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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 21, page id 845634801:0037
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=37
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 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.

N O F A P R EO R E S.
S1 Xlacus unum A, alcerum B. Op OrtCaE A. F B ducere in A quadracum, = Bin A, + B
quadraro. Fiar parricularis ductio, ex colligancur lingularia solida. Frunrilla A cubus
F Bcubo. Vnde
E H E O R P ut A.
QV0D Ac ex adgresaro duorum lacerum in eria lingularia plana, quibus constat
quadearum differencia ip lorum lacerum semel sumpra, aequale est adgresato cuborum.
 O N S E C F A R L Y M.
ADCRECAErm cuborum si adplicetur ad aderesacum larerum, oriuntur singu-
lariaeria plana, quibus conctar quadrarum difterencix iplorum, semel sumpta. FF per-
mucarim.
PROPOSFFLO AIA.
DTEFERENFTam duorum lacerum in quatuor singularia Colida, qui-
bus constat cubus adgresati iplorum laterum (emel sumpta, ducere.
SiT majus lacus A, inuS B. OpOTTCAE A - B ducere in A cubum, L A quadraro in
B, -+ A in B quadracum, +. B cubo. Piac particularis ductio e colliganeur lingularia
plano plana. Frun illa A qua deaco. quadratum, - -B quadrato. quadpato.
E E E O R F M A.
Or0D Ac ex differentia duorum lacerum in quaruor singularia Colida, quibus con-
Aac cubus adoregati iplorum laterum semel sumpra, aequale est disterentix quadcato.
quadratorum.
C O N S E C F A R + V M.
DTEFER EM ET a duorum quadcaro-quadrarorum E adplicerur ad differentiam
lacerum, oriuneur quatuor singularia Colida, quibus conctar cubus adgcegari laterum,
semel (UIPTA. EEpermUTaTiM.
P R OPOSF FFO XX.
A DOR E CA XV M duorum laterum in quatuor singularia Colida, qui-
=busconstat cubus differentiae iplorum laterum (emel sumpta, ducere.
ODORTEAF A F. B ducere in Acubum, = A quadraco in B, - A in B quadea-
cum, = B cubo. Fiarparricularis ductio, e colligancur sinsularia plano- plara. Fiune il-
la A quadeaco. quadcatum, = B quadraco- quadraco.
T E E O R P M A.
OroD Er ex adgregato duorum laterum in quaruor singularia Colida, quibus con-
Aaccubus disterenciae iplorum lacerum semel sumpra, aquale est differentix quadraro-
quadratorum.
OON SECF A RL V V.
DIEPERENZIA quadraro quadratorum s adplicetur ad adgrexatum laterum,
oriuneur quatuor singularia Colida, quibus constar cubus ditterentix lacerum, semet
TumPEa.
AliBd C O N S E C F A R + V M.
Ant eubus differentia ipsorum laterum lemel Cumpra ad quacuor lingularia lolida, qui-
bus constar cubus adpregaci eorundem lacerum, semel quoque sumpra.
Rb POSTTTO XXI.
Vx difterentia laterum ad aderegatum, ita quaruor singuraria Colida, quibus con-
STFFER ENETAM duorum laretum in lingularia quinque plano. pla-
letiet lumpra, ducere.
SFF lacUS MajuS A, mins B. OpOrFCAE A = B _MCCICM A GHIAOTACO. GUACTAIHII,
na, quibus constat quadrato. Glacalum adgresaci, iplorum laterum
+ A cuboin B, F A quadraco in B quadeacum, F A in B cubum, + B quad cato. q
drato.