This section is from the book "Facts Worth Knowing", by Robert Kemp Philip. Also available from Amazon: Inquire Within for Anything You Want to Know.
The gentleman takes the lady's left hand with his right, moving one bar to the left by glissade, and two hops on his left foot, while the lady does the same to the right on her right foot; at the second bar they repeat the same with the other foot - this is repeated for sixteen bars - they then waltz sixteen bars, glissade and two hops, taking care to occupy the time of two bars, to get quite round. The gentleman now takes both hands of. the lady, and makes the grand square - moving three-bars to his left - at the fourth bar making two beats, while turning the angle - his right foot is now moved forward to the other angle three bars, at the fourth beat again while turning the angle - the same repeated for sixteen bars - the lady having her right foot forward, when the gentleman has his left foot forward - the waltz is again repeated; after which several other steps are introduced, but which must needs be seen to be understood.
The dancers form a circle, then promenade during the introduction - all waltz sixteen bars - set, holding partner's right hand, and turn - waltz thirty-two bars - rest and turn partners slowly - face partner and chassez to the right and left - pi-rouette lady twice with the right hand, all waltz sixteen bars - set and turn - all form a circle, still retaining the lady by the right hand, and more round to the left, sixteen bars - waltz for finale.
The couples take hold of hands as in the usual waltz. First Waltz - The gentleman hops the lef' foot well forward, then baek; and glissades half round. He then hops the right foot forward and back, and glissades the other half round. The lady performs the same steps, beginning with the right foot. Second - The gentleman, hopping, strikes the left heel three times agains the right heel, and then jumps half round on the left foot; he then strikes the right heel three times against the left, and jumps on the right foot, completing the circle. The lady does the same steps with reverse feet Third - The gentleman raises up the left foot, steps it lightly on the ground forward, then stikes the right heel smartly twice, and glissades half round. The same is then done with the other foot. The lady begins with the right foot.
This waltz contains, like the common waltz, three times, but differently divided. The first time consists of a gliding step; the second a chassez, including two times in one. A chassez is performed by bringing one leg-near the other, then moving it forward, backward, right, left, and round. The gen tleman begins by sliding to the left with his left foot, then performing a chassez towards the left with his right foot without turning at all during the first two times. He then slides backwards with his right leg, turning half round; after which he puts his left leg behind to perform a chassez forward, turning then half round for the second time. The lady waltzes in the same manner, except that the first time she slides to the right with the right foot, and also performs the chassez on the right, and continues the same as the gentleman, except that she slides backwards with her right foot, when the gentleman slides with his left foot to the left; and when the gentleman slides with his right foot backwards, she slides with the left foot to the left. To perform this waltz gracefully, care must be taken to avoid jumping, but merely to slide, and keep the knees slightly bent.
 
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