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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 272, page id 797939695:0292
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272
SyBOpsis
aeque ita deinceps, quatenus Ecilicee eri-
lineur celoluitur in elementa parallela
applicacis, e tangenti verricem axis. Sit
enim exilincum parabolicum primi gea.
dus A IGTI; ducatur baliS II A in
AC aequatur ficura; s enim relolui-
cur in elementa parallela LIG, R I, _C.
pertinet ad certiam clallem; ac proinde
ducta IG in = II R aequatur trilincum,
ve ibidem demonstratum eAt prop. 4. Cum
autem idem sic erilincum A IGHI, sive
reloluatur in FIO; H I, alialque axi pa-
rabolae A C parallelas, huc in HIA, T
E, aliasque applicata parallelas, certe
perinde eAt, quo ad aequarionem, ue
EI A ducacur in , LIO, CmC IICF ,IM
EI A.
Non dictimili modo aequatur trili-
necum parabolicum MIOT Y, Quatenus
resoluitur in YM XO. alialque paral-
delas applicacis; ductaM Y in = YY;
est enim pacabolicum lecundi oradus;
nam perinde cst, (ive ducas T X in L
Mtiliue TM in  VT; idem dicendum
est de cylindrico (ub BalM OTY, de
alcicudinc TX.
Schol.