# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1677894601:0367 # Permalink to this reading: https://leibnizlegible.com/page/1677894601:0367?run=74 # Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193) # Folio 175, page id 1677894601:0367 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=367 # Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000367.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine # Lines: 24 recognised, mean confidence 0.86 # 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. C+ 6 In hujus autem generis aequationibus concipien- dum est quod duxiones in lingulis terminis sint ejul- dem ordinis, id est vel omnes primi ordinis Y, 2. vel omnes secundi Y, y2, y2 2, vel omnes tertii Y, VV, Y29 γ3, V 29 γ2 23 _C. Et ubi res aliter se habet complendus est ordo per lubintellectas Auxio nes quantitatis unitormiter Auentis. Sic aequatio norissima complendo ordinem tertium ft 92yy 28Z72y-]-32.7y2- -187γYY ]. 6277-24223 =0. PROP. II. PROB. II. Invenire Curvas quae quadrari possunt. Sit ABC. fgura invenienda, BC. Oedinatim ap. F15. 4. plicata rectangula, de AB abscissa. ProduCatuE C B ad F ut sE BF = 2, d compleatur paxallelo- GFAMIUM ABF. D: _ aPEArUM ABC, ABFD Auxiones erunt ut BC. X BF. APumatur igitur aequatio quaeris qua relatio arearum detiniatur, e inde dabitur relatio ordinatarum BC ec BF per Prov. I.. G. F. L. Ftujus rei exempla habentur in LloBon duabus sequentibus. ACOP.