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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 57, page id 898203430:0249
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VARTAR: DISPOSTTIONVM LIMIT. LIBER III.
EOPOSCILO.
Ocus, quem in isoperimetris par alleloerammis aequi
anculis ad communem anculum constieutis, atrin
sunt ipsorum anculi communi anculo oppositi, est
Locus planus, nempe recta linea, quae sit basis trian
suli aequioruris, cuius aequalium laterum summa
qualis sit perimetro onius ex paralleloerammis.
D illico manifectum sic ex lui converlo, ve sequicur.
Eco trianonlum quodcunque aeguiCTIre A B C, cui in eodem angulO
B inleripea sine quortibet parallelosramma B F, B II. Dico horum peri
metros, ee inter sC, ee summae lacerum AB, BC. aequales esse.
Ouum sic enim B C aequalis BA,
erie etium CHI aequalis C A, _DF.
aequalis D A; quare duo Cinul BC,
GFL aequaneur laceri BA, Pariterque
duo simul BD, DF eidem laceri B A,
ee lumptis omnium duplis, Perimeter
Paralleloerammi BFI aequalis eric du-
plo iplius lateris B A, nempe aequa-
sis duobus simul AB, BC: ac simili-
ter perimeter parallelogrami BF. Xe-
qualis duobus simul ijldem AB, BC. Ouod erat dc.
Frinc Locus, quem in expolitis parallelosrammis iloperimetris attingume
anguli communi angulo oppoluci, C Locus planus, qualis propositus fuerat.
Ex hoc lacim otensenda se prabet sequens
PROP3L1LC 1.
Soperimetrorum paralleloerammorum quorum libet ma
vorrodrdi es iitos cobtrtib.
M