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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 360, page id 845634801:0366
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=366
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.85
# 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 ARFORDM DE REBYS NIAZHE M A FTCF8
eri ejuldem circuli, arcui aureM PB COnEruUS SnuS CADE, MMnidia roriuS CF. Sicigieur
AC parricularum 100, 000. calium AIEAF 50, 000, d CF 86, 602. ITaquE DF elL43.
301, CUL SnuI CONGEHIT ex CanOnC CirCUMFCrENEA LX V. Palcium cum besse parris unins
proxime, constiruro ansulo recto carumdem xe, leu cota Muterencia ccclx. Seprimi
aurem pals duorum rectorum continet parres xur cum guigue. seprimis parcis unius
Ouingue vero seprimae non mulcomajores sunc bese. Fu Isu Lircum Ferentia F.B an
plicudo anguli bene proximi seprime parri duorum rectorum. Panta aurem est amplicu
do angus F AB. Ouare anguli AFB, ABF continene ling prope rres seprimas. Itaque
unusquilque corum esprope criplus reliqui. Ouod erat oltendendum.
Tolceles triangulum constituere Mechatca ratione, habens unum
quemque angulorum qui lunt ad balin eriplum sCs.
Sub A centro incerrallo quocunque describatur cireus, in quo lumatur circumte
Eeneta BexaS On C. B. C.adat aurem in actam semidiam ete AB perpendicularis CF, d
300
aliqua Mechanica rarione (id c
nim non postulat Geomecria,
Agatur alcera Lemidiamerer AF
qua ita secer arcum C B in F; pet
pendicularem vero C F in l, e
cum subrendetur arcus FB, recta
IB, FB Cnt aqualeS.
Dicorrianeulum AFB esse iso
Sceles, ee habere unumquem qui
angulorum qui sunc ad basin ert
plum reliqui.
Cruraenim AB, AF LuNEXqUa
lia, cum sine semidiameeri ejul
dem circuli. Leaque anguli quo
que AFB, ABF erunE aequale.
lungatur aurem BP. Fiuncigitu
duo criangula rectangula ALF.
BIE, bales habencia aequales AF
EB; alcicudinem vero PE commu
nem. Ouare hyporenulx quo
que AI, IB sunxquales. Suntisi
cur ut lareribus sic _ angulis a
qualia eriangula AIE, BIF. Fc est
angulus IAE. aequalis ansulo IBF
aequalis. Angulo FBI addatur angulus IBA, id eAt F AB. Angulus itaque ABF, seu ei aqua
lis AFB, tir criplus anguli P AB reliqui. Aeque adeo consticurum est ABF eriangulum ia
Cceleshabens unumquem que angulorum ad balin eriplum reliqui.
EOR OL L A R I V M.
A (VMOyIGOV.
PlacCaL ACM na egNo N. El SdCICO PrOPONatuE canquam C COn
tricum, ScdFe Vera àouMoysoV
la OBL E Mt a IIl.
A II.
Duoniant ero constructae sunc aequales H1, +B. Ideo aneuli FIB, F B L sunc aequales. LM
traque h duplerur circum ferentia F. B in L, eric F B L. circum terenria hepragoni.
llolceles clatis ullim constituere, habensunumquem que eorum qui du
balin lunc angulorum criplum reliqui.
EndCOIS
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