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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 146, page id 1677894601:0326
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=326
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.91
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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EXL
cidat curra habebit unicam diametrum, _ ErCS si
utrumque. Diameter autem semper transit per in-
terlectionem duarum Alymptoton et bilecat rectas
omnes quae ad ACymptotos illas utrinq; terminantur
ee parallelae TunE  ATYmPEOTOtertia. KRq; abSCiRa
AB diameter Fisura quoties terminus er decst.
Diametrum vero absolute dictam hic ex in seguen-
tibus in vulsari signiticatu uturpo, nempe pra ab-
Scista quae passim habet ordinatas binas aequales ac
idem punctum hinc inde insistentes.
Si FIyperbola redundans nullam habet diametrum
vem redundantes fLTaNtUF AE quationis hujuS a X2 ] B X3 f CXX ] dX
quae diametro de= =0 radiceS quatUOE seu valores iptIUS X. Pde
habent Asymoto- Lunto AP, A ~, A X, A P. Frisantur ordinatae
10s crianeulum L L, 202,  PC, ex hae tansent C urram in punctis
totidem P, 2, tu e tangendo dabunt limites Cur-
rae per quos species ejus innotescet.
NTam A FadICeS OINeS AP, A D, AT, AD sunt
reales, ejusdem sieni X inaequales, Curra constat ex
tribus Fyperbolis, (inscripea circumseripta ec am-
bigena) cum Ovali. LExperbolarum una jacet ver-
TUS D, altera versus d tertia vertiis o, e Oralis
semper jacet intra triansulam Dd , atq; etiam in-
ter medios limites rXr, in quibus utiq; tansitur
ab ordinatis n X Wr. FF haec eA Species prima.
Si c radicibus duae maximae A n A p, vel duae mi-
nimae AP, A ~ aequantur inter se, _ ejusdem funt
Tioni cum alteris duobus, Oralis et Hyperbola cir-
cumleripta libi inxicem sunsuntur cocuntibus carum
punctis contactus) et t vel l_ r, _ crura IIyper-
bolae sese decussando in Oralem continuantur, txu-
ram nodatam efficientia. Quae species est secunda.
Fyperbolae no-
stituuntur es tres
capientes
i8.