# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0163 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0163?run=74 # Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0) # Folio 103, page id 797435492:0163 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=163 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000163.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.89 # 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. P E C T. ZIY. Fnjusmodi Vitrum AEropes juvat; pro quibus ita conttruatur: sit Z. D distantia, ad quam optime cernune; Pumaturque Z B utcun- que paullo minor quam ZD; ec fiat C B = ZZ B; TM CCHEO C per B describatur circulus F BF, _ CeNtrO Z per D circulus OD HI describatur; ip(i (Supexticiei CD E oculum adtmOVeNtES) punctum Adistincte spectabunt, velut ad L Citum. Duod si velit Mrops, ad distantiam iridem Z D distincte cernens, altienatum punctum A contemplari; ad sumpto, ut priis, libere. puncto B, HaE C B - 2 ABX L B 5AB -3 ZB; e reliqua tiane, ut prius. II. Dati puncti perfectam imaginem, etiam ope lentis concavo- F18. 164. convexa, in datum aliud punctum Z lor girquius projicere. FiaE AZ. AD:: I -R. RE. item diridatur A D in C, UE SIECD. C A:: I. R; _ CentrO C per D describatur circuluS F DF. item centro a, quopiam incervallo A B (minori quam AD) describatuE circulus F D F; factum erie; nempe lens FD F puncti A ina- einem in punctum Z projiciet. Data C B, puncta A; Z vicilsim e propolicis innotelcune. In vitro, (IC B = 75, Cric L.C = 9. ZB = 24 CSAZ =- 16. CAB = 40. Uridem ex hic, per lentem P. L versus Z cendentes radii in A retrin- GUBEUE. Flinc. Presbyris urile conficiatur Virrum, hoc pacto: Ad incerral- lum Z. Dhi distincte videane. Secetur Z D in A, uE liE AD = - ZZD.. item (It C D = Z AD (vel (IC D = 3ZD) CenErOque C PEF D. describatur circulus FD F. item urcunque sumpeo puncto B (citra D. nempe, versuS A) CentrO A per B describatur circulUS E BF. lenre P F dicti Presbyta punctum A distinetistime conspicient.) Flisce demum in cumulum adjiciacur ab amico communicatus Modus elesans ac expeditus cuiu scunque casus imaginem Geometrice desig nandi; ut es lentem describendi, qua imasinem in datum punctum prostotet. I. Imarinem destenare. Eceneris, e verricibus circulorum lentem constimentium exigan- F18. 165, tur ad axin perpendiculares RI, BP, D(, C. L; deinde per punctum 166, 167. A ducatur quaeris recta A P I secanS P P, _C l in P, 4 I. tac CI. CR:: I. K. agatur recta R P SCCanS DO, e Re in , ece; TaC R8. Kj:: R. I, et agatur 2 O, quae producta lecabir arin in Y, l0c0 imas inis. qux FitO. 1 26. c0