Cross Section
Pronunciation: /ˈkrɔsˈsɛk ʃən/ ?

Figure 1: Stack of coins. 
 In geometry, a cross section is a section made by cutting an object with
a plane. Cross sections are important in the study of math.
Cavalieri's principle
states that, if the volumes of the cross sections of two
3dimensional
geometric
figures
are equal, then the volumes of the two figures is the same. This is illustrated by a stack
of coins. It doesn't matter how the coins are stacked, the volume of the stack of coins
remains the same. Cavalieri's principle leads the way to infinitesimal calculus.
 In statistics, a cross section is a sample of data believed to be
representative.
Examples of Geometric Cross Sections
Click on the images to see a fullsize version.

Figure 1: Cross section of a tree trunk. 

Figure 2: Cross section of a car engine. 

Figure 3: Cross section of the earth's crust. 
Cite this article as:
Cross Section. 20100228. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/crosssection.html.
Image Credits
Revision History
20100228: Authored (
McAdams, David.)