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Henry Bushby Transcription Pages


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by ix, given any two of n [?], B & C,
the 3rd can be found, so that a
knot may be sufficiently indicated
by "S [?] n[?] C", "S [?] n[?] B, or "B,C, or [?] B[over]C/provided
that for n[?] the index number of the
series is written, for B the no. of
bights, & for C the number of crossings.
(xii) It further follows from ix that
in early[?] any series, [Sn][?] /where B represents suc-
cessively the terms of the arithmetical
progression 1, 2, 3 [?], of which the difference is [.......?] C will represent
successively the terms of an arithmetical
progression of which the difference & [?] are to
(n-1)x n being the index of the
(xiii) Since by ix, B = C [over] n[?]-1 and since
by viii, B & C are both positive integers, [?]
and by vii n[?] is likewise a positive integer,
and since B may be any positive
integer from 1 to (infinity-1), n[-1 may be
[?] any, factor or [?] of C. & no other number Hence

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