You must have an outdated book. The New York is figure #3 in the current ISTD student-teacher section.

John. I don't know what the new york has to do with the quickstep, but your alinement for the chasse is for the basic chasse to the left. Yithchen is asking about the chasse to the right. A novice rutine in the quickstep that would cover the long side of a competition floor may start with a spin in the turn corner followed by (chasse to the left.diagonal to center)(quick open reverse)(double reverse spin)(chasse to the right along the line of dance)(back lock and running finish)ending with a (spin turn in the corner) we would replace the spin turn for a rhumba cross. As for the reverse wave, One of our routines in the foxtrot for the long side is (feather diagonal to center (fallaway slip pivot. down the line of dance)(double reverse turn)(curving three step)(REVERSE WAVE)(pivot in the corner into(rudolf falloway)(slip pivot into open telemark ending to face the new line of dance. This would cover the long side of a normal international competition at the pre-championship leval. We dance at the senior championship leval.

Sorry, Don. This is an only one book I have, called the Technique of Ballroom Dancing (author: Guy Howard ( first published in 1976, the new addition was 2002 )
Some statements from it confused me . So I dug it out to quest because of that
I am not sure of what is it a misprinted or my misunderstanding.
My coach refused to discuss with me.
My coach mentioned rare about the allignment or figure we are dancing .( Most of them have such strategy .) Initially, he told me what I am learning what you are following . I noted no educating plan for me there .The condition of skip grades made a lot of problems provened. I had ever asked him : Can we select the basic knowledge such as how to know we are standing vertically, how to correct it immediately,what timing relationship between the body and foot moving , how to get coordinate of feet , the lower part and upper part , what is the rule of lady head in dancing, how to get a perfact position of head , how to transfer weight smoothly ? He smiled or kept silent or touched it lightly. Sometimes I said, your dance too complicated to follow when I had no idea what it is or how to dance . I believed your teacher must show you step by step if he/ she knew you were not familiar with it. I am a beginner , I want to learn the basic steps . He said, I forgot them. They wasted energy too much. I am your teacher not your partner, I only teach you technique . You should find them by yourself. In fact , I had to stop my tear in such condition. I told myself : that is life. Don't give up.
Interestingly, there were a couple,
who had danced for years via selves teaching usually ,prepared a set pattern of waltz copying from some DVD . wanted to study with my coach on last Saturday when I had lesson with him. I said , no metter, I am so glad you have new student .I found his attitude was much more positive. They got what they wanted but lacked of the knowledge of base.
What ever will be? if the student is just a beginner who love dancing ?
Fortunately, I ,finally ,found other learning sources. such as this valuable website, watching and talking to the people dancing ,some DVDs of Marcus, Mirco, Luca, and the mentioned book, which opens my mind, answers my questions, tell me the base to dance correctly . enable me to keep going on this long long journey.