
#1
Feb214, 03:52 AM

P: 416

Exist an geometric interpretation for the multiplication of 2 angles? Or exist an geometric interpretation for the square/cube of an angle?




#3
Feb214, 04:24 AM

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PF Gold
P: 10,942

As in: ##\theta_1+\theta_2## would mean that an object underwent two rotations ... so what would ##\theta_1\times\theta_2## mean?
Angles don't have any dimensions  so multiplying angles is the same as scaling them. 



#4
Feb214, 02:49 PM

P: 416

Product between anglesBut if I ask what means α×β, what draw you show me for illustrate such product? 



#5
Feb214, 04:46 PM

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I have never come across a situation where angles are multiplied together. To the best of my knowledge there is no reason to do this, so there is no geometric interpretation.




#6
Feb214, 04:55 PM

P: 416

I was thinking if the solid angle could have some relationship with the product between plane angles...




#7
Feb214, 11:28 PM

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The area of the surface of a unit sphere inside angles ##\theta## and ##\phi## would be (approximately) ##\theta\times\phi## ... that the sort of thing you are thinking of? (Here the angles have to be specially defined.) 



#8
Feb314, 02:42 AM

P: 416




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