# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0365
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0365?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 359, page id 845634801:0365
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=365
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000365.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Icacur in
ficist
meni
d
di
e
1Vd
ica leca
BAL
tiaC
1B
oiueltoli
RESPONSOEVM. LIBER rIIL.
3
diamerrum BAD concinuatam abscindat primum in l, contingenrem vero ablendat pri
mum in G, Ergo BLeslemi- circum ferentixe equalis ex BC rori. leaque quod her (ub BA,
BI eric aequale circulo. Ouod rero sub BA, BC equale ejuldem circuli duplo. Ouadra-
cum aurem ex ZS minus est circuli duxl0. Ouare SR minor eriripsa BC. Oux quidem
BOangir circulum. AbS B igirur porerir educi recta incidens in helicen in puncto LI, cir-
culii vero secans in puncto C, uE lic C H aequalis ip (IS R per viii. Archimedis reei enincor.
Educacurisitur, et secerur BC Bitariam in MI a diamCEEO L AN, _ junsarur BL. DicO
Ceomentum comprehensum à circumterencia BL. e recta qua ei subtendirur cse aequale
quadraco ex Z Z secundum ca qua in ancecedentibus expolica sunr. Daroisitur circulo
BCDN, _ quadraro a lacere Z. X, sectus es circulus a recta BL uE Segmentum minus X qua-
le sc quadrato ex ZX. Ouod erar faciendum.
Ouod h dacum quadrarum siE majus semicirculo, auterendum ericillud à quadraro
darum circulum aequante. de ita secabitur circulusur legmentum sc aequale illiresiduo.
Ouo seomento daco, reliquum circuli erie leomenrum majus quaescum.
Ouemadmodum aurem ea qua de quadraris dicuncur ad alias rectilineorum species
possinc crahi, evidens Ac ex elementis.
A P V F VTI
Ad descripeionem hepcaconi propositam a F. F. C.. Scholium.
DEscripcurus Fuclides in daro circulo pentagonum reguilaterum dE X
quiangulum exquilirie criansulum ilolceles, in quo unulquilque an-
Sulorum qui sune ad balin duplus esset reliqui. Sic ad in(criprionem hcpta-
Soni solet inquiri crian gulum ilolceles in quo unulquisque ansulorum qui
luntad balin sic criplus religui. Ouammethodum etiam lequutus sum in
Geometrico, quod anno luperiore edicum est. Supplemento.
Priplicem aurem hujusinodi constructionem extribet UnO COnteX-
EUF. F. C.
Primam GCometricam, SCdL VCEX tanTumPrOXIAM, non Ctiam 2C
CUITaTAM.
AIECTAM VeraI _E aCCuFatam, Led non CComCtHICalII.
Fertiam Ccometricam le d a ov m oysor.
Duassingulas lingulis Problematis luo ordinc ita expono.
P R OB L E M A I.
Lriangulum ilosccles consticuere, habensproxime unumquemque an
Sulorum qui sune ad balin criplum reliqui.
Sub a cenrro interrallo
quocunque AB describatuE
circulus, in cujus circumte-
rentia Cumatur BC accus he-
xagoni, e cadar in AB semi-
diametrum perpendicularis
CF, quae secerur bitariam in
Dpuncto, Per quod agAEUE
Parallela ip( AB, sCCANS AF-
cum CB in F, _ jungatuE FB.
Dico criangulum AFB esse
criangulum ilosceles habens
Prexime unumquem que an-
sulorum qui sune ad balin eri-
plum reliqui qui ad A verri.
cem consticuitur.
. Qualia enim lunE crura
F. AB, ae pore semidiame-