaak Jarema Spira Izaak Jarema Spira Izaak Jarema Spira Izaak Jarema Spira Izaak Jarema Spira Izaak Dzieciolowski Financial Spira Izaak Jarema Spira Izaak Kosinski Spira Izaak Jarema Spira Juda Kosinski Spira Markus Dzieciolowski Property Spira Mordko Jendl Wedding Dowry Spira Mordko Kosinski Spira Mortka Jendl Spira Mortke Jarema Spira Ryfka Kosinski Spira Samuel Jarema Spira Samuel Kosinski Financial Spira Samuel Jarema Spira Samuel Kosinski Spira Samuel Kosinski Spira Schachner Jendl Spira Sussel Jarema Spira Sussel Jarema Spira Sussel Jarema Spira Tolcza Kosinski Financial Spiro Aron Jarema Stein Jakob Jarema Steiner Abraham Juszczyk Financial Steiner Abraham Dzieciolowski Property Steiner Abraham Dzieciolowski Property Steiner Etel Jarema Steiner Izrael Juszczyk Purchase-sale Steiner Izrael Hillel Juszczyk Property Steiner Jakob Jarema Steiner Jakob Jarema Steiner Leib Kosinski Financial Steiner Sara Jarema Steiner Sina Leib Kosinski Property Steiner Sinaa Jarema Steinfeld Efroim Jarema Steinfeld Feiga Kosinski Steinfeld Pinkas Jarema Steinfeld Pinkas Dzieciolowski Steinfeld Pinkas Dzieciolowski Steinfeld Pinkas

83. Weinzierl - Pafg03 - Erstellt Mit Personal Ancestral File Translate this page jakob Weinzierl Eltern heiratete Therese steiner 1877. Weitere EheschließungenSpießl, Frzs. Therese steiner Eltern heiratete jakob Weinzierl 1877. http://home.t-online.de/home/juttaandreas.weinzierl/weinzierl/pafg03.htm

Selected Families and Individuals Peter Schaller heiratete Anna Maria Mauerer. Anna Maria Mauerer wurde in Lederhof geboren. Sie heiratete Peter Schaller. Sie hatten die folgenden Kinder: F i Anna Maria Schaller Jakob Heuschneider heiratete Walburga Weinzierl 1835. Walburga Weinzierl [ Eltern wurde 1802 geboren. Sie heiratete Jakob Heuschneider 1835. Josef Piendl heiratete Katharina Weinzierl 1815. Katharina Weinzierl [ Eltern wurde 1792 geboren. Sie heiratete Josef Piendl 1815. Valentin Weinzierl [ Eltern heiratete Therese Piendl 1874. Therese Piendl [ Eltern wurde in Höhenberg geboren. Sie heiratete Valentin Weinzierl 1874. Sie hatten die folgenden Kinder: M i Jakob Weinzierl Jakob Piendl heiratete Anna Engelb.. Anna Engelb. heiratete Jakob Piendl. Sie hatten die folgenden Kinder: F i Therese Piendl Jakob Weinzierl [ Eltern heiratete Maria Pangerl 1905. Maria Pangerl [ Eltern heiratete Jakob Weinzierl 1905. Josef Pangerl heiratete Anna Schaller. Anna Schaller wurde in Pielhof geboren. Sie heiratete Josef Pangerl. Sie hatten die folgenden Kinder: F i Maria Pangerl Jakob Weinzierl [ Eltern heiratete Therese Steiner 1877.

84. Dozenten Der Mathematik Der Humboldt-Universität Translate this page 11.5.1832 für Mathematik, ausgesch. 7.11.1833 Halle *16.7.1801 Elberfeld,+22.5.1868 Bonn LSDronke, J.Plücker. 1871. steiner, jakob ao.Prof. http://www-pool.mathematik.hu-berlin.de/~mrw/Dozenten/

