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Mar 15, 2015 at 21:58 vote accept Jacob Bond
Mar 13, 2015 at 22:03 history edited bbgodfrey CC BY-SA 3.0
revised and combined addenda
Mar 13, 2015 at 21:25 history edited bbgodfrey CC BY-SA 3.0
concluding note
Mar 13, 2015 at 21:00 history edited bbgodfrey CC BY-SA 3.0
second addendum
Mar 13, 2015 at 20:05 history edited bbgodfrey CC BY-SA 3.0
added addendum
Mar 13, 2015 at 19:29 comment added bbgodfrey @JacobBond Yes, but there undoubtedly is a better way, probably involving the intersection of regions.
Mar 13, 2015 at 19:25 comment added Jacob Bond @bbgodfrey So ParametricPlot3D parametrized by $c$?
Mar 13, 2015 at 19:22 comment added Jacob Bond Yes, I intended to ask for points which simultaneously satisfied all threee equations.
Mar 13, 2015 at 19:20 comment added bbgodfrey @JacobBond Your question appeared to ask for a plot of the three equations. Instead, do you want a plot of the intersection of the three? {{a -> -Sqrt[1 - c^2], b -> -c}, {a -> Sqrt[1 - c^2], b -> -c}}
Mar 13, 2015 at 19:17 comment added george2079 @JacobBond you should work the word "simultaneously" into the question..
Mar 13, 2015 at 19:15 comment added Jacob Bond But that includes points on the boundary of the cube, indicating there are points with coordinates bigger than 1, impossible since each of $a^2,b^2,c^2 < 1$ if it satisfies the equations.
Mar 13, 2015 at 19:09 history answered bbgodfrey CC BY-SA 3.0