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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 94, page id 898203430:0122
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VINCENTII VIVLAHI DE LOCIS SOLIDIS
PROPOSITIO LV.
NV Parabola. Limes Ordinationis ramorum ab oriri.
ne inter focum, (9 verticem, est ad Locumm conca-
num EIrperbolae aequilaterae sibi circumscriptae, cuius
axis transuersus aequatur Modulo ex verticali, ver-
tex vero est terminus inferior Moduli. Centrum au-
tem distat ab orieine per semirectum Parabola, (5 ab
huius vertice per differentiam inter ipsum semirectum.
E5 ramum minimum, Fyperbolae vero semiaxis trans-
versus potest rectanculum sub semirecto in differen.
tiam inter ipsum, Cs duplum minimi rami.
Sto ParabOla ABC, CAS aXis BD, VerTeX B, FOCUS F, quos InTeL
 cadat A C balis trianculi circumseripri A F C, Sique N L. Modulus
ex verricali, invemus iuxea detinicionem xv. huius, e cuius cenrum P
_c. Dico, E per verricem L, circa axem L. D descripra sit Hyperbol2.
aquilarera L. G F, cuius axis trantuersys sic Modulus NL, vel cuius cer
trum (c P; iplam datae Parabolae esse
certis sec.
not. ~ 1
Aiat.
eHe Zimitem Ordinationis propola.
rcumleriptam, _ eius COnCAUUM
DuCaUE ex D alius quicunque ramUS DS, PTAUCI DB, qui est a mi
RIIUS, _ PEXTeF D A per ContaCtuM OrdinatMI, alC CX B, S ordi.
MentuT Q. RT, vique ad Hyperbolam producte I 2, 1.
Ex quoniam NI. ponitur Modulus ex verticali datae Parabolae ABC,
ee P Meculi centrum, eric quadratum semiordinatae D A, in Parabola,
b20. huiuso dguale b rectansulo PDF, Led hoc aequatur c rectansul L, 1
19. huI
adnum 3.
Clacralum quogue aa Paco Ecclati 1I. aequale CC. ad
in E) PCIBOla LL. C cum cd Hi aeguilatera, ett rectangulum NDL. aqud