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## Henry Bushby Transcription pages

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157

In every group I, II, III &c. alike,

where y is less than n, - as it is

in the 1b knots - the complication

reduces to O_{1} & is a circle. Thus

II_{5} ^{1b}/_{4c}, though not a Torsion

does so, and ~~P~~ II_{3}_{5} ^{1b}/_{2c}, not a Torsion,

does so. With torsions it follows

under the N_{(N + 1)} rule; the fact

that with other groups x(d[?]) also

gives the new __n__, points to some

still more general law.

The Torsion Rule may ~~also~~ be

expressed thus:-

(n - 1)_{n}^{ xB}/_{yC} = (x - 1)_{x} ^{nB}/_{n(x - 1) C}

or

N_{(N + 1)}^{ xB}/_{xNC} = (x - 1)_{x} ^{(N + 1)B}/_{(N + 1)(x - 1)C}

or

K_{n}^{ xB}/_{x(n - 1)C} = K_{x} ^{nB}/_{n(x - 1)C}

where N = Numeral Group I, II &c, and

K = Torsion Group.