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MATH.8:3 - Forces

ForceTension
Reusing one solution and finding all solutionsTransformations reuse a known answer, but another answer may lie in a different orbit.
A law and a fixed problemTransforming the data can preserve the form of a law while changing the problem being solved.
Many transformations and distinct objectsDifferent transformations can return the same object.
Reduced calculation and returned informationTreating an orbit as one case can simplify an invariant question while losing an orientation or label needed by another result.