# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0147
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0147?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 141, page id 845634801:0147
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=147
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000147.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine
# Lines: 68 recognised, mean confidence 0.85
# 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.

pum
Doll
1aC
met
ecta
il
facial
EIFC
1
anien
Ortet
nqua
ABd
tribe
INEL
buneur Cathethodo verisproxta, alCuratasaurem extibete, cneb.
erx porius quam Arichmetici: Expe tamen in radicum asymmetriis, jurabit
Arichmeticum ea cubicarum aequationum consticutio, quxe eradica est de
ditterentia relagoresato medliarum, ex daca differentia vel aggrc8ato ex-
cremarum, praecer rectangulum submediis rel exeremis; reletiam jam era-
denda doctrina de deprestione aequationum quadrato. quadraricarum ad
quadraticas, permectium cubicarum a radicC pLAnA: POLCFAE AUFCI HCSO
cium absolvi ex quadrato- quadraticarum consticutione per plasina agnita.
susceptanora Zcreli, atnon minustaliciter, ac Tortassis eriam eleganeius.
Per opus quod dicitur climactica paraplerolis, tribus quacuorre sequenti-
A OV A F F D N V N
busexemplitcandaTobematis.
Omnino climactica parapleroli, non etiam anastrophe, reduci quadeari-
Cas, quadraco-guaataticas, cubo-cubicas, e exinde per binos gradus al-
ternos elimacticas aequalitates; jam ance animadvertum est. Ps aurem lpe-
cies irregularis descensus, adlumpro nempe supplemento; quo pertinet
verbiparapleroleosnotatio.
A
L R OB L F M A l.
uationem quadrato. quadrati adfecti sublatere; permedium cubi-
caeradicem habenes planam, ad quadraticam deprimere.
PcoxOnatuIE A quad. quad. F B solido in A, aequari Z p lanO-pLANO. OpOTTCL FaCeTE
quod imperatum est. Exiisipirur quae proxonuncur, A quad. - quad., aequabirur Z plano-
Plano - B Colido in A. Verique xequalicaris parri addatur A quad. in P. quad., Y P quad.
quad. 2. Toicur A quad. . quad. == A quad. in F. quad. + F. quad. - quad. =, aequabieur
planio plano -B Colido in A F A quad. in E quad. L E. quad: quad. 2. Omnia diri-
danEE LIIDGAAOTAFICC, HIIIC OHetur A quad. +. F quad.
Idcirco enm de industria A quad.- quadraco, adjecta Fuerune in supplemeneum duo il-
la plano- plana A quad in F quad., es F quad.- quadrari Z, quae alio qui deficiebane d cano-
nica genes quadrari, insticura a duabus radicibus planis: quo d s alcera aequaliraris pars
Polser quoque dividi subquadeacice, quod ocirerurforer aquale A quad. L P quad. =
Ectirigendum ioicur quadrarum a radice plana, cui alcera illa aequalicatis pars commo-
de comparetur, ur ci candem radici plana adaequetur A quad. = F quad. =
Sicigicur ab5 2o=F in A. Sc enim in comparatione cranelcene adfectiones sub A
veloradibus, de inciderur in aequalitarem de F, quo cendendum est.
EHictum ixirur quad. exie
idum + F quad. in A quad. - B Colido in A, Xquan-
dum Z plano. plano - B solido in A.  F: quad. in A quad. Y F quad. - quad. =
Ex deleris urrinque adFectionibus E quadr. in A quadr. - B Colido in A. Omni-
bulque in E. quad. 4. ductis, F. cubo. cubus + Z plano. plano 4. in F quad, aequabicur B
olido. solido. Innorescar aurem E quad. esse D quad. Fr5o B colium =D in A, a quabitur
a quad. -1
requabicur
ad. =, e ordinaca secundum arrem aequalicare A quad. -+ D in A.
D quad. 2
Exli proponatur A quad. - quad. = B Colido in A, aquari Z plano. plano.
Radix plana ectinxendi quadrari Ctaruerur D Coidum + E in A, comparanda A quad. 1. F.
quad.
Idem in aqualitare negata inverle converrendo, de sub conrraria adtectionisnora s-
sumenrando. A quad. . quad. - B solido in A, aequari - Z pl2n0. plano
Quod erirxqualia aequalibus auterre: ce dec aurem F quad. Cemiltis = Pon, quuin alio
Jupralcerin vegata directe.
tlinc pocecune ordinari cria re ductionis T hCOremaca