@Trebuchets
Yes these are constructs that could only exist with the understanding the of physics behind the lever. Again Osi got to the point before me. So yes this is a Physics Invention. It was covered by Engineering in Civ4, And Engineering as you say owe's everything to the Physics understood at the time.
As for Roman Physics improoving longivity. I suppose it would be in thier understanding of Physics that allowed the many various great constucts they built to sustain the first massively populated city of the world. The best example I can think of would be the Aqeduct. Which they used all over their empire along with other Inventions which drastically improoved the lifes of everybody in the Roman Empire.
Technically they could do as they did last civilisation and include Trebuchets under Engineering. But its just as correct to have them under the title Physics, as without the understanding of Physics a wonderous contraption especially for the time, they wouldn't of been able to make Trebuchets.
Physics has been used in many fields since Ancient times and it is key in the workings of many things. Especially anything hugely mechanical.
As for medicine, yes I would put this in Modern ish times, I would put the greatest medical discovery as Penicillin. Rather than some Ancient Medicinal practiceses, as I believe most of these would of been as likely to kill you as to heal you
As for the Wheel, well yes the water wheel was a poor example, but im sure you could think of another type of wheel more important than the original Invention, I would struggle to put my thumb on one, but it may very well yet exist. Though most inventions of wheels have simply been better types of wheels of great mechanisms using wheels. Just Imagine if when the wheel was invented it had been invented square :O, not sure what that has to do with what I have been saying but it came into my head and is a comical thought.
@Tim, thats because nobody cares about Asphalt

, isn't that just another word for stuff roads are made out of, which technically has always existed
P.s Yes as Schuesseled says some of his posts are not his own

, I will register my own account sometime. And I wouldnt say I was being rude, more arguementative perhaps

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