# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1677894601:0067 # Permalink to this reading: https://leibnizlegible.com/page/1677894601:0067?run=74 # Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193) # Folio 57, page id 1677894601:0067 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=67 # Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000067.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.93 # 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. IF any Motion or moving ching wrhacloerer be incident rich ans relocier on any broad and chin space termina- ced on boch sides by erro Parallel Planes, and in its paltage chroush chac space bc urged perpendiculartr corrards the turcher Plane by any Force irhich at siren distances trom che Plane is of given quancicies; the perpendicular Velo- ciey ot chat Mocion or Thing, ac its emergins out of chac Space, Ball bc alvars equal eo the Square ROOE oF chc Summ oF che Square ot che perpendicular Velociey ot ehac Norion Or Thins at ies Incidence on thac space; and ot che Square ot che perpendicular Velociey irhich chac Mocion or Thing vould hare ac ies Emergence, il ac iis Incidence irs perpendicular Velocier as intinicely licele. And che same Proxosition holds Erre OF anv. NTOtiOn OF Fhins perpendicularty recarded in ies pastage chrouoh chac Space, it instead of the summ ot che ero Squares rou cake cheir difference. The Demonstration Machemaricians will calily find out, and cheretore I CalI noc trouble the Rea- der wich ic. Suppose nom chac a Ray comins most obliquely in che Fiz. 1. Line MIC be retracted at C by che Plane RS inco che Line CHI, and it ic be reguiredt co End che Line CF inco which any ocher Ray AC ThaII be retracted; let MIC, AD, BC the sines ot incidence of che tvo RaYS, and NTC, FF, cheir Sines of Retraction, and lec the equat Morions of che In- cident Rays be represented by chc equal Lines MI C and AC, and che Morion MC being considered as parallel to che retractins Plane, lec the ocher Mocion AC bC distin- Suihed InEO EIVO NTOtiOnS AD and DC, one ot irhich AD is parallel, and che orher DC perpendicular to the re tractino surtace. In like manner, lec the Mocions oF che emerins Rays be distinguistrd inco cro, Whereot the per- pendicular