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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 344, page id 845634801:0350
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=350
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine
# Lines: 67 recognised, mean confidence 0.75
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# After the first blank line: the recognised lines in reading order, one per line.

0
L
c
v
parallelx exHne CB, IK aequales, ac aquales F:B, IHI, ex ideo KTadFIId es CBad EB,
erunc in ratioe daca S ad R ex constructione. Ouod sisese commitrane, commistur
ecto in L, erir lgiturur L. C ad L.K, ita L F ad LH, _ ica LB ad LI, d dividendo et pern
cando ericKLad FII, sicur CB ad EB, id est sicur S ad R. Onemadmodum oxorrebat.
Sic licer datis RHL, EIIuna cum peripheriis BC, CD, BD invenire peripheriam BC.
arque adeo EpocHASa limiribus, ac iplam diamerrum F.C in parcibus iplorum RFI, EI
Construacur enim criangulum BDC, cricisitur illud dacorum angulorum proprer datas
peripherias, d ideo dacorum quoque lacerum in parcibus diamerri FC. Ouare langu
lum E. BD daca in iildem partibus habebir lacera F. B, BD, una cum angulo FBV. L180 da
bitur angulus FDB ICUVBM, gu abtacus e peripheria BMD, relitquer peripheriam
44
BM, quae dupla est ipsus B6.
R OB L E M A II
Dato circulo, de duobus punctis in ejus circumferentia lignatis, invet
cum diamet ab  cxie dato aqualc.
diametrum, in quam, cum demicrentur a datis punctis normales, segmen-
In daro circulo BC, cujus A Cemrum, loata luneo duo puncta B, C. Oporteenvenire
diamerrum, in quamm, cum demicteneur a signis B, Cnormales, segmentum dVaLCCIS
pormalibus meceptum sic xquale Z daca. Subcendatur peripheria BC, e tiat lecta 
diamerer circuli, cuiinseribatur CD aequalisip sI Z. PCF CEnETM aureM A AGaTUFL. F dia
meter circuli BC, ipli DC parallela. Cum isitur connecterur BD her angulus B l
Aus. EEquoniam F. F, DC suncparallelx, secabit BD ip lam F F ad angulos rectos. Seca
in IE, X ip (i BK agarur parallela CI, eruntixitur CD. K l aequales. Daroigitur circulo-
et signacis in ejus circumterencia duobuspunctis B. C, inventa es diamerer F. F, 1 Eu
demistisnormalicer BK, CL, sc H L aequale scgmenrum iph CD, id est Z. daco. Ouodetu
Faciendum.
Sic licet dato aderecaro peripheriarum; es adereeato simuum, qui ad eas perit
nent, peripherias ee sinus distincuere.
Si quidem Aconsictac inera (IgnA R, I. Vel,
Data differentia peripheriarum. ex differentia sinuum, qui ad eas persiment;
peripherias ex sinus distinguere.
Si quidem Ksignum consistatinra signa A, I.
D R O B L E M a IV
Oalohecio, Lsnatis in ells cucumtereneia cribus puncls, inreni
punctum, a quo, cum ducentur tres linex rectae ad signata puncta, inclilla
buntur ex ad angulos datos.
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60