# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0231
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0231?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 225, page id 845634801:0231
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=231
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000231.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.89
# 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.

haben
verla
aC Cd
licium
DUS, C
IeuF C
in
cA
uris
mec
LOTES TATVM RESOEVTTOHE.
primae addicto. Ouod cM latus congrueret, si quae proponitur resolvenda magniendo
ellec pura, idem adlumerur ad lacus lingulare primum
Cum aurem in anceriora prorumpie coethciens, argumentum est, homogenea adte
ctionum majora esse lateris de quo quaeritur porestate. Lcerit consentaneum, opus a di
visione inchoare. Ieaque si divisormajor est dividendo, her secessio, devoluriove coëtti-
cientis suboradualis in succedens sibi addictum punctum, idque tories donec locus (ie
divitioni
Ex quor leceder punctis coefhciens suboradualis, quae nimis prorumpebac in ancerio-
ra exiliens magnicudinis re solurioni expolcxe rerminos, ror secedent coeFRcienres guX
que in sibi addicta loca. Ac denique ror delebuncur lubrus Cingularium porectacum pun-
Cta, sub quibus alioquin erar primilaceris instiruenda eductio
lra aurem à divisione resolvendae porestaris per coëtticientem magnicudinem opusin-
choabitur, ur lex homogeneorum mancar illae la. Nempe
Si relolvenda magnicudo est cubus, aliud. ve Colidum; coëfticiens vero planum: Ca
quae ex adplicatione divilione re oritur magnitudo, radix esto.
Ach coefhciens est longirudo, id quod oritur quadrarum esto, et quadrari orriviradix
Proxima verae subnoracor: quandoquidem, cum Colidum adplicatur ad longicudinem, id
quodoritur planum eAt.
Aque, Smagnicudo re Colvenda srquadraro. cubus, aliud- re plano. Solidum; coets-
ciens vero planum: quod oritur cubus esto, e cubi eriam radIX pFOXIIA VeTX SUBHOTAFOI.
quandoquidem, cum plano. Colidum adplicatur ad planum, id quod oritur Colidum est.
Ecea constanti in omnibus porestaribus ex coëfticientibus, merhodo.
Accum neque in posteriora secedie relprorumpir in anteriora coetficiens (ubgradua-
lismagnicudo, sed in eadem prope commiltura existie, tunc homogenea sub gradu et
ea coefficiente poreltatem lateris lingularis propemodum adaequat, et live d radicis edu-
ctione opus inchoet Analysta, sive à divitione, sencier non raro le deludi. leaque magis
CA, ur in ea aroeia Cuum artificium prodar. Ouod crir hujulmodi.
Expendet coesticientis cadicem pro suo magnicudinis genere; iptam videlicet coetfi-
cienrem, Si coëtlciens longitudo est; ret latus quadrari si planum; vellacus cubi si loli-
dum, _ eo continuo ordine, et ab caradice poreltarem effcietre (olvendxe propolix
magnicudini homogeneam, e deinceps comparandam. Radix aurem prima differentix
incer ambas erir lacus Cingulare primum educendum. Auc eriam reducet coetsicientes, de
eam, quae relolvenda proponitur, magnicudinem ad idem magnicudinis genus, ec redu-
ctarum sumer a resolvenda differentiam. ec radix prima difterenrix erit, ut ante, lacus
lingulare primum educendum.
Casus sebarus.
Ouod GadFectio Fuerirper negationem a porestare, porestas quidem singularis lare.
tis auterecur propolica magnitudini resolvenda. Ac eidem addetur homogenea sub Gra-
du de coesticienre.
Er acoefficiens sub gradu homogeneam negaram pluribus conster punctis condirio.
hariis, quam selolvenda propolica magnicudo, prouc unum quodque magnicudinis se
mus exposcie, designandis: talis magnicudo censebitur murila _ anÉ aN O. IFAGUELOEnUI-
lveralibus circulis à dexrra ad laeram accolletur, quor decse videbuntur ad explendum
Punctorum condirionariorum coesticientis numerum. Radix aurem coeffcientis secun-
dum suuts magnicudinis genus expenderur, de satuerur lacus singulare primum resol-
EAonempe coëtsiciens longirudo, relolvenda vero planum. Ouorigitr binisfiguris
constabir planum, (i cor simplicibus conster lonsicudo, dicentur ambae magnicudinis
eunctis condiionariis equact. LFCoëllicientis ipsiusprima a lera ad dexeram sisura, sta-
Ecto coethciens planum, relolvenda vero solidum. Ouorigitur ternis Eguris consta-
Bctolidum, Crorbinis constecplanum, dicentur amba lonsicudines punctis conditio
eltimanda, lacuserir singulare primum resolvendx porestaris adfectae.
Crea constanci in ommos porestatibus ec coetscienribus, methodo
telda poreltatis adtecta.
uerurlacus Cinsulare primum relolvenda porestaris adfectae