Is there a law of geometry that says:
If a chord intersects in a circle with the diameter of the circle, the product of the sections of the chord is equal to the product of the sections of the diameter.
Does this law have a name? Prove it!
Yes, this is called: Intersecting chords theorem. (Wikipedia has a solid explanation of this theorem)
Since the diameter is the longest chord of a circle, it's included in this theorem.
jugoslav 4 hours ago