no. word twisting is not word equivalence

the sight of a gun and its usage projects (creates the appearance) power

gun powder does not project power it just creates an explosion.

a miner does not project power it uses power

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projection of power ≠ usage of power

The power has to start from somewhere. You have to project power to use it. The Sun projects power. Plants absorb that power. Animals eat those plants. Humans eat those animals. Human's then use (project) that power towards a goal.

no you are talking about transmission or transformation .

transmission ≠ projection

transformation ≠ projection

words matter a lot otherwise you can convince yourself that something illogical actually makes sense