Luigi Bianchi: Differential Geometry and Continuous Transformation Groups

Modern LaTeX working editions and controlling source witnesses for two works by Luigi Bianchi. Lezioni di geometria differenziale, Volume I (1902). This version provides complete cumulative Italian and English reader PDFs, the exact 543-frame printed source scan, and a reproducible sources-and-QA supplement. The Italian text is source-literal at every audited locus: scan-proved omissions and corruptions are restored, while Bianchi's printed errors remain visible rather than being silently modernized. The English translation may use a proved mathematical correction only with an immediate editorial note recording the printed reading and evidence. The update incorporates 44 scan-proved source findings and three figure corrections. Figures 7, 8, and 9 are direct tightly cropped facsimiles of the 600-ppi authority pixels, with zero differing pixels between each untouched crop and its metadata-normalized embedded derivative. Both 356-page readers pass two clean fixed-epoch two-pass PDFLaTeX builds with byte-identical outputs, zero recorded warnings, and fully embedded fonts. All 712 output pages were rendered and reviewed at page scale, and all 96 changed-locus output gates were individually inspected at 5,000-dpi render scale. The 5,000-dpi views are inspection magnification and add no optical source information. This is not yet a claim of exhaustive glyph-by-glyph replay of every unchanged region in all 543 frames. Lezioni sulla teoria dei gruppi continui finiti di trasformazioni. Anno 1902-1903 (1903). The directly readable Italian and English partial readers remain unchanged through handwritten numbered page 116. The full 731-frame TIB Hannover color photographic witness (shelfmark Mr.I 583; DOI 10.14463/GBV:885209656) and its sources-and-QA supplement also remain directly visible and byte-identical. The direct Italian-to-Simplified-Chinese translation of the differential-geometry volume remains in production and is not included in this version.