■ABCからDEへ(その51)
D5,ρについて
P0(0,0,0,0,0)
P1(1,0,0,0,0)
P2(1,1/√3,0,0,0)
P3(1,1/√3,1/√6,0,0)
P4(1,1/√3,1/√6,1/√10,0)
P5(1,1/√3,1/√6,1/√10,3/√10)
cosθ=6/{3+6}^1/2{6+10}^1/2=1/2***
cosθ=10/{6+10}^1/2{10+10/9}^1/2=10/4・3/10=3/4***
cosθ=√10/3/{10+10/9}^1/2=√10/3・√9/100=1/√10
σについて
P0(0,0,0,0,0)
P1(1,0,0,0,0)
P2(1,1/√3,0,0,0)
P3(1,1/√3,1/√6,0,0)
P4(1,1/√3,1/√6,1/√2,0)
P5(1,1/√3,1/√6,1/√2,1/√2)→E5に一致
cosθ=6/{3+6}^1/2{6+10}^1/2=1/2***
cosθ=6/{3+6}^1/2{6+2}^1/2=1/√2***
cosθ=2/{6+2}^1/2{2+2}^1/2=1/2√2***
cosθ=√2/{2+2}^1/2=1/√2
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(その39)(その40)に一致
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