# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1677894601:0400 # Permalink to this reading: https://leibnizlegible.com/page/1677894601:0400?run=74 # Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193) # Folio 208, page id 1677894601:0400 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=400 # Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000400.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.88 # 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. (20E Fxponi autem poslunt hae Auxiones per C urrarum Ordinatas BD, BF BF, BC, BHI, Sc. UI S Ordinata BF (= +DB )Et quantitas Auens, erit ejus Auxio prima ut ordinata BD. Si BF (= AF B. Eit quantitas Auens, erit ejus Auxio prima ut Or- dinata BF X Auxio secunda ut Ordinata BD. Si BII (= ) sic quantitas Auens, erunt ejus Auxio C nes, prima, secunda, tertia _ quarta, ut Ordinatae BC, BF, BF, BD respectire. Et hinc in aequationibus quae quantitates tantum duas incognitas involrunt, quarum una est quan- titas uniformiter Auens et altera est Auxio quaelibet quantitatis alterius Auentis, inveniri potest Auens illa altera per quadEatUTAI CUErATUII. FXPONatUE enim Auxio ejus per Ordinatam BD, X Si haeC SIE duxio pria, quaeratUE area ADB =- BF X I, B AuXiO leCuNdA, QUaeTATUE aECA AE B = =BFX L, ( Duxio tertia, GuaTatUE AECA A FB = = BGX I, XC. e area inventa erit exponens Auentis quaesLX. Sed et in aequationibus quae Auentem _ ejus Duxionem primam sine altera Auence, vel duas ejusdem Auentis duxiones, primam ec secundam, vel secundam e tertiam, vel tertiam e quartam, XC. line alterutra Auente involrunt: inreniri pol- Tunt Aventes per quadraturam Currarum. Sit aequatio dar = aV - WV, existente v = BF, v = BD, = = = AB ec 2 = = T, _ aequatio illa COm plendo dimentiones Auxionum, eradet aav == aV2 2d2 ~YZ, SCu or F or =2. Jam Auat r’ unitormiter de 1