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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 111, page id 845634801:0127
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=127
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 83 lines, status machine
# Lines: 83 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.

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cubusi
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cubo
rit
A QV A TF O N V M.
primxe _e triplo cubo terrix, XquatUF CUDOAGGTCSALI CxEremaruIM
Eadem enim visel que in ancecedenre Theoremate demonstrario.
A P V F ZV.
Equationum ancipitum consticuriva.
Cnicx per Synerml ancipices equationes, aux plalinatis resolutione
 auc denique Lcteleosri, isto modo ferc se habent.
De affectis sub depressiore gradu; seu latere.
E E B OR E M A
EFB in A - A quad., XqUCTuE Z planO: CAB composiea e duobus jareri-
bus, subquibus quod hcrectansulum, xequum est Z. Plano: _ Ac A latus
Sunt duo latera 2 es 10. bbidetUr Y2N = TO, aequari 20. e Aet 1N2, vel 1O.
E H E O R E M A II
EF Bplanum in A. LcubO, aquetur Z Colido: est B planum compolitm ex
quaetacis crium preporrionalium: e Z Colidum quod tic ductu alcerius
exeremae  dsslesdeum quadratorum a reliquis: e tic A prima veltercia
Sunco proportionales. 2. V 20. 10. dicetur 12 4 N - L C, aequari 240. 85 fit 1 N 2, vel 10.
T H EOR EM A ITI.
SFB Colidum in A - A quad. - quad., X quetuF Z. plano. plano: est B Colidum
compolicum ex cubis quatuor continue proportionalium: _ Z. plano-
Planum quodhc ductu alterius exerema, in agoregacum cuborum a eribus
reliquis: d Ac A prima rel QuaIa.
Sunco consinue proporcionales. 2. N C 40. VC200. 10. Dicetur L248 N = 1 89. aequare
2480. ex fiet LN2, vel 10.
T A EOR EM A IV.
ECB plano. planum in A - A quad. - cubo, aquetur Z. plano. Colido: est B p 12-
no. planum compositum ex quad. - quadratis quinquE CONFIHUE PFOPOE-
cionalium: _ Z. plano Colidum quod Ec ductu AIECKIUIS ExFICMA in aBBFCSA.
cum quadrato. quadratorum à quatuor reliquis: e tc Aprima vel quinta.
Sunco concinue proporcionales 2. W 80. 1 20. W 2000. 10. Dicetur 12436N = + OC, aqua-
ri. 24960.  pet TN 2, vel 10.
T H E OR E M A V
CFB plario. solidum in A = A cubo. cubo, aequetur Z. Solido. solido: est B
plano solidum compolitum ex quadraco: cubis lex continue proportio.
nalIum: _ Z Colido. Colidum quod Ar ductu alterius extrema in aggresatum
Quadraco. cuborum a quinquereliquis: _ hc A prima vel (Cxta.
Sunco continue proporcionales: 2. N 9C. 160. V 96. 800. V 9C. 4000. N96, 20000. 10.
Dicetur, 124992N = 1CC, aequari 249920. 85 fit L N 2, vel 10.
Deaffectis sub elatiore eradu, seu lateri reciproco.
Y E E O R E I A VI
SBin A quad. = A cubo, aequetur Z Solido: est Bcompolica ex cribus
Proporrionalibus, a L Colidum quod Arductu alEeriuS exTreMa in qua-
deacum composiex e duabus reliquis: _ Ac A compolica e duabus primis,
vel cduabus postremis
Sineproporiionales, 1. 2. 4. Dicerur 7 O = + C, aequari 36. ex sit LH 3. vel 6
T H EOR FM A VII.
EFBin A cubum = A quad. quad. Xquetur Z plano. plano: est B compo-
lIEa ex quatuor continue proportionalibus: SZ plano planum, quod fic
ductu alcerius exerema in cubum compolicae e rribus reliquis: de sit A com-
polica ecribus primis, vele cribus postremis.
Sine
majas minulve.