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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 107, page id 168608546X:0125
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=168608546X&page=125
# Source image: https://digitale-sammlungen.gwlb.de/content/168608546X/jpgs/default/00000125.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 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.

d0 7 D
E.Ao Colidum, ec. ABCD,
cuius lonsitudo BC, data
puncta F, _ F. Aio (olidi
ABC D reliltentiam in P
ad relistentiam in F in Cd
demesseratione, in qua
eAtFBadBF.
Secta enim BC bitariam in
punctoer, ductilque per
F, C, F planis crectis ad
BC, quae proinde crune
RectANBUILA TTIRL, NIN-
OP, ORST, quorum al..
cicudines TK, NO, RS, quoniam solidi ABCD resistentia in P
ad relistentiam in C in compolica est proportione ex rationibus
EB2dBC, GC ad CF, ee Ouadrati ex IK ad Ouadratum ex NO,
hoc est exrationibus GB ad BF, GC ad CF, _ FB ad BC, ruT-
cusq; quoniam resicentia in C ad resistentiam in P’in composita,
est proportione ex rationibus FB ad BCF, FC Ad CC, et Ouadra-
ti ex NO ad Ouadratum ex RS, hoc est exrationibus FB ad BC,
FCadCG, _CC ad CF, ereo solidi ABCD resistentia in F. ad
resistentiam in Fproportionem haber compolitam ex rationibus
EB ad BF, GC ad C F, FB ad BCY, FB ad BC, FC adCCC7, _GC
ad CF, sinc ex rationibus GB ad BE, EB ad BC, FB ad BC, vel
CG, GC adCR, FC ad CC, _ C7C ad CF, sublatisque rationibus
CBadBB, FBad BG, FC ad CG, e CC ad CF, vEpOTE pTOPOE-
tionem componencibus aequalitacis, eric ium resistentia in P ad
resistentiam in Pin conpolica proportione ex rationibus FB ad
CC, e CC ad CE, in cadem scilicet in qua eAt FB ad CF. Ou0d
crat, Etc.
P R O P. X X IV.
De Conoidibus Fyperbolicis.
Onoidis Fyperboliex parieti intire, ecc. resiltentia ad resistet
tiam in medio axi eiuldem verinq; tulex cam habet proxortio.
nem, quam Rectansulum ex summaaxis, e diamecri eransuer-
Exx Frperbo lae genicricis in basis diurisetrum ad Recrarigulum ex
sim a esansuersae didmstri, ec axis dimidium in didetrum cir-
d.d
O. 2
=1SCNFL CHII