
#1
Oct2912, 02:48 PM

P: 38

Why does mathematics deal with the world of perfect spheres, triangles and squares. I understand how this can be applied to architecture and engineering. But this seems counterintuitive to 'nature' that surrounds us which is objects that are not perfect in shape. The earth for instance isn't a perfect sphere it budges out at the equator. So why is mathematics always prone to using perfect angles and objects to be measured when nature isn't that way at all.
Thank you 



#2
Oct2912, 03:53 PM

Mentor
P: 10,798

Mathematics uses other shapes, too. But often, circles, triangles and so on are good approximations. In addition, they are used as introduction as they are easier to treat than other shapes.




#3
Oct2912, 03:53 PM

P: 5,462

Natural geometry also follows some more specialised mathematics  spirals, fibonacchi series, and some very complicated equal area shpes. Note also that the word geometry derives from 'measurement of the Earth'. 



#4
Oct2912, 04:18 PM

Sci Advisor
HW Helper
PF Gold
P: 12,016

Perfect shapes in mathematics 



#5
Nov112, 03:37 AM

P: 38





#6
Nov112, 09:39 AM

Sci Advisor
HW Helper
PF Gold
P: 12,016

And what should you approximate reality FROM, if not from the "perfect" shapes???
You can call a rectangle a perfect, unrealistic figure for all you like, but it is from the rectangle and its associated area formula that you can basically derive the area of any other shape. 


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