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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 16, page id 898203430:0208
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VINCENTII VIVTAMI DE LOCIS SOLIDIS
subduplum sit suo crantuerso. Dico Fyperbolam DF eNe Locum provOsi
cum: hoc CA, (I ex F ordinetur P B, haic posse summam ex quadrato data
AB cum quadearis partium, vel incegrancium, vel condcitarum AF, FB,
PrOdUCATE D C, cui aequalis TUMatUI C C, de per verticem C ErIR
Seac opposita Sectio GHI, cui ordinata FP OCCUIAE in H; Per centrum
vero C sIc C Y AGympTOTOS Sectionis D F, d per D su verticalis comin.
Bens DL. cum ASymptoro conveniens in L..
lam, quoniam quadracum C D porest selquialterum quadrati AB, quq
lium partium quadracum CD cst 6, talium erie quadraum A B, 4, d
AC, 1: ergo quadratum C D aequale eA quadrato A B cum duobus
Quadratis AC.
Ec quum recta D F. HIyperbolam Con-
tingat ad D, _ AlymPTOTO OccuTTaE In L,
L 3. secundi ip la DL. Pocerit a quarcam fSUrR ParTC,
BMIC.
hioc est rectansulum sub D C in semire
etum; sed huius duplum est quadracum
CD, (quum ip(a C D POSFa sic dupla le-
mircci laceris) ergo idem quadracum CD
duplum quoque est quadraii D L, ee 0b
triangulorum similicudinem, quadratum
IF duolum quadrati F C, vel aequale duon
bus quadratis F C: sed rectansulum HIF,
DEI. secun aquile est b quidrato CD, et eAt C D
et Cbu.
aequale quadraio AB cum duobus AC,
vi superius ostendiimus, ergo _ rCCTANOU-
Ium H PE quadrato AB cum duobus AC aequale est: quadratum verd
TF aequalo demonstratum fuit auobus CF, ergo rectangulum FTL F cum
quadrato LF, vel rnicum quadeatum F F. quadrato AB cum duobus AC.
ac duobus C F aequale cAt; sed duo AC cum duobus C F aequantur duo-
buS AF, FB: eroo idem quadratum F F. iisdem quadratis datae AB, et
Parrium Cimul A F, F.B aequale est: e sic de singulis huiulmodi ordinatis.
Ouare connexum descripiae Lsyperbola DF CA LocuS prOpOlIEX Ordinatio
BIS. Ouod erat _c.
ROFOSLLIO XXIV.
Ocus Ordinatarum potentium differentiam cet 
ctanculum sub data, es parte, (5 rectanculum
sub partibus, est Locus planus, nempe recta linea se-
mirectum ansulum cum data constituens ad occursum
datae cum parie assumpia.
Si