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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 207, page id 845634801:0213
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.86
# 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.

i
5ral1B
PR
P R OB L F M A X IV.
 Dato in numeris quadrato quadraro adfecto, mulea quidem plano-
Plani sublacere e dato coefficiente solido, adjunctione vero plano-
plani sub cubo e data coefficiente lonsicudine, latus analycice clicere.
PFOPONAFuFFOO F 1O C = 2OON, XqUaTI 1, 369,856. OUXFITE QLAnEA SIEFN, la-
culve proxoliri adfecti adtirmare sub cubo, de nesare lub latere quadraro- guadrari.
Ex magnicudine isicur propolica 1, 369, 856, ur eliciarur latus relolrendi quadraro-
quadcari ira adfecti idem arguenre geneli, erir omnino processus, qui in analys quadrato-
quadcari adfecti pevare sub cubo et adFrmare sub larere, idem ordo, eadem punctorum
ledes _ coëfficienrium. Sed quae facta homogenea a coetticiente solido crane ablaricia-
coesticience vero longicudine addiciria; hic concra Facta a coethcience longirudine
crune ablaricia, sicur ec factare gularia. Pacta vero d co etficienre Colido addicicia, ue in pa-
radigmate.
Paradiema analy seos quadrato- quaarat dupliciter adfecti, subcubo
per adfirmationem, ex latere per necationem.
I Eductio laceris singularis primi.
Coessiciens longirudo
Coëfsiciens solidun
Duadraco quadracum adsect
resolvendum.
Plano- platia
Summa plano. plan
tiorum.
Plano. planum addicirium.
Eacessus ablatitiorum.
Reliquum resolvendi adfecti quadrato-
subbabica.
TI Eductio lateris linsularis tec.
in criplum quadrarum la-
207
POTES F A XYA L25OLYLIOHL.
sublater
2O8F 1C
quadraii.
lonsibulinem.
Ouadrato. quadratum lateris primi:
ut boessibtentema
A laceta primi
Solidum explecionis,
à coefficiente loncicudine
Divisor
superior
teris primt.
E)= elanum explesionis; d
coefficiente loncirudine in
Coessierens tongicudo.
criplum latus primum.
Cocssibibibss
Alatere prino in coesiciens soliaum
reliqulem