Journal of Graphic Science of Japan
Online ISSN : 1884-6106
Print ISSN : 0387-5512
ISSN-L : 0387-5512
Generation of a Triangle from Lengths of its Angle-Bisectors
Case of Equilateral Triangle
Hozumi KAGAWAKinichi ISHIIHiroshi MAKI
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JOURNAL FREE ACCESS

2000 Volume 34 Issue 2 Pages 19-25

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Abstract
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.
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© Japan Society for Graphic Science
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