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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 120, page id 797939695:0140
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Figura
Synopsis
Knarmentum Onincum,
De Lis a flementis Lineae in se in-
nicem e alirer ductis.
Prop.
Si secetur linea recta in extremam e
mediam rationem, quadracum lub cotur
C aequole sectanculo lub media, ex Tub
Copolita ex eora d media; sic linea FD, ica
SeCta In F, VEFD LIE ad F F, VE haC ad FD;
(hoc est, quod dicitur linea lecari in ex
tremâ e mediam racionem) sic quadra
EUm E A, icem F II, rectangula EHI EI,
rectangulum AK es aeguale quadratoF
IL. quia FHITub extremis cA aquale qua
araco FA; F. I CA COIMUNE; IGIEULEOTUI
FHLaequaletori bl.
Prop.
Si linca recum que diuidatur, quadra-
cum totius continet quadrata legmento
rum, et duo rectangula lub legmentisi
CE M N secta in O, quadraTUIM M S.
continet quadrata scomeneorum nimi-
EAM MP, P S,_ rectangula PV, PN,
sub seomentis; tocum enim aequale
est
rid.
in
tuI
F.
X
est
COH
ul
la
1I
al