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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 249, page id 175905688X:0271
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=271
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GOMMENZAeES LA LIoRUMIL.
InUS = = a X ∞
249
. Hoc est, diridendo ubique per v, ee mul-
ciplicando perr InVeNICEUITX N =aY D = b X, CeUIX X ∞ = b x F aY.
Duae estaequario primi calus quadratarum pas. 6 ec 7, admirtens
unam reram radicem, quae est b- L V bb- L ar, ee unam FaIPaI,
Teuminorem quaim nihil, quae est b = V bb L ar. Sicut ibidem
annotarimus. Cujus utriu sque ulus porro hic elesanter elucet.
Nam si ad ducendam OC, asumpea NB aqualir, hoc est,
∞ lateri recto Parabola, super toca A B describatur lemicirculus,
Secans ONproductam in D: erit ND ∞V ar. Oud polit a ab
N2dF, si junGAtur OF, ericipla ∞ V bb F ar. AC proinde (i
centro O interrallo OF circulus describatur, Secans NO hinc
inde productam in punctis C, 8, delignabit NC rerum ralorem
inventum b L V bb = ar, d Nevalorem Falsum b = V bb L ar.
Unde ducendo ex punctis C, s rectas C C, 8c, ipsi AMI paralle-
laS, donec Parabolae OccurranE: obtinebuneur duo simul puncta
C, cin quibus rectae ex O ducenda eandem contingent.
Similimodo in reliquis sectionibus est procedendum.
Esto C F. prima Conchoides reterum, cujus Polus 6, norma N
vero vel recula, cu-
jus ope ducta est, sit
AB; ita ut recta omnes,
quae tendunt versus 6.
atque intra curvam
C F e rectam AB cOn-
imentur, (Ut AF, LC.)
sint aequales. Oporieat
autem rectam lineam
ducere (ut C P), quae
Conchoidem hans ac
anculos rectos secet in
dato puncto C.) NO.
candum hic, quod, (I
per praecedentem me
ehodum quaratur pun-
Ctum
In Conchoi-
de