View attachment 774369
although there is no clock reference where on the ball the contacts are
they are clearly diagrammed both at the top and bottom arcs of the ball
this diagram is from dr dave's website and was from a diagram by
@Patrick Johnson
here are a few more diagrams from dr dave's site which show clocks in the diagrams of cut angles
here is another one of
@Patrick Johnson
View attachment 774371
and here is one from
@oldschool1478 also mentioned on dr dave's site
View attachment 774372
you can go to dr dave's site to learn more about it
as you can see above your idea is not novel
but all of these presuppose you know the correct angle first
although using fractional aim points has been around for a long time and if you know the angle you can use them quite accurately
i think i all my posts have been intelligent if you understood them
First, it should be obvious that perhaps the biggest problem is communication. Simple clear concise. An idea well conceived is an idea well expressed, as the saying goes. Most of what I see in this thread leaves much to be desired. So much so as to be unintelligible some times.
The last diagram you show is by far the best of any previously published diagram that addresses the point. The point being that my idea is not as novel as I had hoped. I was always aware that this possibility existed and even stated so. Especially with such a simple observation on my part.
This "know-it-all" has proved his bona fides. You deserve some congratulation.
This diagram does require some interpretation, bringing some prior knowledge, and is designed, apparently, to be used as a physical pool tabletop mat. But it could certainly be used as merely a simple and convenient mental image to approximate the relationship between clock position and angle. But it does not tell you how to locate the object ball contact point.
The top diagram indicates how much of a, I forget the exact term(s), cue ball/object ball hit to make the angle. For instance, a 3 quarter ball hit to make an approximate 14.5 degree cut or a half ball hit to make a 30 degree cut, etc. Again, it does not tell you how to locate the object ball contact point.
My description begins with the circumstances and does not actually describe how to determine the object ball contact point.
"Visualize the object ball. Ideally a perfect sphere 2.25" in diameter. Now visualize the thinnest horizontal plane that slices precisely through the center of the object ball. Let's call the line that this plane makes with the outer edge of the object ball the equator. Now, the cue ball has the same dimensions as the object ball. Both balls rest on the horizontal table top. So whenever the cue ball makes contact with the object ball, the contact point always lies somewhere along the equator. At contact, the center of the cue ball is always 2.25" from the center of the object ball. And the center of the cue ball is always 1.125" from the contact point. This is the set up. What follows never gets any more complicated than this."
Here is the actual explanation/description with an example that is simple, clear and concise.
"Visualize the object ball as the face of a clock. 12 noon, 1 o'clock, 2 o'clock, 3 o'clock, etc. Let's say you want to cut the object ball to the left by 30 degrees. Find the 1 o'clock position on the edge of the object ball. Now visualize dropping a vertical line straight down from the 1 o'clock position. Where this line intersects the object ball equator is the contact point." (71 words)
Then...
"From 12 noon to 3 PM covers 90 degrees." (9 words)
No diagrams. Only about 71 - 80 words in total. Precise and exact. No prior knowledge or interpretation required.
Although a second example is given, the first alone completely explains how to locate the object ball contact point.
Being able to determine the object ball contact point you can then determine the ghost ball, etc. inexorably leading to effectively telling you how to make the shot. I am telling you essentially the how. I am not merely providing you with data, information and relationships between these. In other words, I am telling you how to make a shot once you know the contact point. These diagrams above don't even come close, they only just scratch the surface.
As you must surely know by now, here is where I, using US&E, am coming from:
"So, you know or should know that once you have decided your object ball and pocket, and the cue ball path and spot position, these parameters automatically allow you to determine precisely everything else you will need to know to make the shot. It begins by telling you the cue ball strike point and the shot cut angle. Once you know the cue ball strike point and the cut angle you can determine the object ball contact point. Once you know the object ball contact point you can determine the ghost ball... At the end of this process you make all your final adjustments for precision: perfection."
Again, good job. And thanks for taking the time and making the effort for all of us to benefit.
