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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 8, page id 898203430:0200
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VINCENTIL VIVTAM DE LOCIS SOLIIS
O RC
YInc Facile, collisitur (argumentando ex aqualicate) In Fyperbola
A quadraa ordinacarum ad diamecrum coniugatam esse inter le n
smuae quadcatorum à segmentis incer cenerum, et ordinatas vud cum
quadratis secundae lemidiametri coniusatae.
C
OT itague sumatur DL aequalis ipE DC, de iungatur IL, erie quades
D ann IA ad D B ve quadrata limul ID, DL, vel ve quadratum vnius
IL. ad quadratum L D, e latuS IA ad D B, ve latuS IL ad L D, et per.
mutando IA ad IL VE DB ad DT.
Ouod convenic cum positis, de constructis ad Prop. Xxxxii. libri quari
Pappi Alexandrini, adeoque de ex ostentis apparet in illius constructione,
super hac tamen tigura considerata, semper L. D perpendiculariter ductam
ex puncto emissionis L Tuper CF, esse secundam semidiametrum, ee DB
intra C F productam, habentemque ad DL. rationem datam A L ad IL.
este semiidiamerum transuerlam Hyperbolae B A.
PR O POSIF 1O ZI
Ocus Ordinatarum potentium summam ex rectan
sulo sub coadditis, (5 ex quadrato datae, est ad con
vexum Irperbolae aequilatera, cuius centrum sit punctum
bisecans datam, vertex vero ab hoc distet per semiarem
transuersum potentem subsesquitertium quadrati ext
data.
TT daca AB, cuius partes conddicae AC, BC, de lecta A B BITAFIAI
 in D ipsi erigatur perpendicularis D F. porens subsesquicertium que
craci datae AB, _ CII CCNIrO D, ac le-
miaxe cransuerso DF delcribatur Fyper-
bola aequilatera F F. Dico hanc eNe LO-
cum proxosium: hoc est ordinatam C P
posse summam rectanguli AC B, sub coad-
dicis, cum quadrato datae AB.
Tungatur C F: de quum Hyperbola SIC
aequilacera, ex constructione, Cxit DF aequa-
lis secundae Cemidiametri coniugatae: d
guum siC C. F. semiordinata ad eius coniu
L