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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 67, page id 898203430:0095
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ORDINA LIONVM COMIC. LIISIOVS LIB. L
LOPOSTEIOMAdI.
N Parabola. Limes Ordinationis normalium super Se.
ctionem ductarum; est ad Locum concauum alterius
Parabolae sibi coneruentis, ac simul adscriptae, (s cuius
socus sit in verciee ipsus data.
ETY data Parabola AB, cuius vertex B, axis BC, ipsique in directum
 Posica sE B D aequalis quartae parci recti laceris daca Parabola, cui
per verrice D adscripea (u alia D P. F datae congruens, & cuius focus
eric punctum B C nam ponitur BD PAIS quarta lui recLI). D C0
luius concauum esse Limitem Ordinationis propolur: hoc est (i fuerit
quaecunque normalis ACF, _ per A Iu ordinata C F, hanc ipsI AC, aqua
Jem esse.
Ex A, B dueantur contingentes Parabolam AFL, BF.
Tam, in Parabola D F F semiordinata BF.
ex foco requaeur 2 lemirecto lateri, e ob FAN-
sentem A H axi occurrencem in II, CA II C
dupla b C B, sed CC quoque alticuo nOF.
malis AC, cum cidem semirecto sic aequalis,
dupla CA ipEiuS B D C quae posica fuie Guar 2.
Pais FCctI) erGO cota FTC dupla eAt torius D C.
quare ve subduxlum ad subduplum, ita duplum
ad duplum, nempe ve D B ad D C, vel ve
quadratum c BF ad C F in ParabOIA D F F,
ita exit linea CC ad C HI, vel ita quadea un
C C ad quadratum C A, in seric irium proporcionalium C C, G A,
CHI; Ec permurando quadracum BP. ad quadracum C7 C, ve quadratum
CF ad CA, vel linca BF ad G C, ve linea C F ad G A, sed anteceden.
tes sunt aequales (veraque enim aequa ur eidem semireco) ergo de con-
sequences, nempe semiordinata C L normali A C7 aequalis exit, de sic de
lingulis normalibus, a que ordinatis, ec. Guare concauum ParabolX DEF
est Limes propolira Ordinationis. Ouod erac, _c.
i. huius
35. Primi
DniC
c Tr. primi
C Onic.
Roducatur F C ad F, Si que recum laUS DR.
Jam quadratum corius FC aequaur d recrangulo CDR, de quadra d p1. primi
tU BATEIS AC reccanoulo e lub CB, DK, ergo reliquum rectangulum Conic.
E AL reliquo rectangulo BDK aequale cA, sive qurdrato P BF, Cive qua e ibidem.
90. lib. P  da.  M. c ddeilo commmuni quaar aO A C3 etil
Eccrangulum FAI cum quadiao AC, livernicum quadranm FC dimidia
COLIHS
draco sibi aequalis rectae C C, qua Patitet aegllatur sem recto per noltan