三角形の内角二等分線長さから原形を求める近似作図法

書誌事項

タイトル別名
  • Generation of a Triangle from Lengths of its Angle-Bisectors
  • 3カクケイ ノ ナイカク 2トウブンセン ナガサ カラ ゲンケイ オ モトメル キンジ サクズホウ セイ3カクケイ ノ バアイ
  • Case of Equilateral Triangle
  • 正三角形の場合

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説明

CAD faculties were used for the generation of triangles from their three angle-bisectors, with their lengths only given. At this time we account for its theoretical basis, attempts of example drawing in point and measurement on accuracy of those solutions. Relatedly, a new method is introduced for executing on the CAD screen the arithmetic four rules used in the current geometric construction. And, as to any side and angle-bisector of an isosceles triangle, an approximately relationship between both their lengths is provided in equation form. The accuracy in the present onscreen drawing solution has proved to be within 0.04 and 0.4% respectively in constructing isosceles triangles and in using the above equation. How to improve such accuracy and extendedly apply our system to scalene triangles are left for further consideration.

収録刊行物

  • 図学研究

    図学研究 34 (2), 19-25, 2000

    JAPAN SOCIETY FOR GRAPHIC SCIENCE

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