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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 414, page id 797939695:0434
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42 4
Opusculum
liamecer, perimetrum lemicirculi ADC.
ceneru B, sic perpendicularis D B, du-
eantur AD, CD; dico, ADC esse omnium
possibilium maximum; produeatur enim
AD in DE, Sincque AD, D F aequaleS, aC
proinde FC, perpendicularis in A C; du
eatur quadtans DEC, ducantur demum
dua quaelibet aliae puta ALC; dico, AL.
Cminus else, quam ADC; nam produca-
tur AL in C, ducaturque CC; triangula
DAG, DCC Tuntilolcelia; igitur anguli
DGC,DCO aequalesiitem D G, DCA.
est etiam DCL aegualis D A L; igitux e
DCL; derractis igitur aequalibus DGL
DCL, ab aequalibusDGC, DCC, LCma-
nent aequales LGC, LCO, igieur LG, LC
aequalessisitur AC aqualis ALC; Ccd A
E aequalis ADC, es maior AC, igItUF dC
ADC maior ALC; idem altumpea qua-
libet alia demonstrabitur; igieur A
DC eAt ageregatum omnium possibi.
lium maximum, minimum porro est
AC.
6
Ducere inera circulum, lineain omniu
Dollibilium maxima; haec est diameter
circuli;icem intra phaeram, circulus lub
diameero est omnium polbilium a-
XLIZI EI53
I