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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 610, page id 779782283:0696
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=696
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine
# Lines: 84 recognised, mean confidence 0.89
# 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.

G1C
P FX YSZCAE I R AOT ATVS HI.
Cupra dictum est, cuius exeremitas _E RVMI, sune aequales; SCd RVM,
non cadac infra C; dico FLK eNC RMV, Cune aquales, iritur et
balim quaesitam, ee maiorem esse FIDO, HIGD, aequales crunE; igi-
PEOPOETIONCM FL, ad F. D, vel quod cur habetur Cemicirculus FDC
idem est, FMI, ad F. C, quam vel cuius diametet eAt OF; (cd non po-
FD, ad EB, vel EO, ad FN, vel test duci sUPeF MF, circulus minor
quod idem est, FMI, ad EV;nempe TAnGenS MA, _ terminatus in F;
eju(dem FM, ad minimam GB, est alioquin eius centrum esfec, vel
maxima proporcio; igicur li inve. upra II, versus F, vel intra; non
niacur priuctum C, res perfecta et;
quomodo vero inveniri posit, re
dicamus dumtazat luperest.
Sexco re Agurarum confusio fu-
SiatUE, EEaduICaEUE EriagULUM EAM,
Cab. 2. 49. 53. cum lemicirculo, in crian-
oulum EAMI, cum Lemicirculo; di-
uidarur angulus AEM, bitariam
aequalicer, ducta FD, in quam du-
CaEuFDC, perpendicularis, dico
C esse punctum quaelirum; quod
breuirer demonstro; ducatur DFI,
reipendicularis in AD; Tum DL,
perpendicularis in MF; dico, quod
ex EI, Cemidiamerro IIC, delcribi
poceric lemicirculus EDO, cangens
primum; sic enim v. 8. in I; duca-
tur 15, perpendicularis in AMI,
qualis esse debet, VE AM eanGAE
circulum, cerre IS est maior LID,
igicur mulco magisIF; igieur ex I,
non porest duci circulus Per E,
tangens in S; idem demonstio de
omni alio puncto Cupra HI; non
Porest etiam duci ex vilo centro
infca FI; CiC enim R. Si heri porest,
ducatur RP, perpendicularis, in
AM, CeFEE R I Cs MINOEHID, est
enim ad HID, VE RM, adHM; ioi-
eur poriori iure est minor RF; igi-
EUL CX CCNErOR, non porest duci
circulus, tangens in P, per F; igi-
BtA, in D; nam cum anguli DEA, TuF CUPFZ MF, non porest duci le-
DEC, Sinc aequales, duo criangula
EAD, FDL, erunc aequalia; habene
enim angulos equales, et lacus
COIHUNC DF,S IBIEHE FL, d LA,
sune aequales; led ve IE; adFA,
vel EL, ita EA, eIEL, Ad EM;
item rriangula MVD, DAF, CunE
proporrionalia; isieur angulus
VND, cA aequalis AED, igituE e
angulo DE Miremque VR ML aequ2.
lis DHIC; REIPE AEV, AM TunE
aequales, vel idem angulus circum-
Ferencia; igicur _ anguli ceneri
agnales lune inter le, igieur VR
et DH Cune parallelae;isicur anguli
RVE, AIDE, sun aequalessigicur LID
2qualis EIEsICeIqNe YMR, DCLI
equales; igitur criangula GDHI
RY A our aequiongulasigirur _DC.
micirculus tangens MA, per B, mi-
NOLFDO; igicur non porek elle
minor diamemerer FC; igieur nec
maior proxorrio, quam CM, 2d
EO; vel quod idem est, F V ad F.D;
quod erat propolicum; immo nuI-
lus alius Pemicirculus, Cupea FMI,
qui vel rangae, vel (CceE AM, E sIE
minos EDC, vel non lecer, l lit
aior; itaque punctum D duplici
echodo facile habebis, primo han-
Sulu A F MI dividas Bitariam, ducta
scilicee ED; Secundo A P A, rraducas
in eL, ee crigas perpendicularem
L.D; punctum vero O facile habebis
ducta DC, perpendiculari, in DF.
Seprimo; hinc facile decermina
ri pocest balis, aduersus quam, ett
MBhIAIIN MOenEI, dato quo
libe
t1