High School How can I calculate this hyperbola's equation?

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To calculate the equation of a hyperbola for telescope mirror design, the parameters "sphere radius" of 153mm and "hyperbolic factor" of 21500 are essential. These values are likely derived from optical design principles, specifically for modeling light rays in 2D. Resources such as Wikipedia may provide additional insights into hyperbola equations and their applications in optics. Understanding these parameters is crucial for accurate calculations in telescope design. Seeking further clarification on their definitions and applications can enhance the design process.
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Hello. I am currently trying to calculate the equation of a hyperbola, which I have little experience with. The hyperbola has a "sphere radius" of 153mm and a "hyperbolic factor" of 21500. I haven't been able to find anything online about what these mean and am lost. The parameters where given to me by a program called optical ray tracer which is used to model light rays in 2D. I am currently designing a telescope's mirror.
 
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liamnerf said:
Hello. I am currently trying to calculate the equation of a hyperbola, which I have little experience with. The hyperbola has a "sphere radius" of 153mm and a "hyperbolic factor" of 21500. I haven't been able to find anything online about what these mean and am lost. The parameters where given to me by a program called optical ray tracer which is used to model light rays in 2D. I am currently designing a telescope's mirror.

Hello liamnerf

Welcome to PF!

This may be of help.
 
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Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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