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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 128, page id 834940469:0212
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2.8
OPOTEMLE.
consequentesnem eiplum rectilineum, quo d demonstrare
CONSECT A R IV M.
Inc sequitur (A in rectilineo aequilacero quocunque
a assignentur duo puncta ee ab eildem ad omnia recti.
linci lacera ducantur perpendiculares) perpendiculares ab
no puncto demittas aequales ette perpendicularibus ex al
cero puncto demitis.
P R O F. 69. E E F O R E M A.
Si circuli circumferentia dividarur in partes quoicunque aequales e
numero impares, es a quolibet peripberiae pucto ad omnes ejusdem
divisiones rectae ducantur: Si circulus dividatur intres partes,
aequales, erit summa primarum aequalis olrimae: si in quinque,
erit summa primarum es ultima aequalis Cumma secundarum;
si insextem, erit Cumma primarum es cerriarum aequalis Cumt
mae secundarum es olrimae: si in novem, erit summa primarum,
terriarum es vlrima aqualis Cumma secundurum es quarta
rum; atque ita deinceps in infinitum.
Dicimus autem rectas primas esse illas, quae ducuntur ad divisiones
ex veraque parte puncto asenato proximas; secundas, illas rectas
qua ducuntur ad divitiones primis ex veraque parte succedentes:
tertias, quae secundis saccedunt, _c; rectam verorlimame, il-
Jam qua ducitur ad divisionem a puncto assienato remorissimamt.
IEcirculi circumferentia ABCDE diuisa in parreS quOF.
acunque aequales in punctis A, B, C3 D, C, licq; O quod
sibet punctum in circumferencia; a quo ad omnes divitlo-
BeS duconeur rectae OA, OF, OB, OB, OC: dico summam
primarum de vicimae nempe OA  OFn OC esse equalem
summae lecundarum nempe OB.. OI. Lix puncto O AUCaEUK
EIL