■葉序らせん(その111)
H(√6/9,2√3/9,1/6)
I(0,√3/6,0)
J(5√6/27,11√3/54,4/9)
HI,HJは同一直線上にあるだろうか.
HI:(x−√6/9)/(0−√6/9)=(y−2√3/9)/(√3/6−2√3/9)=(z−1/6)/(0−1/6)
(x−√6/9)/(−√6/9)=(y−2√3/9)/(−√3/18)=(z−1/6)/(−1/6)
Jを代入
(5√6/27−√6/9)/(−√6/9)=−2/3
(11√3/54−2√3/9)/(−√3/18)=−1/3
(4/9−1/6)/(−1/6)=5/3
===================================
[まとめ]直線ではなくらせんを描くと思われる.
===================================