# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 72, page id 845634801:0088
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=88
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.92
# 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.

L LE TF COR V M
Sit primum triangulum 5, 33 4.
Secundum erie
Terrium
34,30, 16.
413 40, 9
Solidum subperpendiculis 4, 16, 9. ad solidum sub basibus 3, 30, 40 sehaibet ut quadracum abs 4 al
quadratum ab510.
Inrenire numero duo criangula rectangula, uc planum sub perpendicu.
lis, minus plano subbalibus, lic quadratum.
Exponatur numero criangulum quodvis rectangulum. cujus hyporenuta derur L.
balis D. perpendiculum B, ica camen urperpendiculum duplum praester D bal. Fr et.
Fingacur aliuderiangulum abs B dupla e D, vel iis similibus radicibus, et B in D +
adlignetur perpendicu-
lo. d generalicer Amilia
laceribus plana adpli-
centur ad D. Planum (ub
perpendiculis, mulca-
cum sub basibus. plano
relinquie D qu. vel aliud
Gmile B qu. prout radi-
cum cum ipsis B dupla
ec D cimilicudo opus
immucavie.
Solidum sub perpendiculis ad Colidum sub basibus se haber ut B g. 2d Z, 9. 4.
LEY F TICYM ZITI.
Iis576 dissere afacto sub basibus 495, differentia di quadraca, cujus radix est 9.
lis, adjunctum plano lubbalibus, sic quadratum.
Exponacur numero crianeulum quodvis rectangulum, cujus hyporenusa decur Z, b
sis D, perpendiculum B
ita camen ur per pendica-
lum B praectec ba(D du-
Plx. Ec ettingitur aliud
criangulum obs B _ D
dupla, ee B in D 2bis 2d-
signecur bali, e generali-
ter similia laceribus plana
adplicentur ad B. Pla-
num sub perpendiculis.
adjunctum plano lub ba-
sibus componie B qua-
drarum.
Sit primum eriangulum rectaneulum 15. 9, I2. Secundum erit 73,55, 48, factum sub perpendiett
E E Y E Y ZCV M XIV.
Invenire numero duo criangula rectangula, uc planum sub perpendicu
D
Su primum triansulum rectan sulunt 15. 12, 3. Esstoianeuio ab558 6, vel similibus 10
Secundum erit 61, 60, 12. Factum sub perpendiculis 396. Subbasibus 300. Summa 1296 quadra
ra, cujus radix est 36.
ZET.