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can' it be applied for 1-D like 2-d & 3-D? If can, how & if not why?

can' it be applied for  1-D like 2-d & 3-D? If can, how & if not why?

Grade:12

1 Answers

Prudhvi teja
83 Points
13 years ago

Dear Padma

In geometry, Cavalieri's principle, sometimes called the method of indivisibles, named after Bonaventura Cavalieri, is as follows

  • 2D: Suppose two regions in a plane are included between two parallel lines in that plane. If every line parallel to these two lines intersects both regions in line segments of equal length, then the two regions have equal areas.
  • 3D: Suppose two regions in three-space (solids) are included between two parallel planes. If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.

If you take 1-d then there will be only point.So you cant define.

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Regards,
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Prudhvi Teja

 

 


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