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# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
# Folio 226, page id 79876922X:0724
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226
DE INPESTICATIONE
quorum rationem tamen. ansuli determinare
debent, deserat. Vcamur isitur divisione. Cum
vero diritionem lacerum de ansulorum iisdem
rectis Factam utrobique partes dirersis Casi
Dus aguales e inaquales designare jam in prae-
cedenti deliberatione cognoverimus, nihil sub.
Tidii per hanc divisionem obtineri posse facile
praelumimus. Cumque nec im Compositio
ne nec in Divisione tentata, spessitauxiliiocten-
sire demonstratiri; cerctabimus ablurditatem
oppolici Colicitare, Tupponamusq; latera nibilo-
minus inxqualia subesse, licet ansulisint aequa
Je5. Ouod h demonstrarerimus. ab surdi quip
piam favere, certum erit oppolicum, latera nimi
rum aequalitatis ratione niti: OLaPFOpTeF (IC
latus AB, majus latercC. A. Suiberatratur ipsius
A B. totius aliquanta portio AD. uc residuum
DB. Sc aeguale laceri A Cirdicaturque DCi. Ou0-
niam I B. aequale A Ca. _ B C. communis utri-
que, d Elus B =CIOC: ATum DBC. erit = 1ID
AC. B. Sed cum Triangulum DB Ci, tanquam
pars, non poslit aequale esse Triansulo ABC,
tanquam toci, per Axiom. 9. etiam D B. nOn PO-
ceric esse aequatis ip(r ACi NTam ABD. SIC = ip (I
AC Cum BC Sit ucrique communis, e Lli B = C.
perhypochelim, Triansula DBC _ A C B. et.
Cenexqualia; Parstoci. Ouod est Absurdum.
Contemeim habene aligui tranc rationem de-
montrandi Vericacem, pra ostensira, eo, quod
velctane, ipsius oltentirx Demonstrationis me.
dlia
At 2
but