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These shots were determined experimentally on a 4 1/2 by 9 foot Brunswick Gold Crown III.  I encourage you to try them out for yourself.  The diagrams are for a cue ball struck very near center with medium speed on a line through two diamonds, and should also apply to object balls which are struck head on.  The contact points on the rails 

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are connected by straight lines, but remember that the ball may not actually travel on a straight line path between these points.

Trying to remember exactly the effects of speed and english on these shots is not reasonable, in my opinion, because of the many ways the cue ball may be put into motion; but, you should understand the changes induced by speed