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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 242, page id 175905688X:0264
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242
FR A N CES CF d SCH OO FE N
pro latere recto habeatr, pro transverso autem q: fiet per
rium Theorema i libri Conicorum Apellonii: X X Dr y - yy.
unde tollendo X X, restabit (s - V~ 1 2 2y - yy ∞ ry Y3
vel yy quy = quy + 900 -95)
aequale nihilo.) Frenim AD
lacere existente rectosr, eoque ad A G perpendiculari: crie,
Propter eriangulorum OAD, D FIF Similicudinem, ut G A ad
A D, hoc est, qadr, itaFIF seuM A, hoc CH, Y, ad FD, quae ideo
est -. Ouam si per FI F mulciplicemus, hec rectangulum
HIED D3. Dein-
de quoniam pex r3 cium
ProP. Imilibei Coni-
corum Apolloniire.
EtanGULUM NI AD,
minus rectangulo
EL F D, aquatur
Quadrato ex C M; et
quidem rectangulum
M A D CErV: Critre.
ctangulum M F vry
. Acque ideir.
co aequatio talis: ry - -  ∞ x x; hoc CA, r y -    ∞55 - vV
F2 py -yy: Guippe quod suniliter ipli x x est aequale. IIaeC au
tem aequatio ut ad superiorem reducatur, oportebit utrobique
pergmulciplicare, ut tractio eranelcat: Fietque gry = r y y ∞955
=qvv. L 2 qVy - qyy. Denique Facta eranspolicione, uc quan-
citates in ry duex unam teneant aequationis partem, reliqua au
cem alceram, dividatur urrinque perq -r, habebicurque
Cregu = 455 =900 -2quy + quy
y∞ 255- 900. + 2907 - 9r5
Caetera, quae huc spectane, inveniuntur incer lin. 2T. Pa5. 45.
ee lin. 9. P. A6: quae, cum lacis sine clara, explicatione non egent.
Eodem modo, si C. F. sit curva linea, per motum Parabola
descripta, 56.) Cum enim, propter Cimilicudinem eriangulor
VUI
quavonuum veriiio L
inet
oste