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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 19, page id 898203430:0211
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DRDINATARVM POTENTIYM LIMIT. LIB. II.
P R OPOSITIO XXVIII.
Ocus Ordinatarum potentium differentiam inter re-
ctanculum sub data, E superaddita, quae sit ma-
ior quam dupla datae, (5 rectanculum sub coadditis; est ad
concauum Ayperbola aequilatere, cuius centrum sit
oecursus datae cum addita, semiaxis verd transuer sus
aequalis datae. 5 vertex in addita.
IT data A B, eique superaddica guaelibet A C maior ramen dupla.
A B, ita ve B C maior sic ipla A B, cui sumpta aequali BI, per
veritcem D, Circa axem DC Aac HIyperbo
la aeguilacera DE. Dico hanc ene Locum
propoluum, hoc eAt ordinatam C L. posse
disterentiam inter rectangulum sub data:
AB in superaddicam AC, e rectanSU.
lum sub coadditis AC B.
Disserencia enim inter rectangulum sub C A, CB, de rectarsum sub
CA, BD, vel sub C A, AB est rectangulum sub eadem C A MI L. D, 2 21. primi
quod requale est a quadrato C. L, ob Hlyperbolam aequilateram, ergo Conic.
CF porest praedictam differentiam, de hoc de alia simili quacunque ordi-
nata Xc. Ouare concauum huiulmodi Hyperbolae est Locus propetix Oi.
dinationis. Ouod erat _c.
PR OPOSTTIO
aed
LL e biile i Cones
Ocus Ordinalarum Pocehuum aifferentiam inier re-
ctanculum sub data in onam partem ex duabus ina
qualibus inteorantibus, s rectansulum sub eadem
data in partem reliquam, est ad concauum Parabola
vercens ad partem minorem, cuius vertex sit punctum
bisecans datam, rectum vero latus sit auplum datae.
 IT daca AB inaequaliter lecta in C, 8
Ld Pars minor sic AC, Sectaque A B bi-
tariam in D per verricem D, circa aXeM
D A Eac ParabOla DF, cuius rectum latUS
duplum sic datae AB. DicO iplam DF esse
Locum propolicum, hoc est ordinatam C F.
posse difterentiam inter rectansplum lub
data. A B in partem BC. ee rectangulum
C2
e