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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
# Folio 128, page id 1032977698:0150
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+28 Analysis Insinitorum.
C AD. TI.
+5. Sit PiZ: X X X V. curvilineum A FO;
Curramque rangens T D producatur, doniec pro-
Tongatx OF OccuErat in S: VocentuEque Z 9: t
e
A 9: X, DD: y, DI: b, TS: h; intinicesin
DEI: en LFI: a. Statuaturque SO Seuh + y Pei
perim in OB, donec describi possienova curva
OBR: erir spacium AR O semper dupium
ipSIES AOF.
FRenim Spatium A R O iuxt S. 4. = Oin-
nia Be +y eh sed omnia he secundum 5. 2. =
omnia re; quare omnia be +y e  toridem
2yc, unde constat proposituum.
Corolt. Sit A F F arcus circuli; crie, FacO
radio = r; O5 =
junde currilineum AOR,
hanc habens ad circulum relationem aequabitur
duxtae circuli portioni AOF.
26. Otod A ipta OB perpetuo adeguerue
subeangenri  Sseu herit sparium ARO aequa
lc spario A FO: cum enim SIC PerpetuO là
inBeq ex S, 2. ADPATCLINEENELI:
Corolb. L. Pater hincratio ad cundem arem
AO TCux, non duo rantum cuevilinea A FC),
A RO constimendi, quae sibi mutuo sequan-
cur, verum de proliibicu multa; liguidem ers-
Caro curvilineo A R O denuo codem more,
quo in curvilinco AFO usi sumus, novum ac
cundem anem applicabile cherser curvisincum
Peio.