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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 65, page id 898203430:0093
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=93
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ORDIHATIONVM GOMC. LIMITBVS LIB. I.
P, erieque P A normalis a pUnCtO P suver Sectionem B A; ductaque ex
A ordinata AN ad coniugarum L. R, de producca vique ad occurtum cum
procracta DFF in O, erie PN alcitudo normalis P A, quum dico ordinatae
NO aequalem esse.
Nam quum CF, C F aequales sine ostentae, eric HC ad CF, vel PA
ad AF, vel PN ad NET, vE IIC ad CF, vel, in similibus criangulis
ETC F, ONHI, ve ON ad eandem NH, ideoque PN, NO incerse lune
aequales. Duod candem erac demonstrandum. Guodque veriticulur cliam
in Circulo.
LL lit  AadLaCa.
N Parabola alcicudo C. F aequalis est semirecto laceri B D per Coroll.
LnOSrX prop. 90. lib. prim. de MaX. & Min. cui xe quatur quoque C P
in paralleloorammo CD, CrgO CF, CF sunt aequales.
In Fyperbola aucem, ac in FIip (I HC ad C F ell, per Coroll, ter-
tium eiuldem noltrae propolicionis ve transuerlum Sectionis ad rectum,
vel ve semicranluersum HIB ad semirectum BD, vel ve eadem HIC. 2d
CF: erBO CF, C F sunc aequales. Ouod, etC.
Acile hinc ervitur rectam E. DO per centrum EI Sectionum ductam,
ele eam iplam rectam, quae ducitur per idem cenrum, et per pun
ctum M terminum semirecti lateris, qui ad SCMIAXEM COMUSaTUI HK OFu
dinatim applicatE ex vertiCC R.
Nam quium sic ve DB ad BFT ita FTK ad RM, Sique D B semirectum
transuersi BR, BHI vero semitransuersum, de HI K lemiaxis conuSatS,
necessario quarta proportionalis R M erie Lemireccum eiuldem conugaci,
ve constat ex Conicis Elementis.
Ouapropter eadem recta linea F. D HO est Limes Ordinationis altiru.
dinum normalium, tam ad axem transuertum, quam ad coniusatum
CdCl2.
L Colleute altes Hau Luper Seccionem ductarum esse intet
se ve legmenta axium inter proprias ordinatas, et centrum Sectionis du.
ceas, atque homolose sumpras. Fluius enim ratio est quoniam omnes
Ordinatae inter Secrionum azes, e Zimitem DFTM Ordinacionls alcicudi-
num praedictarum normalium (quae ipsis normalibus demonstratae lunc
xquales) lune icer le (ob criangulorum smilicdinem) ur praedieta
duium Legmena.
Licitur quoque in Coni-seccione centrum habence, vel etiam in
PrOpO.