# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815206918:0012
# Permalink to this reading: https://leibnizlegible.com/page/1815206918:0012?run=74
# Title: Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi (shelfmark Leibn. Marg. 230, Stück 2)
# Folio 7, page id 1815206918:0012
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815206918&page=12
# Source image: https://digitale-sammlungen.gwlb.de/content/1815206918/jpgs/default/00000012.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.82
# 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.

OV ADRAEVEA
lati
DAcaisirur Perie concinue proportionalium lICal B. L. G. R, S. F, et c. da-
tilque lineis A V, AC angulum quemcumque continencibus Facile in line 
R C InVCNICHCAE PUIHCCd B, C, D, F, Fs G, et c. equibus educta BFI, CL, D, R.
FL. _C. aequales quidem lineis O, P, 9. dtc. singula Cingulis, parallela aurem ad
AV, terminentur ad eandem FErperbolam, cuius a(mptoci sInE AV, A C. nan
Si sumantur e linea A V recta; guxe sinc aequales, Y, SiR, O, P, O. ScilicCE AB,
AY)A C, AN, AB, RC. Deinde linea quaeiis A O altumatur quae divisa sC seCUM-
dum eandem rationem, secundum quam diuisa est A V in B, 7, d. X, co, ex punctis
auteim B y, d; N; co, Bponantur aequidistances recte AC, Similiter ex punctis B. C, D.
F, F, C crigantur linea qua aequidistent A V, concurlus harum parallelarum
alsignabunt puncta TIy perbolica II, I, R, L, M. IY: eruneque FIB, IC, RED, L. B.
MF, N Cn aequales rectis O, P, (, R, 5. I.
P ROPOSITTO
AdCM Agura allupla, CincruruS AV; AC aismpeocitiyperbola
LotIIK NN: a POHaNEUE BFI, CI, CN parallela aIYMPEOTO AV;
auterences quaedam legmenca hyperbolica HBC I, IC ON.
Dico quod ratio FLB ad lC toties mulciplicet rationem PC ad 11O,
quories siperficies FTB CI, (quam commodicatis pratia deinceps voca-
bimus superticiem FIC) continet superticiem lO; aut contra live quod
idem est. Dico quodrario LI B ad IC cories mulciplicata sic racionis LC
ad NC, quories luperticies HIC. continet luperticiem lG, auE CONETa.
I
DEmonttrationem vide l. 7. de Llyperb. PFop. 125  129. ers oc.
OP OSIFIO II
FIlac POTtis:
dic si linca AB, AC, AD, AF, AF, AC, eec. concinue proporcionales
Fuerine.
quaCACBOHCa DeL HnEaSLLB, lC, L D, dc.
alympro-
StHHICRTTB, TC, KD, LF, ME, NC, _c. Sinc GudMIdem FecI
Dico luperkcies omnes tryperbolicas tTC, CK, RE, EML, MC, ec.
  i. . .    .       i 1 . e  1 1. 1.      e  p . t .  1. 1 .     . . 1   .    t  u et    p ui