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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 241, page id 175905688X:0263
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=263
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# Lines: 32 recognised, mean confidence 0.89
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GOMMENZARLE EN LIDRUM II.
24. F
enim cum eadem quoque sie rationi, quae est inter duos Conoi-
des AB C _ F. B F (quandoquidem per 23 Prop. de Conoidi-
bus _ Sphaeroidibus Archimedis Conois quilibet Parabolicus
selquialter esse probatur Coni, qui eandem habet balin cundem-
queaxem cum Conoide): patet portionem AF FC ad Conoi-
dem EBFFore, ut b + =c+ ad c+. F. quibusporro, ut supra, in-
C+ X
venitury D p+ f bBCC hoc est, invenco H, centro graritatis
Conoidis AB C, ad obtinendum K, centrum gearitatis portio-
nis A F FC, Faciendum esse ut B FTSE ad HIK, SicuEb + L bbCC2d
c+, seu, quod idem est, ad D B _ G B quaerendam esse certiam
proportionalem L, atque deinde faciendum ut B FI sIF ad TTK, (IC-
ut summa iplarum DB, C B ad tertiam L. Ubitandem, (i ad iplum
punctum Fhabendum Catuamus, ut ante, b ∞ c, inrenietur Y ∞ = X.
Ouodiplum docet diametrum B D in 3 aequales partes esse diri-
dendam, acque pro B HI carundem lumendas esse duas. Atque ita
dealiis.
Sit CP linea curva, oporteatque per punctum C, 8xc.) K
Oux hâc line a se lequentibus ulque ad pasina seguentis lineamr
25 continentur, in genere reterri debent ad illa, qua deinceps ab
Authore afteruncur ulque ad pag. 44. quibus in specic agit de na-
cura quarundam currarum, quas, poltquam ad aequationes redu-
xic, deinde hasce aequationes cum alia comparat, nempe py-
Cy- = eC ∞OaUFZZ
-2f
= f∞0, aliare qua ex hac vel illa sIE
Compolita, ut inveniatur eandem quantitas incognitav.
Quemadmodum si C F. est Ellipsis, in qua M A sit sezmen- 1
tum diametri, ad quam C. ML sit ordinarim adplicata, quodque
Pr