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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