# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1677894601:0269 # Permalink to this reading: https://leibnizlegible.com/page/1677894601:0269?run=74 # Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193) # Folio 93, page id 1677894601:0269 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=269 # Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000269.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.92 # 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. to determine this proportion accuratelr. AIIO theC ir- cles inade successirety by the red, vellorr and green, differed more from one another than those made succel- lively by cheoreen, blue and indico. For the Circle made by the violet ras t00 dark to bC seen. Po Carry on the computation, Let us theretore suppole that thC differences oF the Diameters of the Circles made by the ontmost red, the contine of red and oranse, the contine OF oranse and vellor, the contine of vellon and green, the contine oF green and blue, the contine ot bluc and indico, the contine ot indico and violet, and outmost vio- let, are in proportion as the differences of the lenoths oF a Monochord irhich Cound the tones in an Fignt; sol, Jan fa sol, la mi fa sol, that 15, 25 the numDerS 5 Iby 20 127 39 27 18. And iFthe Diameter ot the Circle made by the contine of red and oranse bc g A, and that ot the Circle made by the contine ot blue and indico be 8 A a5 abore, their diterence 9 A - - - - 8 A wiil DC t0 the ditterence of the Diameters ot the Circles made Dy the outmostred, and br the contine ot red and orange, 25 25 F 22 F 22 + 27 t05, That 15 25 2, 103 Or 8 +0 Z, and 10 che difference ot the Circles made by the outmost violet, aud by the contine ot blue and indico, 25 18 + 12 F 12 + 2 10 27 + 10, that 15, 45 27 10 31, Or 45 16t05. And there. Fore thele differences ill be s A and 20 A. Add the Fixs +09 A and subduet the last From 8 A, and vou Wvis hare the Diameters ot the Circles made by the least and most retranoible raYS s A and EZ A. These Diameters are theretore to onc another 25 75 t06I=Or 50+0 AT, aud their Squares a5 2500 t0 1681, that 15, 45 3 t0 2 very neartr. Which proportion ditfers not much trom che proportion ol che Diameters ot che Circles