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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 64, page id 898203430:0256
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64
VINCKMTH VIVIANt DE LOCIS SOLIOB
ee addito communi quadraro DB.
erit rectangulum AD Li cum qua
drato D B, vel vricum quadra
cum AB aequale cribus D F cum
vno D B, hoc est duobus D F
cum vnico F B. Fadem ratione
_ quadratum A B aequale OItCN-
dicur duobus DF. cum vnico OB:
quare duo quadrata A B aquan
tur duobus L:D cum duobus DC,
vel rnico tanuim F.C cum quadratis F B, BC7. Ft hoc semper de quosiu
Dec huiusmodi eriangulo aequieruri. OLAre PATCE prOpOsITm.
Hinc liquido conctat Locum balium aequicrurium criansulorum superiis
expolicorum eAe ad concuuum Fillipsis qualem propolueramus. Quod dic.
 O R C
L L
Ine eruitur in FMpC, cuius axis maior possic criplum quadrati
n a minoris, aggregata quadratorum lacerum ilolcelium crian
EUIOrum, quorum vercices sine in cenro, bales vero ad maiorem aXCM
sinc ordinatim ducta, inter le aequalia eAe.
Ex superiori demonstratione pendet sequens
LO2STLLO XV.
Ouicrurium trianculorum; quorum accrecata
   laterum sint aequalia. menum est
aegutlaterum.
deM Masteibus, de demonstraris, in praecedenti figura ponatur aequi.
crure triangulum LB C esse quoque aequilaterum. Dico id esse maxi-
uns aeguetuuum ominium, quorum ummae quadratorum lacerum aequa
LeS HMC LIIIIHa Guacatorum F. B, BC, OF, laterum erianguli aequilareri
LBC
Ostensum est enim rectanculum F D A eriplum quadrari DE, sed in
CssaG auaterO P B C Ctia Guadratm AICICUAMIS BD ePIUM eIB
eiuIdem qudaTAEI DF, CTOO FECTANSMIUIM F D A aequatur quadrato BD,
ac ideo quadearum BA duplum eA quactari BD, quapiopier criansulum
BFD