# Leibniz Legible — https://leibnizlegible.com
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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 89, page id 1047377675:0105
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=105
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000105.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.72
# 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.

quoque bk, a; qua  deceemo. exquolibet sen
Fran: a schorcen commeneariis in C arcesum pa9: 2F4) HIN
aib
piet
ficie
seb
REUII
ficit
ne
S
EU
miellipseos daca puncco N in aXem F T Ec perpendicularis
et e a
AYD, qux producatur verectam A Y secec in L
ER, C, 9 in ps B, 1 L _ elsiplem B FZ in R. ACRCCCZ
PHlaequalisrecrae lM, de iungatur lNN: maniteltum elt (ex
DA
CH
Iu
10
sc
00
DsC
IB
t
11
ad
1F
et
Bt
rsit
nA
At
normalicer secare tangentem ellipleos in punceo N. ob Cl-
lipsem FRZ de recrangulum ex Lemiaxibus FOZ Y, cuius dia-
IBCTEF CT, quAAEALUI RECEA CIr est aequale quadracisrecta
rUI R P) TS; CHIIQU RECFA LP, MP, OP, lincin eademracio.
nC cum rectis OT, RT, SF; erit quadracum receae L. P equale
quadraris recFEruM MP, OP; sed quodrocum recte IP equalis
CH quadratis recearum L. P, NP, ob ancenominatam proprie-
carem ellipseos; s ideo guadracum recce lP equale est qua
AFAEISRCCFATUM MP, NP, OP; Ped quadracum reCFE IP equa
de est eriam quadratis recearum OP, RP; de proinde quadra-
eArECEArUM MI P, NP, OP, sune equalia quadracis recearum
E P, OF; _ egusia auteren do, quadrarum recte I P equale
eIE QUAdEOTIS FECCATUI MP, NV, SCWHP, Ne, sed quacracu
rectEHN aequale est cisdem quadratis; _ ideOrecEX HN,
HP tunc egualeS; cumque hoc semper A.c in omnibus pun-
CeIS curus ellipeics EFF, mavitectum elt ex huius3 segmen-
cum ClipEiCUM L. WFRT esse equale superticiei erunci supee
CurHA F FT FCCEX a plARO PEr RECEaM F Y eranseunce, de in
ansulo lemirecro cum hals rrunci inclinance; de isitur cum
M
Gud