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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 25, page id 834940469:0033
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PROP. XI. THEOREMA.
Dico sectorem circuli, ellip seos vel hyperbolae ABIP,
non esse compositum analytice à triansulo A B P
e TrapeZIOABFP.
Donatur eriangulum AB P2 SerraperIUM ABFP b: mani
fectum eA ex predictistraperium ABIP eAC rgab e pO
IYGOnUM ABDEP 2ab icemlectorem ABIP esse huius
2 1f rgab
Teriei concersentisterminationem. vr ex Perici terminis au
Feratur signa radicis e fractionis, pro a ec b primis scricicex
minis convergentibus, hoc est pro eriangulo ABP e trape
ZIO ABEP BONANTUE a3 F a2b eC ab2 F B3; crunque le
cundi serici cermini conuergentes, hoc est craperium ABIP,
_Doligonum ABDLP, ba2IF b2a X 2b22. dico seriei cono
ersenris (cuius primitermini conuergences lune ai t ab
ab 2 F b3 _ secundi sunEBaZHF Ba, 2 b24) terminationem
non esse compolic analyrice 2 rerminis a3F a2b, ab2 F b3: (
enim coniponatur praedicca terminacio analyrice a cerminis
conversentibus 43iF 42b, ab2 f b3; componerur criam ca-
dem terminatio analycice e codemi ommino modo a termi-
nis conversencibus ba2 b2a, 2624; e proinde eadem qua
ticas nempe praedicta rerminario eodem modo componitur
analyrice ex terminis a3 F ab, ab2 F b3, quo componieur
exterminis bar F b2a, 2b2 a.
led nulta quancicas porese
eode modo analrrice co-
poniexcerminis a 3 F a 2 b,
ab2  B3, guO COMPONIEUE
23 F a -0
ba 2 = b24
exterminis b42. = h2 a, 2b2 a, quod sic demonstro. A analy
erce coponeretur quantitas exrerminis a3 F a 2b, ab 2 1F b38
eodem modo, quo anatyrice componitur eadem quaneitas
exterminis ba 2F b2a, 262a; 2ddendo, subrratiendo; mul-
ciplicando et dividendo terminos 83=. a2b, ab 2 X b3 de X2
dices
d2Hi B3
a 2