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# Title: Leibniz-Handschriften zur Philosophie LH 4, 5, 10
# Folio 67r, page id 00069349:0133
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J2 ouantice d infinimene orande, on dirilera tous les cermes de chacir
ne des crois Equations precedentes par le plus haut degre de cetre
quanciré d, sçavoir par d2, e on rejerrera tous les cermes ou la melme
quantiré d demeurera: de il riendra ces rrois Equations pour la Para-
bole, conformes aux rrois cas precedens.
2)
+ a Py ∞
t
= n P) d
P2)
Mlais pour aroir une Equation particuliere pour l’Elyperbole, de pout
chacum destrois casprecedens, il Cuftira de negliger les signes precedez
drno: e oait Lquations pour Lls ftoo de polt lolioto
cdo Picblultto.
APa
(4423 - 86825
+ + Pd 7
+2 d 2 P2-
d P
- + a 2 p a
Y + a Pd 2
Y 4 b2 p2
Y 2d2P2 -
+ dp3
- + a 2p d
4
Y 4b2P2 -
+2d2 P2
+ +d25  - 8b p25 3 + d P3 y2 - 2b d P3
F+32p2S
53 d= ab2P3.
Pour l’Elliple on Teclenetta les signes precedez d’un o, e on aura ces
trois Eguatiens pout lClliple et pour les crois cas precedens.
-2d 2 P2=
Y d P
= + a 2pa
4 ap d2
+b2P2 -
- 2 d 2 P2 -
+
4a 2 P d
Y 4+ aPd2
4b2 P2
-2d2P2 -
2
Y d P3 Ey2 - 2bd P3 5 ∞ = 4b283
4b2p2
- 8bdp2
- 8bap2
14 Fd7
+d25) 4 - 8bp 25Y.
- 8b dp 2
- + pa = - 8bd p d,
+4d2 57 4 + 8bp25)
1
- +pd2
++d25
Loou.
-8bd p 2
= 2 bd. 2P27
= 2 b d P 3 5V ∞ - ab2P3
-2 b d 2. p27
2b d P35y ∞ - ab2P3
=26a282
+2b d 2P2-
+Pd7
2 b d p3 5. N  ab283
1+u 23F+8bp257
+ 2bd2P27
B d P35Y ∞ - ab213
72bd2P27
Entin pour le Certke on lellenota bien lestignes preceder a Vi b3.
mais comme il a Con colté droit e Con colCEraVCTIANE CGAUIX CNETC CUIX,
les quantirez p ee d serone ausi egales entre elles : c’est. pOur quoy au