# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0091
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0091?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 75, page id 845634801:0091
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=91
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000091.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.81
# 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.

td
Aee
n.
10C
eM
vd
u
CHIS
elt
IB E X O
V
7
5
qualis. Enimvero aatumpes auobus laceribus B de D, illomajore, hoc minore. Lacus
composiri cubi Rc (imile B in B cubum - D cubo. L acus singularis primi cubi D in Bcub. , D cub
Secundi B in Bcabum = D c 502. Terrii D in Bcubum, = D cbo Evidens aurem est ex procesu
exiai, ue majoris adlumpri laceris cubus praester cubo duplo minoris.
Sit B2. D1. Cubus a radice 6 aequabit singulares cubos a radicibus 3, 4. 5. Cum icaque dabuntur
cubiab 6 N, e 3 N. exhibencur cubi abs 4 N P 5 N, ex horum summa illorum disserentia, erit aqualis.
ZETE FTCVM XIX.
Datis duobus cubis, invenire numero duos alios cubos, quorum diste-
FCNLIA XGUCELIIIIIMAM daEOFUM.
Sinc daci illi duo cubi, B cubus, D cubus; ille major, hic minor. Lacus primi quaeren-
dicubiB F A, secundi Bud. m A = D. Ex eformentur cubi de horum differencia compa-
rerur B cubo = D cubo, invenietur d Cdoi p abo aequari A. Iaque majoris quaerendi
cubi lacus exie D in a cubon + ocuo 2. Secundi v in vcabum. = D aba. EC horum difterenria
aqualis est B cubo F D cubO.
o= D cube
Sic licet invenire quaruor cubos quorum major rribus reliquiserie aequalis.
Enimvero ad sumpris duobus laceribus B d D; illomajore, hoc minore. Latus com-
poliri cubi sc simile. S in B cubum = D cubo 2. Lacus lingularis primi, D in B cabum L - L. D cubo.
Secundi, B in Bcubum =D cubo. Tereii, D in B cabum -D cubo.
Sit B2. D1. Cubus ab 20 invenieur aequalis singularibus cubis ab5 17, 14, 7. Cum itaque dabun-
cur cubi a r4 N es 7 N: exhibebuntur cubi abs 20 N e 17 N, es horum differencia summa illorum
erit aequalis.
ZE TE PTCVU XZ.
Datis duobus cubis, invenire numero duosalioscubos, quorum difte-
renciaxquer differenciam daEOrUM.
Sine dari duo cubi, B cubus, D cubus; hic major, ille minor. Lacus primi quaerendi
cubi esto A - D. Sccundi  quae in a -B, d efFormencur cubi. de horum differentia com-
d
paretur B cubo =D cubo, invenictur  in Bcuum 3. xgnari A. Itaque lacus primi cubi AC
Bin B cabit
Secundi BinDcobum - B cabo. ex hocum differencia, aequalis est difterencix B
cubi ec D cubi. Eodem opus recidic sprimi quarendi cubi radix AaEUaEUE B = A, Ce-
CundiD. 8q0ad. 1a
Stetcet Invenire quaruor cabos uc bini cubi sincbinis cubis aequales
Enimvero adsumpris duobus laceribus B e D; illo majore, hoc minore. lacus primi
cubi Ac simile D in Babum - D cubo. lacus secundi D in Dcabum - D cubo. latus certii
S in Bcabum + D cubo: LaTUS GUAEEI Din D cabum = = B cubo. Evidens aurem elt ex procestuo-
porrere B cubum ecli majorem D cubo, minorem camen ese D cubO 2.
Sit B5, D4. Cubus abs 252 8 243 aequalis est cubo abs5 ex 315. Cum itaque dabuneur cubi abs
3I5 N es 252 N. exhibebuntur cubi abs 248 N ex 5 N, es horum disferensia illorum differeneia erit
equalis.