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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 218, page id 845634801:0224
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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 0.89
# 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.

Dissetea risorum
odtium moatiri
E
d
Summa solidorum ablasiriorum
Soluum ad
Alarere secundo incripium quadra
cum primi.
A quadrato secundi in triplum latu
primum.
A latere secundo in planum explesio
A quadrato secundi in coesficientem.
Cubus secundi.
Summa solidorum addicuiorum.
Excessus ablaciciorum, aqualis res
resolvendocubo.
Haaue (57 O - L C, aequerur 24, 300. fit L N 45 latus unum e duobus, de quibus equalitas po
rest explicari, idemque majus, ur indicar limicum praefinitio. Kujus quadrarum est 2. 025, ad quo
dum adplicatur solidum 24, 300, oritur 12, quod eriam relinquit 57 post ablatam 45. Inrellieunto
ires proporrionales longicudines, quarum prima sic 12, composita ex secunda ex terria 45, latus alterum
de quo proposita anceps aequalicas potest explicari, componetur ex prima ex secunda. Sit ergo larus illui
alterum LN. 29 - 12 N, aequabitur 5, 40 ex siet L N 30, latus minus.
De ambiguitare cubi mulciplicicer adfecti.
Cubus adfectus sub quadraro negare ee latere adtrmate ambiguus est, quando 
plum quadracum crrienre coeficienris longicudinismajus es coesticiente plano.
PEOPONALIEF C. =6 O. L IL N, aequari 6. Ouoniam 12 criplum quadrarum e erienteb.
majus est coettciente plano rr: ideo F N de rribus lareribus porest explicari, quorum sum
ma 6, crinum sub iisrectangulum r1. Solidum sub iildem factum concinue 6. Ouonian
aurem Colidum 6 adjunctum 16 cubo duplo crrience coëfficiencis longicudinis, e quale
CA Colido 22, quod Ec a criente co ëssicientis longitudinis in coesticiens planum: ideo eria
lacera quaelica aequali dictabune inter se exce Au. Fxcecus maximi supra z crientem coel
sicientis longicudinis, cAto 1N. 1 O, aequabiturr, excessui quo criplum quadratum éxrien
ee coëllicientis longicudinis praestar plano coefhcienti 1I. Iraque tria latera erunt3, 23
RUNUS PTOPONATUELC = 12 9. f. 29N, aquari 18. Ouoniam 48 criplum quadracu
Erriente 12, majus est coetficiente plano 29: ideo r N de pribus lateribus porest explical
quorum summa 12, erinum sub iis rectangulum 29. Solidum sub iildem factum cont
nuc 18. Ouoniam aurem Colidum 18, adjunctum 128 cubo duplo crriente 12, majus ct
Colido 116, quod Er ab 4 triente coessicientis longitudinis in 29 coefficiens planum: ide
eria lacera guae sica inaequali distabune inter se excessu, ac medium quidem e minimuta
illorum deficiene a 4 erienre coëfficientis longicudinis. F.xceNus maximi (upra 4, eA0 1 L
Ouoniam 48, majus est 29, per 19. Solidum aurem 18, adjunctum 128, majus est (olc
116, per 30. IdeorC -19 N, aequabicur 30. EF HCFL N 5. Itaque maximum LatUS CFICG.
medium 2, minimum 1.
RUEIUS PEOPONATUEZC =18O. F 95N, aquari 126. Ouoniam 10B cprum quac
tum e crience 18, majus est coellicience plano 9s: ideo, N de tribus laceribus porest eh
Plicari, quorum summa 28, trinum sub iisrectangulum 95. Solidum sub iildem factula
concinue 126. Ouoniam aurem Colidum 126 adjunctum 432 cubo duplo écriene coet
cientis longirudinis, minus est Colido570, quod Er à 6 erience coeflicientis longicudih
in 9s coetticiensplanum: id eo cria lacera quae lica inae quali distabunt exceAu. e live mate
mum. sive medium majus eric erienre coëfticientis longicudinis. Fxcesus hic rel ille
cAto rN. Duoniam 108, majus eA95. per 13. Solidum vero 126, adjunctum 432, minu
eAt Colido570, per 12. Ideo 13N = 1 C, aquabItUF 12. EFHCEL NL, vel 3. Ltaque Z etic en
cellus maximi lupra 6. FCr excessus me dii. Iraque rria larera (UINF9, 7, 2.