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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 187, page id 1677894601:0379
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=379
# Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000379.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 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.
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# After the first blank line: the recognised lines in reading order, one per line.

du
CTE
Dividtantur hae Tummae per. Anati gunae
ee A Ouotum
posterius dicatur D, erit D area currae cujus ordi-
nata est Ouotum prius  Tr Ra.r. Fit eadem ratione
ponendo omnes Ordinatae terminos praeter primum
aequales nihilo potest area C uerae inveniri cujus Or-
dinata est 28 =Rr. I. Dicatur area icta C, X qua ra-
tione ex areis A e B inventae lunt arexe C aC D, ex
his areis C. ac D inveniri postunt aliae duae F X L
Ordinatis zP =R~ Z ∞ 2 Fr .Rr2 congruentes, _ sic de-
inceps in intimitum. Et per analysin contrariam
regredi licet ab areis F _ F ad areas C, aCD, _
inde ad areas A ex B, aliasq; quae in progrestione se-
quuntur. Igitur A index  perpetua unitatum ad-
ditione vel lubductione augeatur vel minuatur, et
ex areis quae Ordinatis sic prodeuntibus respondent
duae simplicissimae habentur; dantur alia omnes in
intinitum. C. F. O.
C AS. TII.
FF per caTUS holCe duos conjunctos, A tam in
des o perpetua additione rel subductione iptIUSn
quam index n perpetua additione vel subductione
unitatis, utcunq; auseatur vel minuatur, dabuntur
areae singulis prodeuntibus Ordinatis respondentes.
2. F. C
L