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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 94, page id 898203430:0286
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=286
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94
VINCENTI VIVIAMI DE LOCIS SOLIDIS
Dico amplius, ec iplas quinque FA, FC, FGE, FD, FB, esle
in eadem racione continua.
Factum est enim rectangulum AV CF
requale quadraco radii R A, vel quadr2-
EO applICACA F C ; CrBO FRCSFA, PC,
FC, sune in quadam concinua ratione
geomerrica; led Criam trCS EC, PC,
FD sune in continua ratione, uri su-
periis monvimus, ergo AF, 2d FC
Cst, UE F CE, ad FD; ec permurando
AF ad F C+, vel F C ad F B, ob lemi.
circulum ACB, CA DE FC, ad FD;
e permutando, ec converrendo F C ad
FC, vel F C ad FD, UE FD ad FB:
RC DEOPECrCA quinque OMNeS E A, FC, FCE, FD, EB, SUNE COn-
einuae proporcionales; quas invenire propolicum fuit.
PROBL. VIII.
PROP. AAAKI.
Atam rectam AB, sic in duo sermenta dividere, ut in-
ter ipsa, tres mediae arirhmetica, ceometrica, ee Bar-
monica, sint in eadem data ratione, quae tamen non sit mi-
noris ad majorem.
NIDer datam rectam AB describatur Pemicireulus AC B, quem
D ad B cangAE B F. aequalis radio; ec data rario lic, ue _ B ad BF,
acque ab F agatur ipsi AB parallela ICE: constar hanc necessorio
occurrere Temicirculi areui in C7. PEXTCrCA ex CE Puper diaMetrUm
AB demircacur perpendicularis GFI. Dico punctum H quaelicum
Tolvere.
Ex poncto FI diameeri applicetur in Ce-
nicirculo AC B recta IIC aequalis ipsi BB,
sve radio Circuli, ulque ad arcum A CF, X
producatur CHI. ulque ad inferiorem semi-
circuli arcum in D. Jam, ex superius le-
Dius hucusque octensis, hae tres rectae IIC
TTCE, FID, conticiune eres medias arirhine-
ticam, geometricam, d harmoniean, inFer
segmenta ista AHI, IIB, Cuneque incer le
in una cademque continua ratione quadam
seomerrica; sed TTC aequacur ipsi BL, ex constructione, de TIC.
ipli BF, Ob paraIIClOSTAIMUM PTI; ergo eres hae medix lOnC in
racione data rectae P. B ad BF, adeog; data recta AB secta eAt in IL,
uri propolicum Fuir.
PRO