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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
# Folio [70]v, page id 00066634:0140
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 84 lines, status machine
# Lines: 84 recognised, mean confidence 0.75
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Urle signa potus
quam literas
E.
biguus
adlublae trans
im
lat
ca use
ilem copositionum.
sit Rectangulum Ellipsi Hy
recta
lam comprehendo, velut
Hypertolaeve inscitatum, (sub hoc autem nomu
ms
lateris transversi infiniti) ita scilicet ut
parubo
latera ejus
axi aectunguli ejus, ED. GI. axi _ sectionis parallela sint, centrum
autem Rectanguli idem cum centro sections Figurae. Unius autem figurae
nomme etiam duas oppositas sectiones comprehendo Esto latu figurae trans-
versum AB. rectum A RH duos vertices conjungens transversum RH.
ex puncti curo.
cus ducatur parallela quaelibet X ducatur perpendicularis axi 2 , XYL
56
occurens unperpendiculariter lateri ED in Y, et lateri G1 in . jam
recta DY appelletur Y, et recta XY appelletur X. inveniatuius valor
rectangulorum (DZ et LXL. EDY e By - y et LRZ, A dx F X
1
2
- y
,v.
fiet:  e 4.
fietqu
MI
va+
EAV
dty - 3
ejus lace poni potest: Et quia
fiat b
2
Qb
sue
v + YqV + qv
P
4d b
67 - bV
-Byi
v2 + Z9 V
6
et pro substimendo =
-b  Y
et  Xot b p7 g.
Ley -y
v2t = qV + qV
b
Jam pro Y substituatur  ts 5 -d. est autem dpus  labus transversum
edumiduata
latus transversum
figurae et rectanguli lacus it ut in Ellipsi latus transversum sit majus rectangulo, in
Hyprbola contra.Est a. latus transversum t. et rect au DElatus rectanenl
-b
fuit d4
s, vel dgr vel e. erit ergo d
,vel dq
b
Z
F)=e, vel
erit dr =t == e. ponendo +. e. Y. quantilates positivas
D) 
XPY Z + F Fe vel erit y5 + Z + tC
fiet ergo.  Y( 5. (id est BM) - (1
L 2
C
et pro _ V, ponamus WV  XY seu v ponamus: 2 X M - Y M, seu W - ZM
seu W-
no W sulstituam S2rs+
gga
6 + 9. fiet ergo. W, VH W - Yq
sirtem v ers +Y. 2. 4 
C
2
et
-4
E