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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 84, page id 898203430:0112
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=112
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84
ductus sic ad AB quicunqs ramus DA, iplIque HE erectA HOLMaHIS HK, sale
Lemiorainate C I aequalem esse, ac itag; tIyperb. IB esse Limitem propoliium.
Producatur IC, quae regulatricibus occurrac in F, FI, acque ex verri
ce D Eic D N recto lateri B E aequalis, ee parallela, sUnsacurque NB,
quae producta cum YC conveniat In M, aEque ex G aBAEUF C L ipsIS
DN, BF aequiastaNS, ex F vero (. FO parallela ipE BC, ordinatam
ICO sCCaNS I 9, X ex F sIC F T ipSi F ET parallela, quae FO secet in T.
Jam, quum ex constructione (c FB, Ciuc ND cum D B ad DB, vi
DB ad BC, diuidendo erit ND ad DB, vel L G ad GB, VE DC ad
eandem G B. ErSO GL, CD sunc aequales.
EE GuOnIAM K C CR alciindo normalis A R SUIPCF FAMUI D A ex verti.
ce Sectionis OppOluIX DR ductum, acque cA N B M regulatrix Section
nis DR, exit alcicudo R C
43. tuius. aequal 5 2 ipsI C M.
lnsuper, quoniam B C
ad C M CI VE BD ad
DN, vel vi DB ad BF
ipsi D N aequalem, vel
VE F 2 ad OF (ob trian
Gulorum similicudinem)
Iu que anecedenes BC,
F Ooppoliex in paralle
logrammo B  aquales;
ergo de consequemes C
M, O F aqualeS CFUNE;
sed ve OF ad FH, ita
est OT ad TF, _e BC ad C D C ob similicudinem tam triangulorum
TOF, CBF, quam erianeulOrum F. OF, D BF) ee eAt C D ip A OL
aequalis, ergo de OF ad FH est ve B C ad C L, vel ve BD ad BH,
vel ve DB ad BF, vel VE F. O ad OF. Si isitur eAt FO ad Q F VEOF
ad FHI erit rectangulum sub exremis EO, FHI, Cive sub BC, FH
aequale quadrato medix OF, vel quadrato sibi aequalis C M, vel CK,
qu. bus si aequalia addantur, rectanculum nempe sub B C in C F addacur
b22. primi rCclansulo Tub B C in FFI, e quadratum semiordinatae C A, quod ipsi
L OnIC.
rectancuo BCF est aequale, b addatur quadrato R C, Aec rectangulum.
cibidem. BCFI, HCc quadra. um Semiordinaca CI, in descripta (Iy perb. BL, aequa.
le quidraris simuI R C, CA, vel rnico normalis AI; ideoque semior
dira d CT ipsi normali AK est aequalis. Ex Rc de Cingulis _C. O IarC CON
cumum Hyperbolae IB est rimes Ordinationis proposicae. Ouod erat _c.
dC. HL
et
VINCENTM VINALM DL LOLA BOLIDIS
Lhac, _ praecedenti apparet, Limites Ordinationum normalium (u
 Per samos (lam ex retuce vinus oppolicarum Sectionum, quam ex
Vir. ice alerius) ductos, esse ad concaua aliarum Sectionum oppolicarum.
quarum rectum lacus eAt idem, ac dalarum, cranluerlum vero est cadem
cercia proporcionalis post summam laterum datarum, et cacum exantuersum.
D