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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 47, page id 898203430:0075
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VEL LIMIT. ORDINATIONVM CONIC. LIB. I.
417
quadratum P F distantix inter CentrUM, de FOCUM, ve crantuersum latus
ad ditterentiam lacerum, quoniam eres EF, F B, F. C. Tune 2 in eadem a ibidem.
continua ratione.
8. In altera denique, Eyperbolae: cum F G ad G F sIE ve tranuer.
sum ad rectum, erie E C ad F. F ve tranluersum ad summam laterum,
sed ve F. C ad P F ica est quadratum F B ad quadratum P. F. (quuM FC,
EB, F. F sine b in eadem ratione) erso quadratum lemiaxis E B ad b ibidem.
quadiacum L. F distatcia inter cemerum, et locum elt ve trantuerlum ad
luminam lacerum.
P R OPOSTTTO ZIV
N quacunque Coni-sectione centrum habente. Sermen-
tum diametri inter quamlibet ordinatam, ( tancen-
tem ex illius termino ductam, ad sermentum inter eun-
dem occursum, (5 alterum ex terminis transuersae dia-
metri, est et seementum inter ordinatam; (9 reliquum
transuersa terminum ad semitransuersum latus sua
Sectionis.
Sto AC Coni-lectio Ayperbolae, vel Lilliplis, cuius trantuertum la-
 tuS Sic BD, centrum F, de ad diametrum D B F Ordinata sic Guae-
cungue AF, ex CuiuS terIInO A (I COnTINSCNS AC dIMCtYO OCCUTTCNS
in G. DicO FD ad D F esC VE FC ad C B.
Verunque enim rectangulorum DFB, L. P C ad idem quacratum AF
lia, ac proptered D l’ad lL ettMt det LB, a Per Comertonem Conic
racionis in prima, e lecunda tigura; componendo veio, per convertio-
nem rationis, e convertendo in cerria; de convertendo, diuidendo, a
convercendo iccrum, in quaita, eris L. D ad D F. Vc F C ad GB. Ouod
exaC, eC.
eA ve etrantuertum ad rectu: quare IIa SCCTNSUIA inter LC T ud L 
PFIMI
C20.