b+c-a/y+z-x = c+a-b/z+x-y = a+b-c/x+y-z prove that each ratio is equal to a/x=b/y=c/z
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b+c-a/y+z-x=c+a-b/z+x-y=a+b-c/x+y-z
=(b/y+z-x)+(c/y+z-x)-(a/y+z-x)=(c/z+x-y)+(a/z+x-y)-(b/z+x-y)=(a/x+y-z)+(b/x+y-z)-(c/x+y-z)
=a/x=b/y=c/z(proved)
=(b/y+z-x)+(c/y+z-x)-(a/y+z-x)=(c/z+x-y)+(a/z+x-y)-(b/z+x-y)=(a/x+y-z)+(b/x+y-z)-(c/x+y-z)
=a/x=b/y=c/z(proved)
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