# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 401, page id 845634801:0407
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=407
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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 0.87
# 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.

115 I
uod
erigint
REOTUI.
pn late
ericleeu
eoco
NC
RE SPONSORYM. LTBER VIII.
AEdoulvor T.
IR Y A N OVEY DL AN F R P CTA N GVLY
Datis angulis, dantur latera in partibus C. anOMis.
Cerpendiculum per simile sonui anculi acuvi. Bases, sinui reliqui erecto. Hypore-
Enimvero,
FX canonica serie prima:
nusa, simui TOTO.
EX serie secunda:
Perpendiculum fiet simile prosinui anculi acuit. BasiS, sinII EOLO. FEypotenusa
transsinuosae anguli acuti.
Vel denique,
Fx serie tertia:
sa transsinuosa ejusdem.
Vel etiam,
Perpendiculum fet simile sinni tOTO. Basis, prosinui anguli reliqui. Elypoten
Perpendiculum fiet simile differentia inter transsinuosam anculi acuri ex sinum
reliqui erecto. Basis. sinui acuri. Fyporenusa, prosinui ejusdem.
Terpendiculum fiet simile differentiae inter sinum anculi acuri ex transsinuosam
reliqui e recto. Basis, snui reliqui e recto. Hypotenusa, prosinui ejusdem.
Perpendiculum pet simile tran ssinuosae anculi acuri. Basis, transsinuosae reliqui e
recto. Hypotenusa adcrecato prosinus acuri es prosinus reliqui e recto.
Acdouor II.
Trianguli plani rectanguli.
Data hypolenula ac perpendiculo rel bale, dantur anguli,
V+ hyporenusa da dum eocum, ita perpendiculum ad sinum anculi acuti. Erita
Y+ basis ad sinum totum, ita hyporenusa ad transsinuosam anculi acuti.
et perpendiculum ad sinum totum, ita hyporenusa ad transsinuosam anguli re-
ITI.
Frianguli plani rectanguli.
Daris perpendiculo et bale, dantur anguli.
rebasis ad perpendrenum, ira sivus tOruS ad prosmum anguli acuri.
reperpendiculum ad basen, ita sinus torus ad prosinum aneuli reliqui erecto.
TRT AN-
Mixrim ex Caponis serie trina:
Tel.
Vel denique.
Enimrelocrie,
basis adsinum reliqui e recto.
Alicer erIE,
1
liqui e recto.
Enimverocrie.