Mathematik Burja, Abel *30.8.1752 Kiekebusch b. Berlin, +16.2.1816 Berlin L.:ADB 3,620 S.:Poggendorff 1 Eytelwein, Johann Albert *21.12.1764 Frankfurt a.M., +18.8.1848 Berlin L.:ADB 6, 464. 48, 462 S.:Koner 84; Poggendorff 1 Fischer, Ernst Gottfried *17.7.1754 Hoheneiche b.Saalfeld, +27.1.1831 Berlin L.:ADB 7,62 S.:Poggendorff 1 Grueson, Johann Philipp *2.2.1768 Neustadt-Magdeburg, +16.11.1857 Berlin L.:ADB 10,65 S.:Poggendorff 1 Tralles, Johann Georg *15.10.1763 Hamburg, +19.11.1822 London L.:ADB 38, 494 S.:Poggendorff 2 Lehmus, Daniel Christian Ludolf *3.7.1780 Soest, +18.1.1863 Berlin L.: ADB 18,147 S.:Poggendorff 1 Lubbe, Samuel Ferdinand L.:ADB 19,322 S.:Poggendorff 1 Dirksen, Enno Heeren *3.1.1792 Hamswerum (Ostfriesland), +16.7.1850 Paris L.:ADB 5,252 S.:Poggendorff 1 Ohm, Martin *6.5.1792 Erlangen, +1.4.1872 Berlin L.:ADB 24,203 S.:Koner 258; Gelehrtes Berlin 190 Jacobi, Karl Gustav Jacob *10.12.1804 Potsdam, +18.2.1851 Berlin Schneider, Friedrich Wilhelm *12.2.1801 im Forsthaus zu Rothensee bei Magdeburg, +4.11.1879 Eberswalde S.: Die Forstakademie Eberswalde 48

85. Jakob Steiner PDF 48810 Frontmatter http://www.worldhistory.com/wiki/J/Jakob-Steiner.htm

World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Jakob Steiner Jakob Steiner 18 March April 1 ) was a Swiss mathematician. He was born in the village of Utzendorf, Canton of Bern . At eighteen he became a pupil of Heinrich Pestalozzi, and afterwards studied at Heidelberg . Thence he went to Berlin, earning a livelihood there, as in Heidelberg, by giving private lessons. Here he became acquainted with A. L. Crelle, who, encouraged by his ability and by that of N. H. Abel, then also staying at Berlin, founded his famous Journal (1826). After Steiner's publication (1832) of his Systematische Entwickelungen Wilhelm von Humboldt a new chair of geometry was founded for him at Berlin (1834). This he occupied till his death, which took place in Bern on the 1st of April Steiner's mathematical work was confined to geometry . This he treated synthetically, to the total exclusion of analysis, which he hated, and he is said to have considered it a disgrace to synthetical geometry if equal or higher results were obtained by analytical methods. In his own field he surpassed all his contemporaries. His investigations are distinguished by their great generality, by the fertility of his resources, and by such a rigour in his proofs that he has been considered the greatest geometrical genius since the time of Apollonius In his Systemalische Entwickelung der Abhundgigkeit geometrischer Gestalten von einander he laid the foundation of modern synthetic geometry . He introduces what are now called the geometrical forms (the row, flat pencil etc), and establishes between their elements a one-one correspondence, or, as he calls it, makes them

86. Steiner, Rudolf encyclopediaEncyclopedia steiner, Rudolf, rOO dôlf shtIn ur Pronunciation Key. Relatedcontent from HighBeam Research on steiner, Rudolf. The art of the line. http://www.infoplease.com/ce6/society/A0846625.html

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips Encyclopedia Steiner, Rudolf [r OO I u r] Pronunciation Key Steiner, Rudolf , German occultist and social philosopher. He was a leader in the founding of the German Theosophic Association (see theosophy ). In time he abandoned theosophy and developed a distinctive philosophy which he called anthroposophy; this philosophy attempts to explain the world in terms of man's spiritual nature, or thinking independent of the senses. Translations of his works include Investigations in Occultism (1920) and Philosophy of Spiritual Activity (1922). He also wrote many works on Goethe. See his autobiography (rev. tr. 1951, repr. 1970). The Columbia Electronic Encyclopedia, Steiner, Jakob Stein, Gertrude Related content from HighBeam Research on: Steiner, Rudolf

87. STEINER POINT steiner POINT. The steiner point of a triangle ABC is constructed as followsFirst, let O be the circumcenter and K the symmedian point of ABC. http://faculty.evansville.edu/ck6/tcenters/class/steiner.html

STEINER POINT The Steiner point of a triangle ABC is constructed as follows: First, let O be the circumcenter and K the symmedian point of ABC. The circle having segment OK as diameter is the Brocard circle . The line through O perpendicular to line BC passes through the Brocard circle in another point, a; similarly, obtain points b and c. The triangle abc is the 1st Brocard triangle. Now, construct the line through A parallel to line bc, the line through B parallel to line ca, and the line through C parallel to line ab. These three lines concur in the Steiner point, S. Steiner described this point in a different way in 1826. Forty years later, in J. Neuberg, "Sur le point de Steiner," 1886, p. 29, the point was constructed as described here and was given Steiner's name. Steiner also first described the ellipse passing through the vertices A, B, C and having the centroid of triangle ABC as its center. This Steiner ellipse is the ellipse of least area that passes through these points. It has in common with the circumcircle of ABC not only the points A, B, C but also the Steiner point. Homogeneous trilinear for the Steiner point are bc/(b^2 - c^2) : ca/(c^2 - a^2) : ab/(a^2 - b^2)

