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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 343, page id 175905688X:0365
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GOMMENTAREE EA LioNun III.
343
2IOFalIS: ZZ = 6Z- 266∞0, qua diridi poreAtper 2 - 26. 1
L.b = b6
b∞ 0, _ OrituT Z + 6∞ 0. Id quod argnie, Z valere 2c = b, sive
Z ut b et(C ∞ 2c, hoc est, HII e M Nlimul sumpras aequales esse
ip(IC B seu D E bis CUMPEX.
Ouare constat Theorematis veriras.
Si autem habeatur Z3. ∞ X- pZ. + 9. recula, cujus in ven- Y
tionem Cardanus esc.) Duo ca, quae de exprimendis radicibus
Aquacionum Cubicarum Autor hic breriter perstrinxie, cuivis
manifestiora tianc: vilum tuic post sequentis loci illustrationem.
atterre huc Appendicem, quam de Cubicarum Aquacionum relo.
lutione anno 646 Tinul cum Organica Conicarum Sectionum
delcriptione in lucem emisimus, de nunc emendato hic illic sensu
cum addicione quorundam subjunsimus.
Tlanc autem curvam in 6 diversis punctis secare potest, ib a ut 2.
hic sex diversaradices in Aquarione haberi que ant. At que cum
illam in paucioribus secat, hoc indicio est, quasdam ex hisce
radicibus inter se aequales esse, aut ipsarum aliquas esse tantum.
imaginarias.) Ouoniam hicnonnulli scrupulum sibi ipsis inji-
ciune concipiendis qui fieri postic, ut circulus aliquis hanc curram
in 6 diverlis punctis secet: haud absre fore credidi, s hoc loco
exemplum, quod sibi jam pridem ingeniolitinus Fluddenius, ad
difticulearem hujus rei e mediotollendam, subjecit, adducerem.
Ouocirca lumendo ad hoc aequationem , s -- 2Fy5 L 769y7-
67573 +24547) - 14647- F576∞0, Cujus radiCes, UE, 2, 2337
3, 4. e 8, luntomnes vera ac rationales, _ ex his dua, ut Z e 3,
ad calculiprolixicatem eritandam, inter (e ae quales : Oportet, ad
B∞
21
93 169
curra hujus descriptionem, assumere A B ∞ = P ∞ 20:3
BK∞V
= 4 = = PP CCU n ∞ N 472, _ F D vel Vide feura
8∞ 675 F V ∞ ZY~
6y ~
0216
P∞ 576
P48. 989
211239. Deinde, ut inreniatur cir- 100.
∞ F424 culus P C N, OpOrtet, accepta BL aequali F D ∞
+∞ 1464
9216
211239 allumere L. HID =nV∞ D V
721
4793 e ex pun-
VV
PF
Ao Herectâ perpendiculari FILD zun l un l annr v
id quod breritatis cauisa vocetur
pnd D
727
179 in circulo cujus
diame-