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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 145, page id 1677894601:0325
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=325
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 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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I145
e utrinq; in crura contraria producitur, cruciformem
quae conjugatam decustat, nodatam quae sciplam de-
cultat in orbem redeundo, cuspidatam cujus partes
duae in angulo contactus concurrunt ex ibi terminan-
tur, punctatam quae conjusatam habet Oralem infi-
nite parram id est punctum, e puram quae per im-
Pollibilitatem duarum radicum Orali, Nodo, C. uI-
Dide de Puncto conjusato priratur. Fodem sentu
Parabolam quoq; conversentem, diversentem, cruri-
bus contrariis praeditam, cruciformem, nodatam, cus.
paatam, punctatam e puram nominabimus.
Iu calu primo si terminus a x aftirmativus est Fi-
sura erit LEyperbola triplex cum (ex cruribus IIY- redundante
perbolicis quae juxta tres Alymptotos quarum nullae ejus cribus A.
lunt parallelae in infinitum prosrediuntur, binae juxta
unamquamq; in Plasas contrarias. Et hae ACymp-
toti s Terminus bXX non deest se mutuo secabunt
in tribus punctis triansulum (Dds) inter se con-
civentes, lin terminus b x x deest conversent omnes
ad idem punctum. In priori catu cape AD =
20, et Ad = A0 = 28, ac junse Dd, Do, X erunt
AD, Dd, Datres AIymptoti. In posteriori duc
ordinatam quamvis BC, et in ea utrinq; producta
cape hinc inde BF s BF sibi mutuo aequales e
in ea ratione ad A B quam habet ,d ad a, junSC9;
AF, AF, X CTUNE AB, AF, AF tres AIympoti.
Hanc autem Fyperbolam rocaus sedundantem
quia numero crurum Fyperbolicorum Sectiones C0-
nicaS superat.
In Lyverbola omni redundante ( neq; terminUS
improcs.
y delit neq; sit bb- 4 ac aequale + a C a Cur ra nUII- perbolae diametra
am habebit diametrum, sin eorum alteTUEEUM aC- C suu crururo
1
Cidat
XIII.
De Fyberbola
XIV.
De hujus TIy
infinttorum.