# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0207
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0207?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 201, page id 845634801:0207
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=207
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000207.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# 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.

ficienspt
sic, b
M
F2H
qu0
anteriora prorumpene, consuleius Faciene plerumque, ne dirisiones FENArA LInE. AC runC
non aderegarum lumerur Factorum. led difterentia. PFOPONaTUE LC,- F 64N, aequari
2024, ordinaris ad opus, urars post derolucionem exigic, fguris, nimirum
64
1024
Ouoniam radixplani 6+, ur quadrari, eA 8, à qua cubus 512 ablarus e r02 4, relinguir 512.
cujus cubicaradix est 8: Ldeo sumetur radix 8.
PROB. LEM A XII.
i Dato in numeris cubo adfecto multa Colidi lib quadrato _ data co-
eficiente lonsitudine, latus analytice elicere.
PEOPONREEL C, O, aquari 24,580. Ouxritur quanra sc magnieudo LN, radixre
Propoliri adfecti cubi.
Ex cuboigiturr+, 580 negare adfecto sub quadrarour eliciantur latera, idem arguen
te Zereh erir omnino procellus, qui in analy i cubi adErmare adfecti, nis quod in diri-
honibus acrendirur iplus coeffcientis lonoicudinis ex regularium in cubo puro divi-
lorum differentia, non eriam summa, ur in adFecto adErmate cub0. Fr cum elicita Cinou-
laria lacera ducuneur in idem coëfhciens planum, ipla rerolarera in planum explecionis,
Colida quae inde hune sub conorua sede, qualem ratio multiplicationis exigie, delivencia,
quxe quidem in cubo adErmare adfecto lubducebantur, addentur proxosito nesare ad.
lecto cubo, velauterencur Colidis ablariciis. Vein paradiemace.
Paradiema analyseos cubi adfecti sub quadrato necate.
Coëfsiciens longieudo
I. Eductio lateris primi.
subquadrarica.
Torpuncta quadratia quot cubica.
O Fot numerales circu
N. 2. Inquos puncta cubica
ZE S Z A FY NE R E SOZ Y FTONF.
adfectis sub lacere adtirmate ( urantur L. ogista, quando praeserrim coefficientia plana in
Ablaiirium
Solida prostaphaterica
AddiI
Excessus solidi ablaririt
aegau resorrenut ausecbt bu
TTEdi
Divisorum
pars superior; M
Planum expletionis à coeffe
ciente in duplum lateris pri
Coessiciens tongicudo.
Reliquum resoldenur auselbe
Divisorum (Triplum quadr
pars inferior eris primi
LTriplum latus primit
bessus avisorum inseriorum
2. 4. 49 Matera oc Sitob vuron.
6. 8. 343
ateris primi
Alateris primi quadrato in coefficientem
Solida