Deriving the Thin Lens Formula: How Does Equation 1 Relate to the Triangles?

AI Thread Summary
The discussion centers on understanding the derivation of the thin lens formula, 1/f = 1/do + 1/di, and its connection to ray diagrams. The user seeks clarification on how this formula relates to triangles depicted in the diagrams, particularly regarding the relationships between various segments labeled in the diagrams. There is a request for a clearer explanation of the mathematical relationships, specifically how di/f - 1 connects to the triangle ratios. The conversation highlights the importance of visual aids in grasping the concepts of optics. Overall, the thread emphasizes the need for a deeper understanding of geometric relationships in the context of lens equations.
Larrytsai
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Hi I need help on figuring where and how 1/f = 1/do + 1/di
My teacher told me it relates to the ray diagram but i have no clue where to start to find where this formula has come from. Any help would be much appreciated.
 
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Here shows you how to derive it.
 
rock.freak667 said:
Here shows you how to derive it.

WOW thank you so much... i can't even explain how happy uve made me. I know this will help for sure but could you explain about how equation 1 relates to the triangles to me please. Just make it a lil more clearer to me:D or could someone explain to me how
di/f -1 is related to
Ab/cd = Af/df like i see the labels on the diagram but it doesn't make sense like why we divide f and stuff sry if u guys can't understand what I am trying to say
 
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