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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 222, page id 1032977698:0244
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222
Analysis Infinitorum. C AP. IV.
dh + y B
SIE D X =
nibus
b dc F N.
d B + y B + aB
2 d B u + 2 y h u + a B u
dhu + y Bu
nia L0. omnibus
b
)om
hoc et, juxta lem
adcoq propter trian
suli N X ML nullitarem omnibus rectangulis
MIF DK.
5. 3. Ouod AI Aat h = b, _ angulus ZC5
ideo semirectus, aequabitur trunci superticies
CurVa AD EO insistens omnibus du F yu
5. 4. Sin aUTEM nON PeF BC, scd per AO
planum secans transeat, crir ungulx plano
AD F O A insistentis superficies requalis omni-
bus pu; hoc enim catu QC seu d ex hypo-
thelicranescit.
Coroll. T. Sit Fig. L XX. PemicirculuS P:O
centro F descriptus, ac radio FD: r; erir sU-
versicies unsula estindrici per diametrum se-
minormaliter relecti, retentis iisdem symbolis,
juxta praecedentem aequalis omnibus pu; cum
AUtCM SIE DF: D 9:: DE: DH, (CCU r: γ:: W: C.
crunt omnia pu = omnia re, hoc cA, Facto
AL = D F= r, crit ungulx superticies aequalis
rectangulo AL MO; adcoq. quadrabilis, tum
inteora, tum sccundum partes proportionales,
quod ec in parabola obtinet, consulatur COr. TII.
5. 12. lc9.
8. 5. N0