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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 256, page id 845634801:0262
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=262
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.82
# 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.

Y P P L E MI E N Y Y M
L F F F R
In dato circulo heptagonum aequilaterum se xequiangulum describere.
SIL datus circulus ABCDEFO. OPOETeE in ABCDEFC circulo hepCOM aGuI
rerum d aequiangulum describere. Exponatur eriangulum XguICLUTI LTLR HADCM
uerumque corum qui luntad I, I angulorum eriplum selquiesus ansu sue al f, 0
describatur in circulo ABC DEFC criangulum eriansulo FIIK equiangulum, de M 
li AB, DC, CD, AG, GF, FF, _B
c. F
ADF, ica ur angulo qui
dem qui est ad FI Xequa
lis CIF angulUSDAF, V
erique vero ipsorun qu
adL, R AE aequaliS ATC
que ADE, AFD. _ u
cerque ioitur AD L.
AED anguli DAF.
eriplus. GuarCuretq
arCUS AD, AE iPHS:
CiS DE est quoque It
plus, ec horum AD,
arcuum trientes c
ipA DE aECUI Lqu2I
n datocirc
Sunto igitur trientes
Sit hypotenus a 106, 666, 600 ansulo recluo Ver parcium, ita triansula rectaneula sepetitur
se habent.
Pragonum aequilarerum ec aquiangulum. Ouod Facere oporrebar.
90,096,88
o descripeum est he
sulorum ad bastn, A cubus, Pla i  Guiout tse tebibus L. Qualt  L ut A, equlatur Z. 6ub0. E1.
Abasis eju (dem eriangul.
Perreductionem vero Ecubus, minus Z quadrato 2L in F, aequatur Z. Cubo 7. EF fit E. Composita ex
base illius trianguli es eriente cruris.
Sie autem in numeris ZI. FLN. LC -2IN, aequatur 7.
PROPOSTFTO ZZV.
Es est Consectarium cenerale.
Generaliter id rerum elt, opere laltem alterurro, vel constructionis ala
cum medlarum continue proportionalium inter datas, vel sectionis angu
liin cresparies xquales, omnia Problemata, alio qui non Colubilia, explica
ri in quibus cubi lolidis, vel quadrato- quadrata plano. planis sinc adfectio.
nevel cum adtectione adRQUAREUF.
Enim.
Posito nempe Z. crure crianeuli aquieruri, cujus angulus ad vercicem sesquialter est utriusque an
Sit autem in numeris Z 1. AIN. TC F 1O = - 2N, aquatuTI.
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