# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068531:0150 # Permalink to this reading: https://leibnizlegible.com/page/00068531:0150?run=74 # Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2 # Folio 75v, page id 00068531:0150 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 76r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068531&page=150 # Source image: https://digitale-sammlungen.gwlb.de/content/00068531/jpgs/default/00000150.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 77 lines, status machine # Lines: 77 recognised, mean confidence 0.83 # 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. quod si substituatur valor et praecedentis, habentur semper Et ita porto. repile hoc fier Fradii nitro sunt convergen el divergentes. praeterea ea ut contrahatur calculus pro mechanica investigandum est focus per appropinquationem quod fieri potest follendo X. non quidem vere, sed ita, ut id quosans sit vulde parvum. seu ut x multi tur per quantitatem valie diminueu seu fractionem. Ita reperto foci ippirebit modus postea component ati B s ad s. B si B 5.). e L X Cbo r ( M 5. ~ utile substitui hunc vatorem ipsius ubius inph et habebitur plenus valot ipsius h. curva. vitra Caterum semper y A S N. sin (), B () + et primi quidem X valor non invenitur sed debet relinqui adhuc. Secundum vero X et tertium, et quartum habentur hoc hodo : (X) ~ +(E) (2) - 1h) p, X 3 1 2 h 13) b y (X) p (X) +hB py7 - phD (X (X) +dh B rem = ph B (7) seu () X +stet riXhi u acte - X + h reria ( (3 2 (3) fietque (X) + t) (S) - () X + (h) (si. Pe (4) + 26) h abe) s _(SZ ∞) X + 2X (h) + ( 2) 3+ X + 2X h) tchi) X +Et , (52 = h yt 314 X + 2xch Fte filper conpendium X + alhi) 3 X, 14 157 - (1) ei Ce2 sit (X) + 2shi) Y () + (627 3 cone s )coth 2) et 4 h) est et (X)H co2 c04 c0+ (cor 175) - co ta) gr + t7 yd = 1h y 2 () R y (c 72) - cork2jus + tidu - tyye + Ch, y co Xco + (h) cor explicentur rursus co et et habebitur valor ipsius () pariter et ipsius (7). et eodem modo valor etiam ipsius (X) et ipsius (y)) item ipsius ((XB et ipsius ((Y). Quos valores ubique inserendo in valoribus ipsorum (PhV).. PhB. h. p. ) acidenique in valore (hspro y ponendo S52-X habebitur deniue valor ipsius (h) per solam indeterminatarum X. quo obtento ponantur omnes termini ipsius oei termini ipsius X. nihilo aequales, quod si fieri potest, poterit tunc poterit poterunt etiam omnes radii paralleli ope circulu in unum punctum colligi sit s +2Xh) + () BCot et X +(h) A_ Y sat n) (S ) - seti 1 5 + h) plenus valor duarum refractionu ut calculo generali pro qualibet Sro eticulu utite praemila pro ad bulorem strimi (h, expli tac qui sit cum