# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 371, page id 845634801:0377
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=377
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 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.
# 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.

dHeP
EUF Q
GrB; C
COMP
RESPONSORVH. LEBER VTTI.
Secundum, Cubus compoliex ex maxima ex minima, multatus adgre
Sato cuborum miniimX _E MaXIIX.
Tertium, Adoregatum cuborum e singulis cer duo decuplum.
Ouarcum, Cubus compoliex ex omnibus sexcupla.
Ostensum enim quoque est in Zecericis, Colidum quod sc lub quadraco minimae de
compolica ex omnibus lexrupla, adjunctum cubo eminima, aequari differentix intet
cubum compolica exmaxima e minima, ec cubum maximz. Icaque per cranstarionem
Tub concraria adfectionis noca, Colidum quod Er sub quadraro minimx ee compolita ex
omnibus (exrupla, aequar cubum compolrae ex maxima e minima, mulcarum adoreeatO
cuborum minimxe XmmaximX. Ouare cum ponitur minima, uc prima continue prOPOE
cionalium; compolica vero ex omnibus sexcupla, uc quarca. Latus cubi aequancis cubum
compolirae ex maxima seminima, mulcarum adoresato cuborum minimxe de maxima.
ver secunda. Fr cum singula illae proporcionales ducentur cubice, Rene quoque cubi illi
Proportionales. SEque quoniam Colidum quod fir sub minima _ quadTatO COmPOTIX
ex omnibus, aequarur adgregato cuborum e lingulis. Ideo cum ponitur minima vepri
ma quatuor continue proportionalium; compolica vero ex omnibus sexrupla, nE quarra
Larus cubi xquantis cer duo decuplum adgresarum cuborum e singulis, Hec terria. FF
cum lingulx illae proporrionales ducencur cubice, hene quoque cubrilli proporrionales.
Ec constarpropolitum.
Sieminimar, maxima 4. Summa omnium sexrupla fit 60. Et sunt continue proporiionalia soli
da, 1. 60. 3,600, 216,000.
Addatur ad illustrandum locum Plucarchi Platonica quaestione quaria, cum inquit
as reircor ∞ oes. Duos onrenrs revou  i uorada CBNaCCor ZiVE) Tr .
P R O POSFFFO XIV.
Si tuerine lineae quorcunque aqualiter sese excedentes, sit autem pri-
Ma excestui aequalis: octuxlum ejus quod sic sub minima d compolita
ex omnibus, adjunctum minimae quadrato, ae quacur quadrato compolitx
ex minima et extrema dupla.
Lincarum enim equalicer sele excedencium minima, eademque excelsuixequalis, sc
A; maxima vero D. Duplum igicur ejus quod Eer sub minima e compolica ex omnibus.
Exie D quadcatum, plus X in D. Octuplum vero addico minima quadtato, exit D qua-
ocarum quacer, plus X in D quater, plus X quadraco. Duo diplum est quadracum à bino-
miaradice D bis, plus Z. Icaque constatpropolucum.
Sit XL, D9. composica ex omnibus dupla erie 90. Teaque numerus crianeulus est 45. Cujus octu-
plum adsciscens unicarem us planum, favit , 6. quadracum a 19, radice composica ex dup la ip sius 9 e
unitare.
E A P V F Z.
Proore solthearum rectarum quae circumferentiis circult
subtenduntur.
N recognicione Canonis Mactemarici, ex unirertalium ad cundem in-
ectionum singularis bri (is enim inteliciter cdicus est annO 1579) FCpC
ari, ac in brerem Exicomen consesi Analytica Fere omnia quae pertinent
d seterale, quodaperut, mysterium angularium lectionum. Verumta
en Hc ctiamnum cM acilis e jucunda recordatio eorum Thcorema.
Cum, ebus prosrestio manitesta sc lincarum rectarum quae circumteren-
dis circuli subcenduntur commode deimceps per spirica diagrammata cum
Progrediencibus Arichmetice comparandarum.
TALb.
Primam, Cubus minima.