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:This seems to refer to the conservation of momentum of the type which occurs for example when a body collides with a stationary body.  So that since ''mv''<sub>1i</sub> + 0 = ''mv''<sub>1f</sub> + ''mv''<sub>2f</sub> therefore ''mv''<sub>1i</sub> - ''mv''<sub>1f</sub> = ''mv''<sub>2f</sub>.  The ''mv''<sub>1i</sub> - ''mv''<sub>1f</sub> is the impulse ''J''.  So impulse ''J'' is equal to ''mv''<sub>2f</sub>, and bodies that are alike (the condition supposed by Aristotle) have the same ''m'' mass, so that ''J'' x constant (1/''m'') = ''v''<sub>2f</sub>.  Therefore the ratio of ''J'' to ''v''<sub>2f</sub> is a constant (which incidentally is none other than ''m''), so ''v''<sub>2f</sub> does increase (move faster) in proportion to impulse ''J'' by the constant ratio (1/''m'').  [[User:VargasMilan|VargasMilan]] 16:16, 14 October 2014 (EDT)
 
:This seems to refer to the conservation of momentum of the type which occurs for example when a body collides with a stationary body.  So that since ''mv''<sub>1i</sub> + 0 = ''mv''<sub>1f</sub> + ''mv''<sub>2f</sub> therefore ''mv''<sub>1i</sub> - ''mv''<sub>1f</sub> = ''mv''<sub>2f</sub>.  The ''mv''<sub>1i</sub> - ''mv''<sub>1f</sub> is the impulse ''J''.  So impulse ''J'' is equal to ''mv''<sub>2f</sub>, and bodies that are alike (the condition supposed by Aristotle) have the same ''m'' mass, so that ''J'' x constant (1/''m'') = ''v''<sub>2f</sub>.  Therefore the ratio of ''J'' to ''v''<sub>2f</sub> is a constant (which incidentally is none other than ''m''), so ''v''<sub>2f</sub> does increase (move faster) in proportion to impulse ''J'' by the constant ratio (1/''m'').  [[User:VargasMilan|VargasMilan]] 16:16, 14 October 2014 (EDT)
 
::I think you're misinterpreting "impulse" as a more modern sense than Aristotle knew if you read this as about elastic collision.  In any case, this section has been cited as the teaching, which Galileo sought to disprove at the Leaning Tower, that objects fell at a rate proportional to their mass.  This is even mentioned in the [[Aristotle]] article here, so if you wish to argue otherwise you should raise the issue there. [[User:MelH|MelH]] 16:40, 14 October 2014 (EDT)
 
::I think you're misinterpreting "impulse" as a more modern sense than Aristotle knew if you read this as about elastic collision.  In any case, this section has been cited as the teaching, which Galileo sought to disprove at the Leaning Tower, that objects fell at a rate proportional to their mass.  This is even mentioned in the [[Aristotle]] article here, so if you wish to argue otherwise you should raise the issue there. [[User:MelH|MelH]] 16:40, 14 October 2014 (EDT)
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:::Do you suppose that you could have cited the wrong section?  [[User:VargasMilan|VargasMilan]] 17:05, 14 October 2014 (EDT)
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