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Cavalieri's Principle

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Cavalieri’s Principle 

If the areas of the cross sectionsof two solids by any plane parallel to a given plane are invariablyequal, then the two solids have the same volume. This proposi-tion (and the analogous one for plane figures), which was alreadywell-known to ancient Greek mathematicians, is usually calledCavalieri’s principle, although the Italian mathematicianF. B. Cavalieri in his Geometry (1635) does not take it as aprinciple but proves it.
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In this research, we estimated before and after treatment the foot ulcer surface area stereologically using the regular point-counting grid method based on Cavalieri's principle [14-15].
Effects of vacuum-compression therapy on healing of diabetic foot ... by Akbari, Asghar; Moodi, Hesam; Ghiasi, Fatemeh; Sagheb, Hamidreza Mahmoudzadeh; Rashidi, Homayra / Journal of Rehabilitation Research & Development
 
 
 
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