# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0029
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0029?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 13, page id 845634801:0029
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=29
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.85
# 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.

T A
S A NI
R LD NT S
EA TIIHE, CAHOIMCIS DERCCDES ablOIVItUE. Verumtamen DEXsaL eK
emplificart equenriora aliquor opera. e lubnorari ea, quae incet-
um occurum compendia, ne Loristam deinceps anteactus similes
FEIOTENEUT. Flujusmodi TUNE qUX SEgLUNEE
Scilicet Addicionis. Subductionis. Mulciplicationis es Divisionis.
Qua laduneur capite quareo i sagoges, quibus innituneur sequentia theoremata.
P R O POSFFFO L:
DRopolitis eribus magnicudinibus extribere quartaM propOrtiONA-
lerri.
Exponancurrres magnitudines, Prima, Sccunda, de Fertia. Oporreat exhribere OunF-
tam provortionalem. Ducatur Secunda in Ferriam, ee Factum adplicetur ad Primam.
Dico igitur magnidinem ex ea adplicatione oriundam, seu alicer. patabolam este Ouar-
tam proportionalem. Prima enim illa ducacur in Ouartam, fet idiplum quod ex Secun-
da in Terriam. Leaque lunc proportionales. Sincisitur magnicudines.
Prima.
a quadita
A cabis.
Oplano.
Sccunda.
in C
DRopolitis duabus magnicudinibus exhibere Fertiam proportionalem.
Duarcam, Duintam; ec ulterioris ordinis continue proporcionales in
In AIIELLI.
Exponantur duxe maonicidines A, dc B. Oporreat extribere Fertiam proporriona-
lem. Ouascam, Ouincam, ec ulcerioris ordinis continue proporcionales in infini-
cum.
OOESTKCES SpecioCa doctrina quatuor, quae in Iagogicis expo.
DimeinD
B9. in C in DpI.
2 in A cubum.
FetCa.
LR OEOSFETO II.
Duo-