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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 160, page id 797939695:0180
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=180
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Synopsis
decagoni, id est dictae perpendicularis,
de IIP; igitur tota diameter lphaera con
rinet Temidiametrum PII, _ bis lacus
decagoni P R; cum demum compolica
exlatere decagoni d lemidiametro le
eta lic in exeremam ex mediam racio-
nem; Puta D F Ag. 4T in B; quadracum
autem compolitae ex minore legiento,
d lubdupla maioris adaquat quinque
quadrata dicta subdupla; sic enim B A
lecta in D; sic maius legmentum D B,
ejus lubdupla D C; ducantur recta A
G3EN, TM, CTI, DK, in quadea-
to A C rectandulum D L. ad aequae
quadratum l G; nempe rectanculum
lub extremis, adaequat quadracum (ub
media; est autem PI (UDML, aequali
OTI; vel CD, aMP aequali AD, vel
DI, aqualeD R; ergOMDR adaequat
quadratum IG; ergo quadratum AO
adaequat quadratu I6. d quadratu lO;
id est, quinque quadrata lO; nimirum
TubD C, Tubdupla DB; cum igitur pex-
dicta diameter (phaerae contincat TIP e
bis latus decagoniP R, d cum quadra-
cum lub emidiametro (phaera, id cA, (ub
compolica ex lubdupla IIP, _ PR CON-
rinsac quinquies quadratum Lubduplae
F
Figura
4310
Pigura