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Forum Geometricorum

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  • Paul Yiu
    Dear fellow geometrophiles, This message is a preliminary announcement of a new electronic journal devoted to classical euclidean geometry and related areas.
    Message 1 of 476 , Jun 12, 2000
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      Dear fellow geometrophiles,

      This message is a preliminary announcement of
      a new electronic journal devoted to classical
      euclidean geometry and related areas.
      The tentative title is FORUM GEOMETRICORUM.
      The publication of this journal is sponsored
      by Florida Atlantic University, and is free to
      readers in the internet community. This is an
      electronic journal only in the sense that
      papers are published in pdf and a few other
      downloadable formats, and that communications
      between authors and editors are expedited by
      emails as much as possible. Papers submitted
      for publication are refereed. The first papers
      are expected to be published in early 2001.
      Papers published in each calendar year will be
      collected into a volume, and issued in the form
      of a CD, along with supplementary materials.
      Depending on the success of the journal,
      arrangement for paper editions shall be made.

      FORUM GEOMETRICORUM is intended to be a meeting
      place of things geometrical, interesting to
      professional mathematicians and amateurs alike.
      As editor in chief, I invite you to submit papers
      to us. I hope the journal will turn out to be
      a forum you will most enjoy. Its success, however,
      truly depends on your support, as authors and
      readers.

      I am appending a tentative statement of purpose
      of the journal, and a list of mathematicians
      who have agreed to serve as advisors and editors.
      If you want to know more about this venture, or
      want to offer more help, please feel free to
      contact me.

      Best regards.
      Sincerely,
      Paul Yiu

      Department of Mathematical Sciences
      Florida Atlantic University
      Boca Raton, Florida, 33431-0991
      USA

      email:yiu@...
      ----------------------------

      Statement of Purpose

      FORUM GEOMETRICORUM, an electronic journal of
      classical euclidean geometry and related areas,
      is intended to bring to a wide, international
      readership the beauty, elegance, and usefulness
      of Elementary Geometry, in research and in teaching.
      Papers shall be published in English only.
      FG shall focus on concrete but challenging problems
      of euclidean geometry and related areas, that can
      be conducted by mathematicians, professional and
      amateur alike. Papers will also feature the long
      and interesting history of the subject. We shall
      also strive to incorporate beautiful illustrations
      made possible by contemporary technology. In this
      way, the editors of FG intend to influence in a
      profoundly positive way the instructions of
      geometry, and mathematics in general, up to the
      college level. We sincerely hope that participation
      in this forum, as editors, authors, and readers,
      will make teachers better scholars, and scholars
      better teachers.


      FORUM GEOMETRICORUM covers the following areas listed
      in the Mathematics Subject Classification 2000:

      Primary: 51Mxx, 51Nxx, 51Axx, 51-02,03,04.

      Secondary: 11D04,09,25,41,99; 15-XX; 01-XX.

      It shall comprise of the following departments.

      (1) MAIN ARTICLES on themes and problems in
      elementary geometry and related areas, historical
      or pedagogical. Articles should be mainly
      mathematical and discussions on pedagogical
      issues should be tangential but constructive.

      (2) SHORT NOTES on interesting problems and new
      insights on old theorems. The quality of the short
      notes should be comparable to the Notes in the
      American Mathematical Monthly.

      (3) GEOMETRIC CONSTRUCTIONS on the use of dynamic
      softwares on ruler and compass constructions.

      (4) LETTERS to the EDITORS welcomes constructive
      criticisms on papers published in FG, especially
      relevant bibliographical (and biographical)
      informations that escape the attentions of authors,
      referees, and editors.

      (5) SUPPLEMENTS in yearly CD-editions consisting
      of computer programs, and/or longer instructional
      monographs.

      ---------------------
      ---------------------
      The decisions of several mathematicians pending,
      the following have kindly agreed to serve as
      advisors and editors.


      ADVISORS

      Julio Gonzalez Cabillon, Montevideo, Uruguay
      Richard Guy, Calgary, Alberta, Canada
      Clark Kimberling, Evansville, Indiana, USA
      Kee Yuen Lam, Vancouver, British Columbia, Canada
      Tsit Yuen Lam, Berkeley, California, USA
      Frederick Richman, Boca Raton, Florida, USA

      EDITOR-IN-CHIEF
      Paul Yiu, Boca Raton, Florida, USA

      EDITORS

      Clayton Dodge, Orono, Maine, USA
      Roland Eddy, St. John's, Newfoundland, Canada
      Jean-Pierre Ehrmann, Paris, France
      Lawrence Evans, La Grange, Illinois, USA
      Rudolf Fritsch, Munich, Germany
      Bernard Gibert, St Etiene, France
      Antreas P. Hatzipolakis, Athens, Greece
      Michael Lambrou, Crete, Greece
      Floor van Lamoen, Goes, Netherlands
      Daniel B. Shapiro, Columbus, Ohio, USA
      Man Keung Siu, Hong Kong, China
      Peter Woo, La Miranda, California, USA
      Peter Yff, Oak Lawn, Illinois, USA

      TECHNICAL EDITORS

      Yuandan Lin, Boca Raton, Florida, USA
      Aaron Meyerowitz, Boca Raton, Florida, USA
      Xiaodong Zhang, Boca Raton, Florida, USA

      CONSULTANTS

      Frederick Hoffman, Boca Raton, Florida, USA
      Stephen Locke, Boca Raton, Florida, USA
      Heinrich Niederhausen, Boca Raton, Florida, USA
    • forumgeom forumgeom
      The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2013volume13/FG201309ndex.html The editors Forum
      Message 476 of 476 , Apr 16, 2013
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        The following paper has been published in Forum Geometricorum. It can be viewed at

        http://forumgeom.fau.edu/FG2013volume13/FG201309ndex.html

        The editors
        Forum Geometricorum

        Paul Yiu, On the conic through the intercepts of the three lines through the centroid and the intercepts of a given line,
        Forum Geometricorum, 13 (2013) 87--102.

        Abstract. Let L be a line intersecting the sidelines of triangle ABC at X, Y, Z respectively. The lines joining these intercepts to the centroid give rise to six more intercepts on the sidelines which lie on a conic Q(L,G). We show that this conic (i) degenerates in a pair of lines if L is tangent to the Steiner inellipse, (ii) is a parabola if L is tangent to the ellipse containing the trisection points of the sides, (iii) is a rectangular hyperbola if L is tangent to a circle C_G with center G. We give a ruler and compass construction of the circle C_G. Finally, we also construct the two lines each with the property that the conic Q(L,G) is a circle.


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