By far the best proof is experience.  

Sir Francis Bacon (1561 - 1626)

Focal length

The distance from the center of the lens to a plane at which point a sharp image of an object viewed at an infinite distance from the camera is produced. The focal length determines the size of the image and the angle of the field of view seen by the camera through the lens. That is the distance from the center of the lens to the pickup device. 

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