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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 146, page id 845634801:0152
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=152
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 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.
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# After the first blank line: the recognised lines in reading order, one per line.

146
DE E M E N D A F EO N E
Traque C plani cubus =C plano in E. plani quad. + Z plano. plano 4. in F plav., e qua
bitur B Colido- Colido -r Z plan. - plan. in C plan. 4. P. planum aurem innorescar esse F. pla.
num. TBituE
XDI
N Eplani - C plano im A, X quabIEK A quadr. F F. planO =.
ErGi proponatur A quad.. quad. + C plano in Aquad. - B solido in A, aequari Z pla-
no plano. R adix plana estingendi quadracistaruerur V Eplam  eplano in A = 2 ao.  - e vt 3
comparanda F. plano Z. F A quadraro.
EF E proponatur denique B Colidum in A - C plano in A quadr. = A quadr. - quadc.
aquari Z plano plano. Radix plana eftingendi quadrari AatuCTUT, N Eplari - C plano
in A. 1-
Eptno comparanda F. plano = F A quadraco.
Ficicaque omni casu reductio qua imperara est.
Aclecurdum priorem quidem Formulam, ordinata lunt Pheoremata haec
T E E O. R BM A F.
Sccundum priorem Formula.
EF A Quad. - quad.  prato 2 in A quad. -t B Colido in A, XquetE Z
plano planio, d CGllad. cubus- t C plano 4 in P quadr. - quad. L. Z plano plano a
== Eplano. plano a iM P quad. xquetur B Colido-Colido. Innorelcar aurem L el
(CD: Aquad. t D in A, a quabitur B Codo =D quad. Z = C plano.
+O2, + 6. 9 i 88ON, aequatur 180O. _ fit LN2. 2C -+ 12 9. + 7236N, aquatuY
774400. fit LN64. quadratum a radise 8. 29. Y 8 N, aequabitur 20. fit LN 2.
F _ E O R E M A TT.
EFA quadr. - quadr. - +. C plano 2 in A quadr. = B Colido in A, XquetuEZ
plano. plano, _ F quad. cubus t. CF plano + in P. Quad. - quad. + Z plano. plano +
+ Cplano phano a in P. quadr., xquetux Bsolido. Colido. FF P innocescat esACD:
A quad.D in A, xequabitur 2 1ondo = D quad. Z = EplanO.
109 L69 = 880 N, aequarur 1800. fIt LN1O. 1C- F 12 D = 7236H, aequatur 77 4
400. fit L N64, quadrarum ab58. 1.9 = 8N, aquatur 20, fit LN 10.
F A E OR E N A TTI.
SF A quad. - quad. = C plano 2 in A quad. -+ B Colido in A, XGueFF Z
plano. plano, e P quad. cubus = C plano + in F. quact. - quad. . 2 plano plano L
 C plano plano a in F quadr. aequetur B Colido-Solido. FF P inNOTeLCaLeNCD:
A quad.  t D in A, ae quabitux  Cod =D quad. =- + C: plano.
109= 42. = 80ON, aequatur 1600 fit LN 2. 1C. - 8O + 6416 N, aequatur 640000.
fit 2N 64. quadratum abs 8. 19 + 8N, aequatur 20. fit LN 2.
T H E O R E M A IV.
CT A quad. - quad. = C plano 2 in A quad. = B solidoin A, ae quetur Z. pl2-
no- plano, e P quad. Cubus = C plano + in F quadr. - quadr. t Z plano. plan. 4
Eplano plano + In P quadr., xe quetur Bsolido. Colido. Ec Finnotelcat esse D:
A quact. = D in A, aquabIEIE ~ Caide =D quad. L- + C7 planO.
+20 = 4 9 - 80ON, aequatur 1600, fit 1N 10.
640000. fit Z N 64. quad. ab58.
2C -89 +  6g16N, aequatur
23 - 8 N, aequatur 20, 85 fit L N 10.
P H E OR E M A V.
SF PTaMUZ in A quad. - + B Colido in A = A quad. - quac., X GuCtuT L
platio. plano, e F. quadr. cubus = C plano 4 in P quadr. - quadr. = C ptono.
plano a