Luigi Bianchi: Lezioni di geometria differenziale, Volume I, Italian Source and English Translation Working Edition

Dedicated Luigi Bianchi author/work record for a modern LaTeX working edition of Lezioni di geometria differenziale, Volume I. This version contains reader-facing Italian source transcription and corrected English translation PDFs, a cumulative source-scan witness PDF, and the full TeX/source-witness/auditfix package. Status at a glance. [##########] Volume I source pdfpages 001-543 represented; [##########] Italian source transcription and English translation reading streams compiled as cumulative PDFs; [#########-] source witnesses, ledgers, render checks, and package audits included. This is a package-audited modern working edition, not a final scholarly critical edition. Auditfix in this version. The 2026-06-09 auditfix repairs one English control-character formula defect, restores source-consistent \sen notation in nine English formula instances, restores the section 186 displayed formula U^\prime=dU/dx_n, and expands section 189 to restore omitted derivation prose and two displayed formulae before Poincare formula (17). Post-fix checks report equal Italian/English formula tag sequence, equal equation/display/TikZ/longtable counts, zero control characters, and zero configured TeX-log diagnostics. The package audit reports that source pages 505-529 complete the mathematical text through Chapter XIV / section 222 and Fine del volume primo, pages 530-536 contain the complete authorial index, and pages 537-543 are non-authorial digitization/provenance/back-cover material retained in source witnesses rather than inserted into the reading stream. The authorial index is rendered as editable TeX longtable, not as an image. Corrections, source comparisons, LaTeX fixes, and translation improvements can be proposed through GitHub issues or pull requests: https://github.com/KokunoYumeto/modern-latex-manuscripts.