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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 5, page id 898203430:0033
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VEL LIMET. ORDINATIONVM CONIC. LIB. L.
In sccunda vero ex L, FI, Ordinentur L. M FN.
lam, quadracum F. B ad quadracum P. A est ve lC.
micrantuerlum F B ad semirectum Hyperbolae LB
(quum lemidiameter coniugata P. P. lic media pro.
porcionalisimer lemilatera) vel verectangulum 2I
MB ad quadratum NL, vel ad quadratum NFI, e
quadratum F A ad quadratum L F, in Hyperbola
HIF, est (ob ealdem rationes) ve guadratum NEI ad
rectangulum ONF, ergo ex aequali quadratum F
B ad L F est ve rectangulum DMB ad rectangu.
Ium CNF, _ permutando quadratum F B ad rC-
Ecangulum DMB eAt vE quacratum FF ad rectan.
gulum GNF, _ componendo quadeatum F. B cum
rectanoulo DMB, SIHC TOTM quadratIM F M
(nam est DB secta bitariam in F, eique in directum
adicaa est BM) ad quadracum PF, cum rectan
eulo GNF, hoc est ad iocum quadratum F N(quum
itidem CF secta sic bitariam in P, acque iphi in dire-
ctum addita (ic FN) est ve pars, sive verectangulum
DMB, ad parcem, live ad rectangulum GNF, d ve
reliquum ad reliquumi, sive ve quadratum F B ad F.
I. Octensum eA igitur quadratuum FM ad FN,
vel quadracum II, ad UtI ve quadrarum FB ad FF,
dc propterea, ex latus ad lacus, lige lemiordinaca l Li
ad semiordinatam IHI, ve lacus ad latus, sive ve semicrantuersa diameter L.B ad
semicran luerlam EF, vel vecransuerla D B dd exansuerlam CF. Ouod erat dc.
1. 11 3
PROPOSITTO MI.
TEllipsis cum Fllipsi, vel Circulo, aut Fllipsis, vel C ireu
lus cum oppositis sectionibus, vel oppositie eum oppositis
fuerint concentrica, es per eosdem vertices eivsdem
transuer sa diametri simul adscriptae, rectancula sub or-
dinatarum. partibus inteerantibus a Sectionibus com-
 prehensis, sunt inter se et quadrata sermentorum com-
munis diamerri priori coniueate; ad quam ordinatae ap-
Plicantur, inter ordinatas; (s centrum interceptorum.
VIrca eandem transuerlam diametrum RB, CUM Codem OCnErO C, 
s per eoldem verrices A, B, sine Circulus, _ Fllip(ss vel duxe Elliples.
ve in prima ligurai live (ic C irculus, auc FIliplis cum oppoliris Sectionibus, ve
in secundai vel linc duo oppoluarum Sectionum paria ve in cerrias inter se
Funul adseripca, sieque omnium communis diameter C F. prioris A BCCO
niugaca, quae sectionem AHMB, in prima, et secundas lecet in D; i Tor
ia
s et A dos
em