HK not only here but at other times as in fact redefined the definition of a term used in TGM. The one that comes to mind is "Plane Angle and Plane Line". He uses as he did in my reference to his works, 'herein'. For Plane Angle and Plane line, he tells us that through out the book unless otherwise noted it is the 'Center of Gravity Application'.
Homer did not "redefine" the term plane angle. Webster's definition of "inclined plane" worked perfectly well: "An angle made by two straight lines that lie in the same plane."
He did, of course, in 2-F himself define the Golf Stroke Plane of Motion as "a flat, inflexible Inclined Plane that extends well beyond the circumference of the Stroke -- in every direction." [Italics mine.] Again, that didn't change the definition of Inclined Plane, he merely used it.
He then went on in 10-6 to define five Basic Reference Points, i.e., specific angles of inclination (and therefore rotation). But again, that didn't redefine the term "inclined plane;" it merely adapted it to the purpose of Geometric Golf and identified five specific angles of tilt. And the (2-F) 'Center of Gravity Application,' i.e., the Sweetspot, is nothing more than him defining for us precisely which part of the club is being delivered across the face of the Plane (tilted at whatever Angle is being referenced).
As an example, if you whirl a rock in a sling (per David and Goliath) or a whiffle ball on a string or whatever, the only part of the object being whirled that truly lies in its plane of rotation (the "line of centrifugal pull") is its longitudinal center of gravity. And when you are whirling a Clubhead, despite what the Club manufacturers like to tell us, that center is only a pinpoint. In his precision, Homer wanted us to be aware that only that pinpoint -- not the Clubshaft, not the entire Clubhead (and certainly not the hosel!) -- was at the end of the straight line of pull (from the #3 Pressure Point).
Regarding the concept of Plane Line, it is, of course, possible to draw an infinite number of lines across the face of a given plane (inclined or not). All that is required is to connect any two points that lie within that same plane. Homer didn't redefine that concept, he merely specified specific lines useful for G.O.L.F.ers, e.g., per 7-5, the basic Plane Line ("where the horizontal intersects the angled vertical"). Sounds complicated, but that is simply where the baseline of the tilted Plane meets the ground.
He then went on (in 2-N-O) to define two other important Plane Lines, namely the Impact Point Plane Line and the Low Point Plane Line. So, we have at least three Lines drawn through three important parallel points of reference: (1) where the Inclined Plane meets ground; (2) where club meets the Ball; and (3) the exact bottom of the Clubhead orbit. Each line co-exists on the face of the same Inclined Plane of Motion and is either crossed or touched by the orbiting Sweetspot. [An exception would be when a shot is struck from a tee and the Low Point Plane Line is above the basic Plane Line (which lies on the ground).]
Again, Homer did not redefine the terms relating to the basic lines and shapes of plane geometry. Per 1-C, he merely adapted them to his purpose.
Homer didn't, the what is he say in 2-F second paragraph? I will make it easy for you I will type it out..
Regardless of where the Clubshaft and Clubhead are joined together, it always feels as ifthey are joined at the Sweet Spot -- the longitudinal center of gravity, the line of the pull of Centrifugal Force. So ther is a "Clubshaft" Plane and a "Sweet Spot" , or "Swing", Plane. But herein, unless otherwise noted, "Plane Angle" and Plane Line" always refer to the Center of Gravity apllication. Study 2-N.......
My point of adding this was not that he redefined Inclined Plane, that is your stuff you are injecting, but that he choose to redefine Plane Angle and Plane Line.
Between the vertical and the horizontal, any given plane may be tilted aninfinite number of degrees, including, for example, 37.93367549876 degrees.Similarly, an infinite number of parallel lines may be drawn across its face.Specifying reference points for (1) the degree of tilt (Plane Angle) or (2) forthe position of a given line inscribed on the face of the plane (Plane Line)does not in any way "redefine" those respective terms. It merelylocates them.