■等面単体の体積(その398)
(その387)は,さらに
3m^2+h^2=16h^2=4
3m^2+9h^2=4m^2+4h^2=6
も満たさなければならない.
h^2=1/4,m^2=5/4
はそれらを満たす.
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(その384)(その395)は,正三角形の場合であり,
P0(0,0,0,0)
P1(0,0,0,3h)
P2(m,m√3,0,h)
P3(2m,0,0,2h)
とおくと
P0P1^2=9h^2
P0P2^2=4m^2+h^2
P0P3^2=4m^2+4h^2
P1P2^2=4m^2+4h^2
P1P3^2=4m^2+h^2
P2P3^2=4m^2+h^2
4m^2+h^2=4
4m^2+4h^2=9h^2=6
も満たさなければならない.
h^2=4/6,m^2=5/6
はそれらを満たす.
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