円内接多角形の外接円半径公式の計算と解析 (Computer Algebra : Theory and its Applications)

機関リポジトリ (HANDLE) Web Site オープンアクセス

書誌事項

タイトル別名
  • Computation and Analysis of Explicit Formulae for the Circumradius of Cyclic Polygons : Extended Abstract (Computer Algebra : Theory and its Applications)
  • 円内接多角形の外接円半径公式の計算と解析
  • エン ナイセツ タカッケイ ノ ガイセツエン ハンケイ コウシキ ノ ケイサン ト カイセキ

この論文をさがす

説明

This paper describes computations of the circumiadius of cyclic polygons given by the lengths of the sides. Extending the author's previous paper in 2011, we mainly discuss the computation and analysis of the formulae for cyclic heptagons and octagons. As a result, we have found a more efficient method for computing the circumradius of cyclic heptagons than before. We have also succeeded in computing 25 out of 39 coefficients in the circumradius formula for cyclic octagons. Moreover, investigating the formulae by the total degree of each term, from triangles to octagons, we have discovered a characteristic structure in common among them, which should be helpful for computing the other huge coefficients remaining in the octagon formula.

収録刊行物

詳細情報 詳細情報について

問題の指摘

ページトップへ