Hi Linda-
thanks for sharing these cool shots.
It's satisfying to see the basics of 'tangent line' made more useful, as you have shown.
Sounds like you play 3c? Can you share anything with us about aiming or visualizing cb path 'going through' a ball on the way to caroming into the 9b?
I ran into you at DannyK's several years ago. I think you were travelling on business and were in the area near Angel stadium. Aunty Dan was in attendance as well, IIRC.
You play well, and all of these illustrated shots further demonstrate that.
Take care
I do play a little 3c, but don't profess to be an expert there. I know 3 railers pretty well from just about anywhere on the table. In fact, before a match, I will send the cueball around 3 rails so i know how the table is running, short or long. If you like this thread, you can check out the 8ball tip thread that I contributed to.
I'm not sure who you were, but I had a great time there at Danny K's.
Anyway, to address your question, you first need to assess the weight of your cueball in relation to the object balls. A red circle, being lighter, is going to deflect wider. A black dot or green squiggle is going to follow straighter, so you have to play with it on your own time. A tournament is not the time to practice them, lol.
Everyone has run into this shot at one time or another, but probably not realized the application of it. In other words, you shot an almost straight in shot with follow, didn't make it, but scratched. It's the same principle.
If you have a heavier QB, then follow this rule of thumb that I made up from practice. I don't really know if there are other instructional things addressing this shot because I learned it about 35 years ago.
Take your cue and line up the middle of the ball you want to carom off of and the cueball. This forms one line. Then line up the the cue ball directly to the pocket. This forms the second side of your 'V'. Intuition tells you that you should split that angle in half, as the path you want your QB to follow, when in reality, it's only about 1/4th to 1/3. If you have a red circle, it can be even less than that.
The skinnier the V, or the lighter the cueball,, the straighter you have to go through the QB.
You also want to roll through these shots, as opposed to poking or jamming, which will make the cueball go wide. I shoot these with follow, as that makes it follow through straighter as well.
To practice, start with what would normally be about a 30-40 degree cut to the pocket because it is a wider follow through shot and is easier to calculate.
Also, be aware that there are shots that are going to send your object ball to the rail and come back into the QB (double kiss) before the QB can clear the path. You'll start to recognize those.
I play a carom game where you take all the balls off the cueball. This will teach you some of these through shot caroms. I will try to make a diagram and post it when I get back to my computer.