Double slit experiment (geometric maths problem)

AI Thread Summary
The discussion focuses on the double slit experiment and a specific geometric relationship in the accompanying diagram. The main question is about the equality BP - AP = BD, with a request for clarification on how this is derived. It is noted that PA is approximately equal to PD because the segment AD is very small in comparison to the other lengths involved. Participants are encouraged to provide insights or calculations that clarify this relationship. Understanding this geometric aspect is crucial for grasping the underlying principles of the experiment.
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I understand the experiment and the trigonometry involved except for one statement.

Why is BP-AP=BD in this diagram

http://www.citycollegiate.com/interference2.htm

How do you know this/ work it out.

Many thanks
 
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PA = PD to a very good approximation as AD is extremely small compared to both.
 
Thank you
 
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