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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 322, page id 845634801:0328
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine
# Lines: 74 recognised, mean confidence 0.83
# 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.

32. 2
AD A D R. REOM A NL P R OBL P M, A
Oux Theorematia licer in infinicum eadem methodo extendere. de pertinebirvise.
simum secundum ad aequalicarem expolicam quadease quinculectionis de vixinci iribu
terminis explicabilem, quorum primus est
Sinus duplus anguli subquadea gequinrupli.
E2. Sinus duplus diftereneix incer angulum lubquadrasequineuplum, et quadeasesimam
GLIHEAMI PAETeM dUOTUM RECEOruM.
AEI. Sinus duplus anguli compoliri ex angulo subquadeasequincuplo, de quadragesima
quinta palle quacuor rectorum.
IV. Sinus duplus anguli composri ex differemia praedicta, dt quadrase sima quinea quo
que parte quatuorrectorum. F.R aurem quadeagelima illa quinta pars parrium octo
quae angulo subquadessequineuplo cuiris, ac difterentia inter cundem, de quadta
gelimam quintam partem duorum rectorum, id est parres quatuor, potest addi ut
undecies, alceri decies, nec compolicus angulus rectum excedic. leaque Hc Let
minus.
v. Sinus duplus anguli composiri ex angulo subquadeasequinuplo, de parribus XV L.
Vr. Sinus duplus anguli compolici ex difterentia praedieta, de parcibus quoque XV L.
vir. Sinus duplus anguli compotiri ex angulo subquadrasequincuplo, e partibu
Z. Z
vinI. Sinus duplus anguli composuci ex differenria praedicta, ee parcibus quoque
X X
7.
1X. Sinus duplus anguli compolici ex angulo subquadeasequinruplo, ee parribus
ZXZ II.
X. Sinus duplus anguli composui ex disterentia praedicta, e parcibus quoque
ZXXII.
Xr. Sinus duplus anguli compolici ex angul0 lubquadragequincuplo, et parcibus X L.
XIT. Sinus duplus anguli compolici ex difterentia praedicta, ex parcibus quogue X L.
XIIT. Sinus duplus anguli compolici ex ansulo subquadragequincuplo. et parribl
XL VIII.
XIV. Sinus duplus anguli compolui ex disterentia praedicta, et parcibus quoque
XLVIII
XV. Sinus duplus anguli compoliri ex angulo subquadeogequinemplo, de parribus
XvI. Sinus duplus anguli composri ex differentia prxedicta, ee parcibus quoque L. V L
eric. Sinus duplus anguli compoliri ex angulo subquadeose quincupio, e parcibu
L.Z
XVIII. Sinus duplus anguli compotiti ex differentia praedicta, d parcibus quoque
XIX. Sinus duplus anguli composici ex angulo subquadrage quincuplo, e parcibl
L. XXII.
Xr. Sinus duplus anguli composiri ex difterenria praedicta, et parribus quoga
L. XX IL.
xc. Sinus duplus anguli compolici ex angulo subquadrasequinruplo, de parcibu
L. Z
a
EXIT. Sinus duplus anguli composiri ex differentia praedicta, et parcibus quoqua
L L L L
XXILI. Sinus duplus anguli compolri ex parribus L. X X XVIII angulo Cub quadtasc quila
cuplo, vel ejus a parcibus LV disterentia. proprer hanc enim ve lillam ad dicionem pan
rest. X__LV rectiansuli amplicudinem non excedent.
qlob B clo Loman Lroblema Responsum ex-
plicirum esto.
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