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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 135, page id 845634801:0141
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=141
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine
# Lines: 75 recognised, mean confidence 0.82
# 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.

Cisti.
d2.
de.
adi-
2
a
par
ti0.
ice
bed
CM
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ned
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(12
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112
iaH
icis.
5al
2r0
eFII
Aa
AE OV A FF O N V Mt
Analtroples opusa pettestur: primum potestati racicis de qua guae-
rituI, adjicitur porestas radicisxque alta, talium enim pocestatum agerc.
sacum, commode diritionem recipit in praedicto climactericarum ordinc.
deinde homogeneum comparationis, una cum cranstaris adfectionum ho-
mogeneis _ addica porestate, comparatur efficta magnicudimi, qua Can-
dem diritionem recipiat: qua comparatione inciditur in xe qualitatem Cor.
relacam, vel actirmatam, vel nesacam directe. Cxccrum ad dicicie potesta-
tis radice cognita, oriunde masnitudines ex una parce, oriundis magnicu-
dinibus ex alcera comparantur commode, de xqualicas alioquin duouy-
Xarn, Per medium slunzarcoriens, deprimicet   aas. Guo  C+-
emplis fac apertius, primum ad anastrophen cubicarum.
P R O B L E N A I.
PRoponatur B planum in A = A cubo, aequari Z. Tolido.
Ouoniam isitur de Colidonegatur cubus, anceps aeguario est, neque ad Analysin
idonca: vicanda isirur ambiguiras est ee dylmechania: quocirca hac anastrophe, acque
idcirco ex iis quae proponuneur, adhibica mecachesi, A cubus aequarur B plano in A - Z
Colido. Vecique parri addacur E cubus. ergo A cubus f P cubo, aequabitur B plano in
A + F cub0 - Z Tolido
Prima aurem aequationis pars commode divisionem cecipie ab A L F, ad 29OFCC2
cum enim lacerum, dum applicatur agoresarum cuborum, Oritur aggregatum quadca=
corum, minus rectangulo a laceribus, quare orietur ex ea applicatione, A quad. - F in
A Y E quad. Restat igicur ur alcera aequalicaris pars, applicaca ad A F F, FaciaE ali-
quod dacum planum jam ortis reliquis comparandum, id aurem commode hec, si in lo-
cum E cubi = Z Colido, Substitueretur B planum in F, nalcecur enim B planum. -
quiraleacigicur ue subcticuatur: quoniam isirur E cubus = Z Colido, ad XquatuT ex hy-
pochel B plavo in F. erBO per ancirhesIn F. cubus = B planO in F, aequabitur Z (0-
lido.
Trague A quad: = F in A F F quad., aquabiEIE B plaNO. NOTAIBIIESITF Cx ANA-
IyII. adhibica per ancecedets capur decenti preparatione, urpore etto illa D, Cr 80. A 9.
=A in D ; D quad. xquabicur B plano. Xc ordinando, D in A - - A quad., X quaBICE
Aquacio ixitur inverlenesata, in nesaram directe, ejuldem ordinis crantmurara est.
ita ut daca radicenove aquaconis, hac climacticus irregularis descentus in depretsio-
rem, de radice primum propolica explicabilem: quod opus dicitur anastrophe, et Facien-
 I P O R B M A I.
LB PLaNUIM I A = A cubO, aquatuE Z Colido, igitE P Cubus = )
Plano in L, Xquabitur L IOudo. P aurem innoreleat esse D: D in A -
39N - TC, aequarur 70. Lstur LC - 39N, aequabicur 70, 8 fit TUIM LN7. IIaque Z L
29 aequabieur 10. ita est radix primum quaesita, e fit 2 vel 5.
P R OBE E M A TI.
Ed proponatur B.IA quad. = A cubo, aquari Z. Colido. OpOrTCT La-
Ex iis iBiTUE qua proponuntur, Adhibita congrua mecachesi. A cubus, aquabitur B
in A quad. -- Z. Colido, e urique aqualicaris parri addendo F cubum, A cubus L F. CU-
AC vero Z Colidum =F CDO, Xquee B in F quad, id est E. cubus F B in E. quad
aequetur Z Colido. A cuds L. F. cubo, a quabieur B in A quad. = B in F. quad.
Con-
D quad. = B plano.
dum erac. LIinc OrdinaTUE
A quad. xequabitur D quad. -B plano.
rophentacere.
60, aquabitur B in A quad. F E cub0 -Z Tolido.