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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 79, page id 845634801:0095
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=95
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 87 lines, status machine
# Lines: 87 recognised, mean confidence 0.80
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

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LEBER OV E N FVS
elizendo a quibus lingulis quadrato dempro Z plano, Fociane quadratum, urhie faciune
B quadracum dx D quadracum, e erie omnino expolicx equarioni locus.
Sit Z. planum 40. F 7. C 11. fic B3. D9. Sumatur H24. fit A6. Primum latus +3. Se
cundum 6. Tercium 23. Factum ex primo in secundum est 43 es dempeo 40 relinguiur 9. nume-
rus quadratus, cujus radix 3. Factum ex secundo in tertium est 12T: es dempro 40 relinquitur 8
numerus quadratus, cujus radix 9. Pactus ex primo in tercium est = 3 2 ex dempto = =, id est 40.
relinguicur 42 C3, numerus quadratus, cujuoradiv 
L L L F FC V M IX
Invenite numero crianculum rectangulum, cujus area adjuncta dato
Plano ex duobus quadratis composito, conticiat quadeatum.
Sic dacum planum Z. planum compolicum ex B quadraro ee D quadraco. L.Airigacut
criangulum rectangulum. abs quadraco adgregaci lacerum B, D, _ GHACLAED MIILETCNEIX
corumdem. Frpocerulaigicur similiserie B quad. quad. 2. + B quad. IW D quad. 12- + D
quad. quad. 2. Basis B in D in Z planum 8. Perpendiculum B + D quaatalo in B = D qua
deacum 2 Adplicenur omnia ad B + D in B - D quad. 2, Hec area Similis = nno
Adde Z planum, quoniam B = D quad. + Bin DZ EquatuE B quadrato + DquadracO,
id est aequacur Z. plano. SummaerieZ purostamm. Ouadracum a cadice  oli
Sit Z. planum 5, DI, B 2. Triangulum rectanculum erit
hujusmodi Area36 id est 20. adde 5. Summa fit 25, C1-
jusradix est 5.
Invenire nutiero triangulum rectansu.
lum, cujus area dimminura dato plano, con-
ACIaE QUacLEaEUM.
Sic datum planum L. planum, alIECEB IN DZ, L eHAnSaEuE errangulam reCtanoulu
abs quadraco adgresaei larerum B, D, de quadrato diffFerenia corumdem. Hyporenula
isicur limilis erie B quid. quad. 2 -= B quad. in D quad. 12. + D quad. quad 2. Balis B
quad. in Z planum 4 D quad in Z planum + Perpendiculum B- r D quad. in V
quad 2. Adplicecur omnia ad B- r D in B - B quad. 2. Fiet atea Girril15. ui  . + B qurd. in Z olan.
Auter Z. planum, quoniam B quad. + D quad. = B - D quad. valet L planum. R eliIL.
quetur quadeacum à radice Z oumi
Sit D 1, B5. Vnde Z. planum 10. Triangulum
rectaneulum erit hurulmodi. area
10. Pelinguetur3 5 564 quadrarum abs radice 
seu .
ZE FE FTCVM XI.
E TELTCVM L
in b
chrenire numero triangulum rectansutum, cusus ale cunurum da-
cum planum, conticiac guadratum.
SA AIIII Planum L Planum, alicer B in D2. Flnsacur Marom eclatsum
2b5 quadcato adgresaci laterum B =L D de quadrato differencia corumdem. Hypo-
renula igicur similis eric B quad. quad. 2 F B quad. in D quad. 12. + D quad. quad. 2
Balis B quad. in Z planum 4. Y D quad. in Z planum 4. Perpendiculum B - D quad.
n B - D quad. 2. AdplicenUE omnia 2d B = D in B- ~ D quad. 2. Fiet area Cimilis
. Demacur ex Z. plano, quoniam B v D quadeacum = B quad.
ad. vutb In D2. Relinguerur
quadeaum à cadice; o
 Se v qual. 1