# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 282, page id 845634801:0288
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=288
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine
# Lines: 74 recognised, mean confidence 0.82
# 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.

c
Iraque eAt ut CB ad BP.
ica C. D au D Xur quod
lub AB, CB 2d 1d quodHc sul
AB, BI 61S, ita quod AE suL
AV, CD 2d id quod ACB
AD, ODbIS. EF per Cynche
sinur quod Aclab AB, CB un
bis, id est, ad adgregarum qu
drarorum ex AB, CB minu
quadraris ex CD, DA, ica qu0
AE SuB AB, CB ad id quod F
sub AB, BP bis, id est, ad qua
draca ex AB, CB minus qua
dTaEO CX AC. X ica quod Hc lu
AD, CD ad id quod Ecsub AL
ODbis, 1d ett, aa GuaaLI Ex AC minu guXdTatISCX CD, DA. RCVOCatA aureM aC
aequalicarem analogia.
elanum quod fit sub primo es secundo latere ducatur in adgregarum quadrato.
rum tertiie quarii.
Planum concra quod sit sub tertio ex quarto ducatur in adere satum quadrato
rum primi ex secundi.
Summa dividatur per planum sub primo es secundo latere adiunctum plano suo
tertio es quarto.
Orietur quadratum diazonia quae lateri primo ex secundo, seureriio es quarte
subtenditur.
Sit AB2, CB 4, CDL, AD 3. Ducatur Din 10 C73 in 20, fiunt 80 ex 60, summa factorum 14
dividatur per 12. Oritur 22. E- quadrarum diagoniae AC, unde ipsa fit Y 12
RECum CBprimo numeratur ordine. Ducacur + in 13 ~ 6 in 17, funt 52 es 102 summafactoru
15 4 dividatur per 10, oritur 15. 2. quare diasonia fit V 15. Ducancur diagoniae altera in alceram qua
fiet aequale erit a 196, id est 24. Duanca eriam est summa plani quod fi sub binis oppositis. Porro
Data diaconia datur triangulum circulo inscriprum, quamobrem dabitur al
meter circuli. Est enim ut altirudo trianeuli ad erus unum, ita crus alterum ad al
Vetaec alibi expOSica SUNE
Sic, ue inprimo sasu, AB653
75, C.D65, DA9. Ononiam dia
Ronia AC data est 70, iraque dait
cur crianguli ADC crura D A, CD
65, basis vero AC 70. ideo daba
tur altiendo ejusdem 60. Sit autert
BR. EF quia est ut BR ad AB, in
BC ad BS diametrum. fiet ut 60 a
65, it a 75 ad 81 2. Ouare loneitul
BSerit S. =, hujus dupla est 162
aterianguli cujus basis esset 753 a
eudo 65, hypocenusa esset major 93
Cnjus vero basis 65. alticudo 9.
potenusa major esses ipsa ba sc 65. D
idieur illae hyporenusae essene majore
164, ab
cum eo quod Ac sub AD.
ad id quod Hc sub AB, BP bi
una cueo quod EE(uDAD, C
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