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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 164, page id 898203430:0192
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264
VINCENTIL VIVLAAT DE LOCIS SOLIDIS
est bilariam in D, eique addita est in directum DK) vel quadrato CF.
ac ideo latus AF lateri CxF aequale eric, de lic de lingulis normalibus, de
ordinatis Xc. Ouapropier comverum Ayperbolae D F. est Limes propolix
Ordinationis. Quod erac dc.
EOPOSITIO
LXXZCIV.
N Parabola. Limes Ordinationis normalium super
 ramos ex vertice ductos, es ad vertibalem tansentem
ordinatarum; est ad Locum conuexum Flyperbolae in
vertice Parabola centrum habentis, C5 aequalium la
rerum, vtrunque recto Parabola duplum.
CTT Parabola AB, cuius vertex B, axis BC, rectumque latus BD ipi
 in directum policum in BI, d cenro B per verricem Du adscripea P1
rabolae Hyperbola D F, cuius verunque laterum aequale sit ipsi LD, syse
duplo recti BD, ductaque per B concinsente BC de quocunque ramo BA,
cui sE nOrmaLiS AFT. DICO, E per A AC CA Parallela ad axem BC, ipsuS
Seomentum C F inter praedictam cominoen em BG, quae est axis coniu
Saus Hyperbolae DF, de iplam Eyperbolam intercepium, norali AH
aequale esse.
A purCtiS F, A, dUICANEF F F, AC
ipA C B aequ’distances.
Ec quoniam AII, in Parabola, nOF
malis est super ramum BA ex verrice
ductum, se est AC ad axem ordinata,
Coroliar. exic C H sequalis a recto lareri BD, dc
PrOP. 45. ideo quadra um CHI aequale quadrato
BD. Ouumque EIyperbola sic aequilate
ra, rectangulum LE D aequale erie qua
drato FF, sive quadrato A C: duo isi
tur quadraca Cinul HIC, C A, Cive vni
cum AHI, aequatur quadrato BD, vnd
cum rectangulo TED, haec autem aequan
tur quadrato BF (quum YD secta sic bitariam in B, eiguie adiecta M
DE) ergo quadratum AHI aequatur quadrato BF, sive CF, ideoque
normalis AEL aequalis ipsi C ti ordinatim ad tansenrem B C ductae et
A. P. Sc de singulis normalibus. de hruinlmodi ordinatis. Ouare ConuE.
rum Hyperbolae D F CA Limes Ordinarionis proposux. Ouod erat ec.
L. LB RL P R LM5
et
huius.