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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 164, page id 845634801:0170
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=170
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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 0.92
# 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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# After the first blank line: the recognised lines in reading order, one per line.

164
Ec ubi derentum est ad pocestacem, punctum rurtus adponitor (ymbo-
lum unicatum mecientium porestatem lateris penultimi, e rurlus pOst PuN-
ctum progrediendo in anteriora collocantor norx luo parodicorum ora-
duum ordine. FFita fiat continue, donec perreniatur ad porestatem lateris
exlingularibus primi eemaximi.
Teaque quor punctis lingularium porectatum constat relolrendo numero
porestas, tortiouris numeralibus radicem, de qua quaeritur, constare pro
nunciato.
Vnicares metientes primam lingularem poreltatem, candemque Mas
rem danco primum latus, idemque majus, ex communisenli rel cabulao-
culis ideo exposita, quoniam porestatum, quarum lacera sune numeralis
unius fsurx, neglisit arsrelolutionem.
Laceris primisinoularis oradus parodici, secundum porectatis condicio.
nem, tanFUPIaNEOT, S Se de lia collocantor singuli, d lubjiciuntor resol-
venda maonicudini, postquam ab ca pocelcas sinoularis prima fueric adem-
Pta. FEquod ex adplicatione oritur, latus secundum sacuitor, adplicario-
ne inquam non omnino accurata. lam ad iplum quoque lacus adplicatio
nem heri Cubaudiendum est. Scd ita, uthomogenea, qua hent ex linoulari
illo secundo latere, Cuisque parodicis gradibus in latus primum, laterisque
Primi gradus reciprocos, aequentur magnitudini relolvendae, aurei de
mum cedant.
Et si aequent, opus absolutrum pronunciato. Sin cedane, _ SuperHEali-
quod punctum porestati addictum, duo jam elicita latera Fungantur unius
vicc, e luntoranquam primum de majus, e cadem omnino via, quaante.
pergatur ad sequentis, uc minoris ex secundi, inrentionem, es co deinceps
concinuo ordinc.
Ouodh dum cedune non supertic aliquod addictum porestati punctum,
aroumentum est maonitudinis relolrendae lacus esse irrationale. Collecto
ItaqUe laECTI adjUINGIEUE FPAGIENEUM CUIjUS HUIMEFAEOF eA MIMCruS CMa
onitudine resoluta reliquus. Dirilores iidem, qui esent si aliquod punctum
poceltaci addictum superesset relolrendum, ee cale tragmentum lingula-
rium laterum lumma adjunctum, Facit latus porestatis re lolutxe majus vero.
Ee in quadratis si denominatori addaEUFUNIEAS, FaCIELAFUS MINIS VerO. II
diriloribus enim inest implicie latus, quod alioqui proxime esset elicien-
dum, ut pore producta per numerales circulos ea quae resolvitur, poresta-
TC, _C CONFIHUIaTO OpCrC. Ac illud constatnecese est intra denarii metam
alioguin eice non fuit opcratum.
Dux, urspecralius illustrentur, imprimisproponitur ad eductionesradi
cumuna concentarum numerali figura
E LVV M E R