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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 95, page id 898203430:0287
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VARIAR. DISEOSTLIONVM LIII. LIB. III.
PROBL. L
Atam rectam AB sic inaequaliter dividere. et sa
rrium simul mediarum inter ejus seementa, sit aequalis
ipsi datae AB, sive sit aequalis summa extremarum.
lac constructio superior, ee tansens B F. Sumpta eguaIIS FACION
micirculi, secetur in I in ratione, quam Veceres divinam di-
Xere; itaut E. B ad BF, sic ut B F ad Eti, a completa constructio-
ne, ue in praecedenti. Dico, punctum II exhibere datae rectae A B
Tegmenta quxsica AFI, TIB.
FToc est, summam erium mediarum FTC,
FTC, FTD, aequalem esse tori datx AB, (I.
VE LUMIIR EXEFCIARUM ATY, IIB.
Nam TIC, ITCE, IID, quum CInE ereS
mediae inter segmenca ATI, HIB, IunE = II
concinua ratione scometrica; led eres quo
que BF, BF, LL, Cune in concinua rario.
ne seometrica, per constructionem; BF. ve
Ed aequatur ipsi TTC, e BF ipli FTCF; ergO
religua E E, aequacur reliquae FTD; Sed Tu-
ma Erium BF, BF, PP. aquatur duplo civsdem BP, sive ipsi dacx
AB, VeI TUMMX CXErEMAEUM AEI, HIB: ergo eriam Cummaerium
mediaeum EIC, ITCF, TID, aequatur ipsi dACX A B, SIVC SUMIE
extrCmaruM AII, HIB, incer quas illae lune media. Ouod Facien-
dum, et demonttrandum Crat.
COROLL A X1
TInc manifecte constat, quod si rario harum erium mediorum
 incer duaS exFremAS magnitudincs (quxe semper est aliqua
concinua seometrica) fuerit ratio divina, necellario quinque om-
nes esse in ipla continua racione divina.
2 Regregacum carumdem erium duplum semper esse media arich.
mecica.
3 Fc quinque omnium aggregarum, esse duplum segregati extre-
marum, de duplum quoque agoresaci erium mediarum.
4 Lc agoresatum quinque insonicudinum in ratione dirina esse qua-
druplum secunda magnicudinis, qux semper est media arichme.
riea inter excremas ex iplis quinque.
PROP. XXXXII.
ex CorOII.
PrcpOL. 21i.
cex 36. tviu