忍者ブログ
  • 2017.09
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 2017.11
内心ベクトル
内心ベクトル をmathで書いてみた。

内心の算出 三角形ABCをベクトル x , y , z とする 内心 = z + zx + zx zx + zy xy × zx zx + xy × zx zx + zy = z + zy zx + zx zy zx + zy × zx + zy zx + zy + xy = z + zy zx + zx zy zx + zy + xy = z + zy ( x z ) + zx ( y z ) zx + zy + xy = xy z + zy x + zx y zx + zy + xy "内心の算出" newline "三角形ABCをベクトル" vec{x},vec{y},vec{z} "とする" newline widevec{"内心"}=vec{z}+left({widevec{zx}}+abs{widevec{zx}}over{{abs{widevec{zx}}}+abs{widevec{zy}}}widevec{xy} right) times {{abs{widevec{zx}}}over{{abs{widevec{zx}}}+{abs{widevec{xy}}}times{abs{widevec{zx}}over{{abs{widevec{zx}}}+abs{widevec{zy}}}}}} newline {}={vec{z}}+{{abs{widevec{zy}}}widevec{zx} + {abs{widevec{zx}}}widevec{zy}}over{{abs{widevec{zx}}}+{abs{widevec{zy}}}} times {{abs{widevec{zx}}+{abs{widevec{zy}}}}over{{abs{widevec{zx}}}+{abs{widevec{zy}}}+{abs{widevec{xy}}}}} newline {}={vec{z}}+{{abs{widevec{zy}}}widevec{zx} + {abs{widevec{zx}}}widevec{zy}}over{{abs{widevec{zx}}}+{abs{widevec{zy}}}+{abs{widevec{xy}}}} newline {}={vec{z}}+{{abs{widevec{zy}}}(vec{x}-vec{z}) + {abs{widevec{zx}}}(vec{y}-vec{z})}over{{abs{widevec{zx}}}+{abs{widevec{zy}}}+{abs{widevec{xy}}}} newline {}={{abs{widevec{xy}}}{vec{z}}+{abs{widevec{zy}}}vec{x} + {abs{widevec{zx}}}vec{y}}over{{abs{widevec{zx}}}+{abs{widevec{zy}}}+{abs{widevec{xy}}}}
PR
【2013/01/29 20:22 】 | 論理 | 有り難いご意見(0)
                                    
<<A1形式の列文字列を列に変換 | ホーム | 内分定義>>
有り難いご意見
貴重なご意見の投稿














<<前ページ | ホーム | 次ページ>>