Specifically the relationship between V and Omega, where there is a k^2 proportion.
One such way is by drawing a set of tangents around the circle. These tangents represents the vector of V. The circle is naturally represented as the vector of Omega. The gap in-between these tangents, at the surface of the circle, is x, where (lim x -> 0.) x, when it moves outward, increases as a square of "what x was before." It is from this that we can see how the circular component must move through the distance of x (lim x-> 0), where x is of a k^2 proportion.
Another way of visualising is to draw a quarter curve of a circle - this is the diagram with the red and blue dots. On the tangent ("V") draw a square from it (Pythagoras style.) Know the area of this square. If the circular component moves to the end of the section, such that it is only perpendicular to the original tangent, then it has only completed one side of that square. One side of a square compared to the square is a k^2 proportion. You can come to this conclusion by comparing the square-line on any amount of the circle completed.
Hope this was insightful. (I made pic btw)
One such way is by drawing a set of tangents around the circle. These tangents represents the vector of V. The circle is naturally represented as the vector of Omega. The gap in-between these tangents, at the surface of the circle, is x, where (lim x -> 0.) x, when it moves outward, increases as a square of "what x was before." It is from this that we can see how the circular component must move through the distance of x (lim x-> 0), where x is of a k^2 proportion.
Another way of visualising is to draw a quarter curve of a circle - this is the diagram with the red and blue dots. On the tangent ("V") draw a square from it (Pythagoras style.) Know the area of this square. If the circular component moves to the end of the section, such that it is only perpendicular to the original tangent, then it has only completed one side of that square. One side of a square compared to the square is a k^2 proportion. You can come to this conclusion by comparing the square-line on any amount of the circle completed.
Hope this was insightful. (I made pic btw)
