# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068531:0145 # Permalink to this reading: https://leibnizlegible.com/page/00068531:0145?run=74 # Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2 # Folio 73r, page id 00068531:0145 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 72v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068531&page=145 # Source image: https://digitale-sammlungen.gwlb.de/content/00068531/jpgs/default/00000145.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 recognised, mean confidence 0.79 # 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. saquens DZ aequ vc + Z5. ias theorema ectangulam sut si radii paralleli in circulum incdant rectangulum sub abscissis ab axe circuli divecto et conjugato per radium refractum aequatur sumimae rectangulorum: abscissae ab axe divec directo in sinum anguli incidentia, et abscillae ab axe conjugato in ejusdem anguli sinum complementi Yt , Z ug Radius qui derectu cisa ab axe etirecto 1d ar centrum circuli transeunti paralletus in circulum incidens retri los in centro sibi norma hissaeab axe conjugato excessum conjugato siune insinum complementi. vis vago _. Iteo abscissab axe conjogatus d excessumm gatur, et radius refractus quantum satis utrinque apabscindere in telligatur sit H atit - a aloqu. l. b. fietu: uticet aadbuxhestinscuaabt arqu Z2 a aa Vaegu. a vis aequ. stinca aabo) seu Ss vo- rvsraa a SSvoivstaa () 15 e ncessu ad sinum cmer aa apc+S) deniqu vet vZ aeqey +sZ hacum ago trium aequationum ope 2hhcc - aab-2hc Shtcc - a abb corpendit causa vocetur: Trhihea aabb. hc Shhcc Laabt aequ. af. et et per aequ. 1. et A. feisi X reZe ac aequ a. seu similiter ex 2014, fer vnm osi nonrus fict aequoa si pualores autem y ex oltequando set per s dividendo fe aa Bf. ap 2 + seZ ne tet: 22 2Z ei ec a aas mise (.In Sreeraa qer hem aerince aabb he sa saa bh + h ce a pad cer sinum anguli incidentiae, abscise ab axe directo excessum super portione a- ssf se 27- 2c2+C 2af( ~ + a)14 jam habuim e fiet. et Z 22cqtec 7-20Z. qu. a - aa ande ettieque comperum qusa restotuarmus nihil novissed eadem aequatiee V ae f Mc = Stihic - aabb. Ergo vo aequ 2hhce - a a bb - 2hc Xhh cG aa bb posito bb aego hh laa S vn af. Ergo ex 5. erit: 22. 2CZ qua quia habem,s datorem ipsarum V et Z. quaeramus et du et du. Est autem duaego ds- dos os et ob aqu. bq aequo Sa voss. + at + Cc fict ( Zet v a + q do sago ostdv-suvas Trosstat S vossta qne cons e circu avendien d as ∞ et literae. C