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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 68, page id 898203430:0096
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# Lines: 45 recognised, mean confidence 0.91
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huius
68
VINCEALHL VIVIANI DE LOCIS SOLIDIS
corius FL, aequale duobus simul quadearis CC, C A, vel vnico C A;
quare et latus lateri, siue semiordinata C P aequalis pormalis C A. OuOd
CTat, EiC.
PR OPOSI TIO X
N Ellipsi oblonea. Limes Ordinationis hot alcum
per Saectionem ductarum est ad Locum concauum alte-
rius fllipsis datae concentricae, ac simul adscriptae; qua
rum idem sit secundus, vel minor axis transuerso, vel
maioriconineatus: Limiris veroaxismaior, sive transuer-
sus, sit linea tertia proportionalis post distantiam intor
f0cos datae Ellipsis,  ejusdem maiorem avem.
TT oblonga Fllipsis data L R B, cujus axis maior, ac trantuertUS
 BD, minor, acque ei coniugatus AC, centrum F., foci vero L,
C, _ facta ve P F. Semidictantia incer, fOcOS ad F B semiaxem maiorem.
ita F B 2d F FI, sumptaque P P ipAI FH aequali, circa aXes A C, HIL
deleripra sic alia Ellipss datae concenerica A HL C I. DicO AHiUS, CONCA
uum ese Limitem Ordinationis propolitae.
Sic quaecunque normalis L. H, d Per
I ordinata NO Elliplim AHC secONS
in N, O, aXem vero in M: ductaque
per B verricali tangente P BO, _ PS
ipsi B F. Par allela datam Flliplim Secante
in R, iUnSAEUE RF, e F O, quae ordi
natam secet in T,
Jam (ob Flliples concentricas, de cir-
ca eandem coniugacam diametrum A C
linul adscriptas) est PS ad SR VE 2 F P
ad F B, Vel (ex LTy poche(I) ve BF ad FF,
Led permurando est PS aequalis ipsi B P.
in parallelogrammo PF, ergo de RS iplI
FF, de reliqua PP. reliquae B F aequalis
erit. led ipli quoque aequidistat, ergo et
RF, P B TunE aequales, Led RE Cemiordi
nata per focum requatur b semirecto EI.
rohuius. lipsIS datae ABC, er80 de PB, vel BO
cidem semirecto aequalis est.
Fic quoniam F. sliples A B C, AHC
sunc concentricae, de simul aderipea, circa eandem coniusatam diametrum
AC, e rectae PO, NO sunE in ipsS ordinata, cric rectangulum PBC
5.bnins. 2d NLO, ve c quadracum B F ad F M, vel in criangulo BFO, ve
quadratum BG. adt M F, vel ad quadratum MH, quae est alritudo nor.
malis