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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 103, page id 845634801:0119
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.88
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AE OV A T XO N V H.
T H B O R E M A XI
ETA quad. = B in A, aquetur Z plano. A quad. quad. = v u 2 numm. - acovo in A
D. Plan. plan
lavo + B
Nec distimilis est ab ea quae in ancecedente Theoremare expolica est demonstrario.
Si 2 9 = 14 N, aquetur 147. 1Q Q = 20 C, aquabitur 9261.
Voono. Z nom 2 x quabitur
E H E O R E M A XII.
Nec dissimilis est ab ea quae in decimo hujus capicis Theoremate exposita est demon.
Arario.
Si2IN = 1 9, aeguerur 98. 15 C - + Q Q, aequabitur 2744.
C A PYF XIV.
Deductiva affectorum aliquoi cuborum ab affectis quadratis.
T H E O R E M a L.
2F A quad. - + B in A, aquetuF Z planO. B quad., 2 plano in A = A cubo,
aequabitur B in Z planum.
Ouoniam enim A quad. F B in A, aquacur Z. plano. Omnia ducantur in A. isitur A cu-
bus + B in A quad, aequabitur Z plano in A. Sed _ exiis qua propolica lunc, A quad.
aquacuEZ planO = B in A. Ouare ad(cira ca incerprecarione in aguarione cubica, ad ex-
primendum valorem Colidi B in Aquadracum, A cubus L B in Z planum = B quad in A,
aequabitur Z plano in A, de omnibus rire ordinacis, 2 planum f B quadt in A = A cubo,
aequabicur B in Z planum. ur est enunciatum.
Si 19 Y BN, aequerur 20. 84 N = + C, aquabieur 160.
T H E O R E M A II.
E2 A quad. = B in A, Xguetur Z. planO. A cubus = B quadr. - 2 plano in A,
aequabicur B in Z. planum.
Nec dissimilis est ab ca quae in ancecedenre Theoremare expolica est demonstrario.
Si 19 = 8 N, aeguetur 20. 1C = 84 N, aquabitur 160.
T H E O R B M A TTI.
M A = A quad, XGuCTF Z planO. D quade. - Z plmo in A = A cubo,
aguabitur B in Z planum.
Nec distimilis est ab ea quae inprimo hujus capiris Theoremate expolita est demon-
tracio.
Si 12 N = 2 9. aequerur 20. 124 N = + C, aequabitur 240.
T H E O R E M A IV.
S,quad. -1. B in A, XGUCEuE B in D. A cubuS F DF D in A quad, cqua-
bicur B in D quadracum.
Duoniam enim A quad. - B in A, aquacur B in D. Omnia ducaneur in A, igieuC A Cu-
b1S
10
cubum, aquabitur ono L Bquac.
TB in A = A
Zomostono stane