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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 70, page id 845634801:0086
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.87
# 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.

ferencia 1. Vnde A platu fet 3. Guo  lau DPo Telinquitur ; cum B plano, reliv
quitur I.
Invenire ametoaolaleta iub quibusquodtirplanum, addico ucriut.
que quadraco, lic quadratum.
Sit lacusunum B, alcerum A. OpOPTeE Ag. F B in A, = Bg. Equari quadrato.
Fingatur illud abs A- D et Ordinetur aquario.  quad. - B quad. x quabitur A. Vnde latUS
primum EcCmile B9. F B in D2. Secundum Dg. =B9. Duod surem sub iis AC, adje
cumueriusque quadraro est simile D quadrato- quadraco, = B quadraco. quadraco,
= B quadroro in D quadearum 3. F B cubo in D 2, F B in D cubum 2. Ip(a aUTEM
radix B quadrato, Y D quadrato, -= B in D.
Sie D2, BL. Vnum e lateribus est 5. alterum z. radix aurem quadrari compossis e singulis borum
quadratis ex plano sub laceribus, est 7: nempe 49 constat 25, 15, 9.
Lemma 2d sequens Z cFeticumm.
sunt aequalia eria solica a duobus lareribus diducta,
rnum a latere primo in quadratum secundi, adjectum rectaneulo sub late-
ribus.
alterum à latere secundo in quadratum primi adjectum rectaneulo-
Terrium ab laterum summa in ipsum rectanculum.
Sune duo latera B dc D. Dicorria Colida ab iis diducta esse equalia.
Primum abs B in D quad. F Bin D.
Secundum abs D in B quad. F B in D.
TCt abs B + D in B in V.
L L L FTC
et
Sit B planum 56, D planum 48, C Clatus unum, oriur Z latus alterum. Summa horum 3. dis
 = L L LIC Y H A
Id aurem inepede. Glottam linsula haec eria Colida Faciune B in Dg. +. D in B4.
Invenire numero eria crianoula tcclanoula, aequalis arca.
EF LZLCYM L l.
Perpendiculum peem etansuli, etto simile B in A 2. Basis vero, D q. L B id 
Secundi, D in Z. Bahs, B9. + B in D. Terrii, B + B in A2. BaIS, D in b.
D quad.
Areae igituTerE
RExe quales ex anrecedente LemmArE, neM
L D in B9. in A. Superestigitur ur planahrporenulis similia, sine rarionalia. AEVe
Bulae
ine B in Dg. inL
calia latera B d D polsune per ancecedens Zecericum eligi, ut B9. F Dg. + B in .
aequetur quadraco. Tale quadrarum, etto A9. tu plutatis  balis pet Mlespretacio
nem A9. = B9. SCula AG. Dg.. LerCI B + B glladrarum,  A quad.
A qu2