88. Dict Système Ternaire De Steiner http://www.recreomath.qc.ca/dict_steiner_syteme_ternaire.htm

Page d'accueil Banque de problèmes récréatifs Défis Détente ... Contactez-nous Dictionnaire de mathématiques récréatives Steiner Jakob 1796-1863 Système ternaire de Steiner. Arrangement d'un certain nombre d'objets en triplets de telle manière que toute paire d'objets apparaît exactement dans un seul triplet. Par exemple, sept jetons numérotés de 1 à 7 peuvent être disposés en sept triplets pour que chaque paire de jetons apparaisse dans un seul triplet. Voici les sept triplets : Même si les jetons sont mis à la place les uns des autres, la solution demeure unique. Cette notion mathématique est principalement appliquée dans les récréations combinatoires © Charles-É. Jean, 1996-2001. Tous droits réservés. Index : S

89. Genealogie Der Familie Rüegg-Bigler - Personenangaben 4 jakob Fischer * 1. Januar 1763, + 4. Juni http://mypage.bluewin.ch/Ruegg/p4.htm

Genealogie der Familie Rüegg-Bigler Personenangaben 4 Startseite Gesamt-Index Nachnamen-Index Front Page ... Nächste Seite Elisabeth Fischer f Geburt* Meisterschwanden  Heirat* 25. Februar 1848, Seengen, Groom= Heinrich Fischer Familie Heinrich Fischer * 31. Januar 1824, + 13. Juni 1892 Elisabetha Fischer f, * 8. Oktober 1834, + 14. Oktober 1901 Vater Kaspar Fischer Mutter Susanna Lanz Ahnentafel Geburt* 8. Oktober 1834, Dietikon  Heirat* Johannes Lips Tod* 14. Oktober 1901, Dietikon, Survivor= Johannes Lips Familie Johannes Lips * 17. Juni 1839, + 6. September 1906 Kinder Johannes Lips Barbara Lips * 21. August 1871 Emil Lips * 18. September 1873, + 8. Juli 1963 Emil Fischer m, * 10. August 1875 Vater Daniel Fischer Mutter Regina Fischer * 26. November 1846, + 3. Juni 1903 Ahnentafel Geburt* Name-Ruf Kabelis , Der Name "Kabelis" bezieht sich wahrscheinlich auf die Abstammung von Caspar Fischer  Heirat* Rosina Eichenberger Tod* Dietikon  Familie Rosina Eichenberger * 19. Dezember 1881 Kinder Albert Fischer * 28. Dezember 1905, + 8. Februar 1997 Klara Fischer * 30. Oktober 1909, + circa 1964 Paul Emil Fischer * 10. Januar 1920, + 17. April 1938

90. Steiner, Rudolf encyclopediaEncyclopedia steiner, Rudolf, rOO dôlf shtIn ur PronunciationKey. steiner, Rudolf , 1861–1925, German occultist and social philosopher. http://www.factmonster.com/ce6/society/A0846625.html

Encyclopedia Steiner, Rudolf [r OO I u r] Pronunciation Key Steiner, Rudolf , German occultist and social philosopher. He was a leader in the founding of the German Theosophic Association (see theosophy ). In time he abandoned theosophy and developed a distinctive philosophy which he called anthroposophy; this philosophy attempts to explain the world in terms of man's spiritual nature, or thinking independent of the senses. Translations of his works include Investigations in Occultism (1920) and Philosophy of Spiritual Activity (1922). He also wrote many works on Goethe. See his autobiography (rev. tr. 1951, repr. 1970). The Columbia Electronic Encyclopedia, Steiner, Jakob Stein, Gertrude Print this page Cite this page AD AD AD ADS Link to Fact Monster Add Fact Monster search to your site ... Privacy Brought to you by:

91. University Of Michigan Historical Math Collection Rote Fahne News 02.01.04 - Waldorf Schulen - ein raffiniert - Translate this page Die Waldorf-Schulen unterrichten nach dem Konzept der Anthroposophie von RudolfSteiner. Frau jakob berichtet weiter Die Anthroposophie enthält eine eigene http://www.hti.umich.edu/cgi/t/text/text-idx?c=umhistmath;idno=ABN3237

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