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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 170, page id 845634801:0176
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 80 lines, status machine
# Lines: 80 recognised, mean confidence 0.87
# 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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# 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.

Y
Ouadcaro cubus laceris primi
N
5
Pluslarere secundo in quadraro- quadearum quineuplum lateris primi
Pluslareris secundi quadraro in cubum decuplum lareris primi
Plus laceris secundi cubo in quadrarum decuplum laceris primi.
Plus laceris secundi quadcaco- quadraro in lacus prim uIH GMHluptum
Plus quadraco cubo laceris secundi,
cum illud Theorema.
leaque figura puncto, quod primum ad laevam occurrit signara, dicerur sedes unica
Excrema randem, se des unicarum metientium quadraco. cubum lareris se cundi. Ouod (i
plura Cupertuissent puncta, non eCo s MMereCO, quoniam quadra-
co- cubus incelligeretur ab inicio p a OBS IS laceribus, quae cum elici
ta Forenr, Fungerentur vice unius, de post incelligeretur componi ex illo adoregato, tan-
quam primolatere, et lequemre ur secundo, et eo in infinirum ordine.
aequatur quadearo cubo aderegari lacerum. Instiruerur relolurio secundum syncheri.
cum metlehelum quadraco-cubum lareris primI eE MRI OTIS. SEQUEHS nUmeTAIIS Hda
Sedes plano- lolidi sub quadraco-quadraco ejusdem laceris primi, quincuplandi. Succe-
dens, plano. Solidi subeo decplalar. Succcdensturus, plano. Colidi sub quadrato
rursus decuplandi. Keliqua incermedia, plano. Colidi lubiplo Prnolatete quincupa
Purdatea anals seos quaatato-cnot pir.
LEductio lateris lingutaris PrHII.
Sedes (n. P
sularium
2 4
Ca C, 9. N.
Ccaarato
uborum
en plano
olidorum
2.
OTornume.
 rales circu.
4. 16 li, quotp.
60. 16. 25
qua
rato. Cn
 late
ave
sin
ria.
0
N.
d
Suaarato cubus resolvendus
Plano. solidum ablatiliam
Reliquum resolvendi quadrato. cubt
sub gradi.
bus.
Ouadraro cubus lateris primi.
erislinguarstecusat.
62622
TT Eductio 1.
Leliquum resolvendi quadrato. Cubt
Ouintuplum quadrato- qua
dracum lateris primi
Orgsorese Decuplus cubus ejusdem.
Decuplum quadratum ejus dem
Duincuplum latus primum
Summa dt
C. 32,1024
Summa plano. solidorum, aqualis resi-
duo resolruio quadrato. cubo.
+7
alatere secundo in quir
10. quadrarum primt.
aquadrato lateris secundi in decuplum
Eu
bumprimi
abubo lateris secundt in decuptum qua
dratum primi
2560 a quadraro- quadraro seunt n quintu
plum lacus primum
102 4 quadrato cubus lateris secundio
62624
quadra
elano: solica abt
Itaque sir _C, aequetur 79, 626-4. s l N 24. Ex retroerada, quae omnino observata cernu
compositionisria.