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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 5, page id 898203430:0197
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ORDIHATARYM POTEHEEM LIMET. LIB. HI.
BAC cum quadrato AC aequale rectanoulo EAC cum eodem quadrato
AC, hoc est rnico rectangulo F C A, sive quadrato a Ordinatae C D, Ob 2 12. e
pximi C0.
Hyperbolam aequilateram: ee hoc de qualibet Ordlinata eec. Ouare COn- nic.
cauum huiulmodi Eyperbolae est Locus propoliae Ordinationis.
PROPOSTFIO VI.
Ocus Ordinatarum potentium summam ex quadra-
10 datae, C ex rectaneulo sub partibus, est LocuS
Planus, seu concauum peripheria Circuli, cuius cen-
trum sit punctum bisecans datam, radius vero possit
sesquiquartum quadrati ex data.
TT data AB vecinque secta in C, cui ex B sit perpendicularis, de X-
qualis BF, secta aurem A B BifarIaM in F jUHBAIUE F. L.
Jam constat (quum si B A dupla B F.) quadracum B A quadru.
plum esse quadraci BF, adeoque ee quadratim BI, ipE AB aequale,
quadruplum esse quadrati BP; GUaprOPECF
duo simul IB. B L, vel, viricum F Y
selquiquartum esse quadrari PB, seu qua
draci datae AB. Dico itaque, si cum cen
EOF, dc radio F. L Rac Circulus IF CY.
iplius circunterentiam esse Limitem prOpO
situm: hoc est si ex C ad A B ordinetur
CD, hanc posse summam ex quadrato data
AB cum rectangulo partium AC, C B.
Producatur DC ad C, de ex L a8acUF
TF datae AB aequidistans, DC sCcanS in FL.
Fic quum AB Per cenerum ducta perpendiculariter secet DC in C, crie
DC secta bitariam in C, de non bitariam in FI, quare quadratum CD
Porerit quadratum CH, seu BI, seu AB vna cum rectangulo OHD.
SIC FFI, Tiue ACB, ee hoc de qualiber ordinata ecc. Ouare huiuS
Circuli peripheria, est. Locus propoluae Ordinationis.
PR OPOSFTIO, VIII.
Ocus Ordinatarum potentium summam ex quadra-
10 datae, (5 ex rectanculo sub data, (5 parte, est
ad concauum Parabolae vereens ad datam, (5 cuius
vertex sit in termino praedictae partis per internallum
daiae aequale rectum vero latus ipse datae aequale sit.
2o
El