James Joseph Sylvester: Collected Mathematical Papers, Source-Checked Modern LaTeX Working Editions

Dedicated James Joseph Sylvester author record for source-checked modern LaTeX working editions and continuation artifacts. The current public reader surface promotes Volume I through book page 511, with editable TeX, source-scan slices, and continuation notes preserved in the source packet. Status at a glance. [########--] Volume I source-checked working edition: book pages 1-511; [#########-] source witness preservation: source slices and page images are available for the covered range; [###-------] remaining volumes and later pages: staged for continued transcription. This update adds book pages 494-511, continuing Paper 57 from the end of Art. 42 through Art. 43, the Supplement to Section III, Arts. (a)-(q), and the opening of Section IV, Art. 44. The new range has no figures or standalone tables; symbolic displays are encoded in TeX, with source witnesses included for checking. The batch status reports no screenshot substitutions, TODO placeholders, or not-transcribed markers, and both new and cumulative TeX compile.