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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 226, page id 1032977698:0248
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226
Analysis Infinitorum. C AP. IV.
DF: I e ratione radii ad circum Ferentiam
ut r ad c, erit circumferentia radio OD del
eripta = r gux ducta in : TD dat 2r PO
Luperticie COni ex ZDO circa Z FOtatI5
uti ex PexBreNO S. S. notum est. Fandem ob
rationem superticies coni ex triansulo ZPF
circa TP converlo requabitur
Cy  c a
in
5 + 1
scu (eliminatis per lemma, 10. rejectaneis)
Cy 5 + C y 2t + C as
: Unde s detratas 2r, Fema-
RCL CONI EFUNCAH SIPCPHICIESCK D F CIrCA PO
C5 a + C y u
Cum vero ob tangentem Y D sIE perpetuO
YW = 5a = ke, crit lingularum superticieculq
rum valor=
6y1 c5 a ckc
= r 3 gnare tota
CupertcieS CX AFO CirCa AO FOTATA = OM-
C7 I1
5a
nia; = omniar = omnia
Coroll. T. Sic AF O FIG. LXX. Cemiciecu-
LuS CCHETO F descriptus, qui volratur circa
diametrum AO, quaeritur hinc orta (ptxea
superticies; vocatoq. radio D F: Y, eC DO: y.
aquabitur juxta modo insinuata omnibus
OiM. IbLS
CY C
i Omnibus ce; eA enim