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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 16, page id 898203430:0044
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VINCENEM VerAA PRO LOCIS:
PROPOSITLC
L  ado
TConi-sectionem, vel Circulum duae rectae lineae con
tineant ab extremitatibus axis (qui in Fllipsi sit axis
maior) quibus tertia lateraliter sectionem contincens dc-
currat, atque a sectionum centro ducta sit ad axem ordina-
ta aliaque a contactu: si haec ceciderit in sectionis focum.
sermenta axis ab eadem abscissa, sermentis verticalium
tansentium sibi contiruis a laterali terminatis aequalia
erunt; (9 quae ordinatur ex centro vsque ad lateralem se-
miaxi pariter aequalis erit.
Si vero ordinata per lateralis contactum céciderit inter fo-
cum,  verticem sibi proximum, sermenta axis sibt
contiouis verticalibus tancentibus minora erunt: sed or-
dinata ex centro sque ad lateralem maior semiaxe.
Si aurem per contactum ordinata ceciderit inter focum; (9
centrum sectionis, praedicta axis seementa praedictis ver-
ticalibus maiora erunt; at ordinata ex centro ad lateran
lem 2(que minor erit semiaxe.
Atsi in Fllipsi, propositus axis fuerit minor; quae ad ipsum
ex centro ordinatur 2 sque ad lateralem maior est semiaxe
minori, quae vero ordinatur ex lateralis contactu abscin
dit seementa axis, quae sibi contisuis verticalibus contin,
sentibus minora sunt.l . s. dii. ere 
Sco ABC, vel Parabola, ve in prima figura; vel Circulus, ve in lecun
Lda; vel Elliplis circa maiorem axem, ve incertia; velFyperbola, ve in
quarta; veltandem Ellipls circa minorem axem, ve in quinta, de quarum.
asis sic BC, Vertex B, cenerum O, ee lemiaxis coniusatus. OM, cui aequidi.
AenE BF, GHI ab excremitatibus axis ducta, qux sectionein verticaliter con
. pum tinsane 2 de sic alia quacunque lateralicer sectionem contingens ad A, rerti
CalibuS OCCUrreNS in F, FI; reCtA aUFCI A D, quXe ex ConFactU A OrdinatE
transeat primo, in Parabola, per lectionis focum. Dicorerricalem tanoen
cem BF seomento axis sibi contisuo BD aequalem essc.
b r. huius 2. Ouoniam enim AD est lemiordinata exfoco, eric ip(a AD recti la-
2. Coroll. teris dimidium, b duplac autem sesmenti D B, cuius duxla est quoque recta
P. AUIMS
Lex 33. pri- F D. Ob a TaNSCHLEI AF, ergO AD, DF sune aequales, idcoque e E. B.
mi Conic. BF, siue EB, BD aequalescrunt.
2. Sivero ordinata AD concipiatur incer tocum, de verticem Parabo
lae
CO1IC.