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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 89, page id 898203430:0117
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=117
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ORBIHATIONVM CONIC. LIMIEIBDSEIB.I. S9
Balim perpendicularis, exit quadrarum OA aequale rectangulo sub (O
in OE, vel lub dimidio ipsius iO in duplum OV, hoc cst (ub LCF in
rectum lacus (quod equale policum Fuit duplo OL.) sed ec quadracum
semiordinara CFI in Parabola aequale esta eidem rectansulo, erso a rI. primi
quadracum OA aequatus quadraro lemiordinate CFT in Parabola, dc Conic.
DEODECFCAramUS Contingens OA ad Circulum aequalis semiordinaca
C.FLin Parabola LF K: ec pari ratione ramus OC. aequalis semiordina.
tx CEN: ScdOF, FC lune xquales, ex constructione, ergo recte OII,
ONParabolam contingunt ad FI, NI, iplaque Parabola circumaveto b 33. primi
criangulo TTO N est inseripca.
Prxcerea, ex terminis diamerri B, D, ducantur rerticales cangen-
tes; quae Parabolam secene alcera in MI, alcera in l, HE, e lic alius qui-
CuinqueramuS OR, ec ex R ordinata, que Parabol_ occurraL in I,
diametro ducem in V.
Ononiam isirur ab oririne O externo termino axistrianguli cir-
cum (eripei dueti lunc ad C irculi peripheriam rami OD, OR, OA,
OB_C. Sc exhorum terminis D, R, A, B _C. luper BD CuncDerDen.
diculares DD, RV, AG, BBac. ec axis OCE sectus est bitariam in P,
Conic.
CTUNE QUAATAEA RAMIOTUM OD, OR, OA, OB ve sune ClINCR FD,   hvii
FV, F C7, F B, vel, in ParaBOlALFR, re lunequadraca Pemiordina- d 20. primi
TATUMDI, V P, CETI, BM ecC. Sed quadratum rami Oa aequale est Conic.
quadraro semiordinata CETI (nam ipse ramus eidem lemiordinate
equalis est, ve lopra octendimus) erro ec reliquorum quadrata, qua-
dratisreliquarum, sive ipsirami OD, OR, OB ad Circulum ipsissO-
miordinacis DI, VT, B MI in Parabola Cinguli lingulis aequales crune:
ec idcirco concauum huiulmodi Parabolae est Limes provolicae Ordi-
nationis. Ouoderacec.
R O+ L.
Amtectum est hinc rattonem distantia inter verticem Limitis, ec
V Citc ad anciam Mcer originem, ee verticem Limiris, hoc
esF B ad FO candem esse, sc rami minimi ad maximum, nempe
OB ad OD: ratio enim BF ad FO eadem est ac BF ad PCF, vel c 10. lnius.
ac BCE ad CiD, vel ac BO ad OD.
Vumhorum Limitum recta latera ae qualia sine asprexatis ex maxi-
Lmoeeminimoramorum, pacet iplos ed ampliores teri, quo re-
morior tuerir a Circuli verrice externa orixo data.
oponroxo roquori
et
ondenladaea e