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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 103, page id 898203430:0131
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ORDINATIONYM CONIC. LIMITIBVS LIB. L.
203
HDB, HNB, vel ob F.slipEim R BL. vE ~ quacraTA DR, MN, quare 2 axi prims
e latera erume ve latera, sed permutando rnmus BD aequatur semiordi. Conie.
natae DR, ergo de ramus B A lemiordinatae NVM aequalis erit, d liC de
singulis, cum ramis, cum semiordinatis eec. Ouxpropter concauum huiul
modi Fllip(s KBL est Fimes proposix Ordinationis. Ouod erat _c.
Demum, quum DH ad HIB sIt ve C D ad GF, vel veD P ad BF,
vel ve DB, ipsi D P aequalis, ad B F, hoc est ve cranluertum datae PIIi
psis ad suum rectum, erit diuisim F D ad DB, vel HC ad BF, vel HB
2d B F, hoc est cransuerlum descripri Limiris ad luum rectum, ve D B
ad differenciam inter DB, BF, hoc es ve transuersum datae FIlip(IS pro-
latae ad difterentium suorum laterum. Ouod erat rieimo demonstrandum.
S C. II L
t
rum superius demonstratum sic D EI ad FIB esse ve DB ad BF, Si.
uc ve cransuersum ad rectum datxe FllipsIs, exit differentia inter
 OHI, e TIB, sive BD ad HTB, vel, lumptis harum subdu-
plis, erie FB ad BP, seu distancia inter cenerum datae Fllipsis, de orioi
nem ad distanciam inter originem, ee cenerum Limitis, ve dirserentia la-
terum DB, BF ad rectu BF: quare BI distantia centri Limitis a ver-
tice data Fllipsis, hoc est ab origine ramorum, est quarta proporriona-
lium post ires nocas lineas, disterenciam nempe inser latera DB, B F3 la.
cus BF; et lemicrantuersum BF. dacae F. Iipsis.
Inc, de ex vx. primi nolrae Divinar. in ApoII. constac inuentum L.
L mitem KBT. esse minimam Ellipsum datae circum scripribilium cum
eodem transuerso latere BFT, datamque Fllipsim esse maximam inuentx
inscripcibilium, circa cundem anem cranluerlum BD.
N
Nimaduertendum est insuper inventum Zimisem IBL aliquando
La esse Elliplim prolatam, aliquando oblongam, aliquando etiam Cir-
culum, pro ratione scilicet, quam habene latera DB, BF datae Fllipsis
prolatae.
Si enim rectum latus B F Fueric plus quam duplum rransuers BD, pri-
num accidet; si aurem B F minus fueric quam duplum BD, secundum;
Si tandem BF fueric praecise duplum BD, tertium CONTInSCL: guXe OMIi
Focili nesotio ex vicimo demonttraris eliciuneur.
e