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K = a 2 + b 2 + c 2 2 {\displaystyle K={\frac {\ a^{2}+b^{2}+c^{2}}{2}}}
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x = K − c 2 y = K − b 2 z = K − a 2 {\displaystyle x={\sqrt {K-c^{2}\ }}\qquad y={\sqrt {K-b^{2}\ }}\qquad z={\sqrt {K-a^{2}\ }}}
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K = x 2 + y 2 + z 2 {\displaystyle K=x^{2}+y^{2}+z^{2}}
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c = K − x 2 b = K − y 2 a = K − z 2 {\displaystyle c={\sqrt {K-x^{2}\ }}\qquad b={\sqrt {K-y^{2}\ }}\qquad a={\sqrt {K-z^{2}\ }}}
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K = a 2 + z 2 K = b 2 + y 2 K = c 2 + x 2 {\displaystyle K=a^{2}+z^{2}\qquad K=b^{2}+y^{2}\qquad K=c^{2}+x^{2}}
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K = ( a 2 + b 2 + c 2 2 ) = ( x 2 + y 2 + z 2 ) = ( a 2 + z 2 ) = ( b 2 + y 2 ) = ( c 2 + x 2 ) {\displaystyle K={\biggl (}{\frac {\ a^{2}+b^{2}+c^{2}}{2}}{\biggr )}={\Bigl (}x^{2}+y^{2}+z^{2}{\Bigr )}={\Bigl (}a^{2}+z^{2}{\Bigr )}={\Bigl (}b^{2}+y^{2}{\Bigr )}={\Bigl (}c^{2}+x^{2}{\Bigr )}}
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c = K − x 2 b = K − y 2 a = K − z 2 {\displaystyle c={\sqrt {K-x^{2}\ }}\qquad b={\sqrt {K-y^{2}\ }}\qquad a={\sqrt {K-z^{2}\ }}}
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{\displaystyle K={\frac {\ a^{2}+b^{2}+c^{2}}{2}}}
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{\displaystyle x={\sqrt {K-c^{2}\ }}\qquad y={\sqrt {K-b^{2}\ }}\qquad z={\sqrt {K-a^{2}\ }}}
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{\displaystyle K=x^{2}+y^{2}+z^{2}}
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{\displaystyle c={\sqrt {K-x^{2}\ }}\qquad b={\sqrt {K-y^{2}\ }}\qquad a={\sqrt {K-z^{2}\ }}}
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{\displaystyle K=a^{2}+z^{2}\qquad K=b^{2}+y^{2}\qquad K=c^{2}+x^{2}}
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{\displaystyle K={\biggl (}{\frac {\ a^{2}+b^{2}+c^{2}}{2}}{\biggr )}={\Bigl (}x^{2}+y^{2}+z^{2}{\Bigr )}={\Bigl (}a^{2}+z^{2}{\Bigr )}={\Bigl (}b^{2}+y^{2}{\Bigr )}={\Bigl (}c^{2}+x^{2}{\Bigr )}}
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{\displaystyle c={\sqrt {K-x^{2}\ }}\qquad b={\sqrt {K-y^{2}\ }}\qquad a={\sqrt {K-z^{2}\ }}}
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