When I first began to really study how to play pool, I struggled with understanding how the tangent line worked, how to find it, how to use it. The tangential definition didn’t really befuddle me, as I understood the concept, but man, I just couldn’t apply my “how to find tangent” homework to my actual shots and get the results I thought I was supposed to get. Let’s explore some of the flaws in my fundamentals as a beginner that made things more difficult than they needed to be, and lets put those lessons to work helping you learn how to find a tangent line that does what it’s supposed to do.
Tangent Definition
Wikipedia has this to say: “In geometry, the tangent line (or simply the tangent) to a curve at a given point is the straight line that “just touches” the curve at that point (in the sense explained more precisely below). As it passes through the point where the tangent line and the curve meet, or the point of tangency, the tangent line is “going in the same direction” as the curve, and in this sense it is the best straight-line approximation to the curve at that point.”
And the tangents definition for a curving surface: “Similarly, the tangent plane to a surface at a given point is the plane that “just touches” the surface ...
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