Link to current text
MATH.8:3 - Forces
| Force | Tension |
| Reusing one solution and finding all solutions | Transformations reuse a known answer, but another answer may lie in a different orbit. |
| A law and a fixed problem | Transforming the data can preserve the form of a law while changing the problem being solved. |
| Many transformations and distinct objects | Different transformations can return the same object. |
| Reduced calculation and returned information | Treating an orbit as one case can simplify an invariant question while losing an orientation or label needed by another result. |