Seeing the contact point on the object ball.
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The "equal pieces" are the equal halves of the CB/OB overlap at contact?There are always references you can use - marks on the ball, the numbers, even the silhouette if it's a solid color. The easiest reference to transfer is the cross section.
When checking ball to pocket, bisect the ball. This gives you the pocket line, contact point, and the cross section. This cross section will be more evident when you get back to the cue ball.
This is a depiction of CB and OB shot contact. The circle on the left is the OB. The circle on the right is the CB or GB position.
View attachment 899222
The black line bisects the OB along the direction it will take. The colored lines are various shot vectors and show how the cross sections are derived and intersect the contact point. Notice they are equal and opposite across the balls.
These equal pieces are easier to see and remember than just the points.
pj
chgo