"Rise at the end of one. What can be clearer than that."
It's clear, it is just not the whole story, as everyone except for you realizes. There is incidentally gain and loss of altitude after that. The book isn't wrong, it is just oversimplified.
"When you mention Len Scrivener. He said the book was wrong only on that after the second step the third step is not up but is decending."
Well the book isn't wrong, but he rightly pointed out that there is more to the story than what is written there. You continue going up until the end of step two, and then you start going down immediatley. This is not part of the formal rise and fall, but it obviously happens as result of the legs closing and opening, as anyone can see.
"Look at the correct action of the rear foot. You will see it goes to the tip of the toe and is held in contact with the floor, which gives it a delayed look."
If you look closer, you will see that it doesn't go to the tip until after the weight has left it. Yes, the closure is delayed, but the weight has already left the foot. In fact, you will have a hard time finding more than a single frame of video on which you might argue that there is weight in both feet - and quite often you will find zero such frames!
"Which then means that we are standing on one leg."
Which is exactly what all the skilled dancers do!
"If the partner is the same then what sort of balance do we have between us."
Answer: you are balanced. Standing one two legs is not balancing, it is cheating. Standing on one leg, and either being balanced, or moving along your intended path - that takes skill.
"How high is the heel from the floor for both the lady and the man. I would suggest we look at the moving pictures or the still ones at the extent of the stride. You will clearly see that the very last part of the toe is on the floor by both and also on every extension front and back."
Indeed, but if you take the time to look carefully, you will see that this position with just the toe on the ground and the heel high is not achieved until AFTER body weight has left the foot. It is followthrough only.