# Leibniz Legible — https://leibnizlegible.com
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# Title: [De Resistentia Solidorum Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis] De Resistentia Solidorvm Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis (shelfmark Leibn. Marg. 225)
# Folio 115, page id 168608546X:0133
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=168608546X&page=133
# Source image: https://digitale-sammlungen.gwlb.de/content/168608546X/jpgs/default/00000133.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.86
# 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.

dc.
P ROP. AA L.
Olici Fyperbolici verings Fulti resstenEie camdem habenE prO.
 Portionem quam Rectansula exaribus genitricium FIrperbo-
larum illormm daci Polidi seginentorum ad parres verricis, quae
planis abscinduntur per data puncta, ee basi Colidi requidistanti
bus in alternas longicudinis segmenta ad parres ba(IS.
F.Co (olidum, _C. ABCDEF,
cuius Dasis ABFF, longieu-
doCO, data puncta II,
alterne lonsitudinis porcio
ACs ad partes bass IC, et
OTI, plana per data pun
ata, _C. LMNO, PORS;
bscilta ex daco solido leo
HENta, eEC. LMCDONT
POCDSR, HIrpcibOL eO
rUI GenIErICCSMION, OCI
quarum axes tIk, _ HI. AiO
solidi ABCDFF resictentiam in EI ad resistentiam in Tin eadem
esc ratione, in qua R eCTANGUlUML CX FTK in IO ad Rectangulum
exkI in OFI.
Duoniam PlaNA LNNOS PORS Rectansula sune ParallelOgram.
ma aqualium basiutm ONT, SR, _ aleicudinum inae quaLiUIm MIN,
Pa. ereosolidi ABODEF relistentia in II ad relictentiam in I
proportionem habet composicam ex rationibus IC ad GTI, IC
ad CHI, _ Duadrati ex MIN ad OLadFAEIM ex OR, Rectanouli
Scilicer ex RFT in FTC ad Rectangulum ex LT in TC, hoc est exrA-
tionibus IO ad CFI, TC ad CTT, FIC adCI, _ FTK 2d KT, Sublatis
isicur rationibus IC ad CHI, _ LIC ad CI, vepOtEratIONe COM-
ponentibus aequalitatis, erie iam resistencia in II ad resistentiam
in Iin compolita proporcione ex rationibus lCr ad GFI, e FIK ad
HI, in eadem scilicec iii qua Rectansulum ex LLK in C L ad Rectan
sulum ex IK in OFE. Ouod erat, _c.
R