# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067971:0015 # Permalink to this reading: https://leibnizlegible.com/page/00067971:0015?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 12 # Folio 8r, page id 00067971:0015 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067971&page=15 # Source image: https://digitale-sammlungen.gwlb.de/content/00067971/jpgs/default/00000015.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.94 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. ineam specie datam describere quae transeat per duo puncta data, jungantur puncta dato principio, et transeuntem per punctum datum. peridem punctum e jungatur princi– pium et punctum datum. Et eodem pringipro de- scribatur linea quaevis ejisdem speciei, secans rectam jungentem, si op. opus productam. fiat ut intercepta inter principium et punctum interse ctionis, ad rectam jungentem, ita linea alia ejusdem speciei ad priorem, et homologa lineae alter ejussem speciei, ad prhomologa prioris et linea nova erit quaesita idem est si pro principio aliud punctum determinatae positionis detur. Lineam specie datam describere tanguli oir omnia p Tres rectae ex angulis in oppositer nt mali normales satant se in eodem puncto evi contro Gamats tres rectae ex Medio laterum normaliter eductae secant se in eodem puncto quod est centrum circuli circumscripti, quod e AEG sim. BdG. Ergo A AG: GE = BG: GD Ergo A, E, seu AG. Gd = 8G. GE Ergo A, E, Bd sunt in circulo investigetur centram gravitatis horum trium in Triangulo, Areae qa superficialis ambitus vest qui est linearis, et angul areae quae constat, superficiebus ambitus qui constat ex lineis; et extremorum qua et et extremorum quae constant ex punctis Ita habemus complura puncta fixa in triangulo eodem modo se habertia retata secundum certam considera tionem relata, ad tria latera (etsi non eodem modo absolute se habeant ad tria latera); et recta fransiens perduo hujusmodi puncta utilis erit ad calculos priangulares ut scilicet incognitae positionidit rocta ad quam referuntur ilia figura non dega non nmphidextra centrum magnitudinis cum id triangulo non detur utile erit quar centium lineare, ad imitationem foci lincan apte eligatur