• RecordNumber
    88
  • Author

    Clark Kimberling

  • Title of Article

    Functional equations associated with triangle geometry

  • Title Of Journal
    Aequationes Mathematicae
  • PublishInfo
    Springer
  • Publication Year
    1993
  • Volum
    45
  • Issue Number
    2-3
  • Page
    127-152
  • Notes
    براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
  • Subject

    Mathematics and Statistics

  • Abstract
    Triangle geometry is treated in the context of functional equations of three variablesa, b, c which may be regarded as the sidelengths of a variable triangle. Trianglecenters (e.g., incenter, circumcenter, centroid), andcentral lines (e.g., the Euler line) are defined and partitioned into classes:0-centers, 1-centers, 2-centers and0-lines, 1-lines, and 2-lines. Criteria for parallelism, perpendicularity, and other geometric relations are proved in terms of these classes. The Euler line and central lines parallel or perpendicular to the Euler line serve as examples.
  • URL
    www.springerlink.com/index/K87P3387H8N331QU.pdf,/DL/Data Entry/DataEntryForm/EnterDocInfo.aspx,/DL/Data Entry/NewEdit/Documents/Math_English_Electronic_Articles_EditDoc_925.aspx
    • Link To Document
    https://math.iranlibs.ir/dl/search/default.aspx?Term=88&Field=0&DTC=14