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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)
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218
analysis Infinitorum.
CAP. III.
+ 2Fya; ex qua aequatione ciectis, methodo
5. 3T. Cap. II. cradica, intinitesimis, ip(a B per
lineas cognitas designabitur, calculum hic omit.
10, cum pOst C ap. II. 5. 3T. ec 37. rite intellce
taS Sponte sequatur.
5. 4T. Ireque semper requiritur, ut curvi
lincum quaelicum ad AP appliCeTuT; verum
ec ad qualcunque rectas curram AD F. spectan-
tes ordinari potelt.
Ouaratur, exempli gratia, curvilincum
A8FB ad tangentis abscinam A B applica-
tum, quodrotatione lui circa candem AB ef-
Ficiat solidum aequale cono modo exposito
(9y
2Y
pOsita Z8 = h, ac BT = 1, erit hoc solidum
cbhi
= OMB. 2r, IuXta 5. 18, adcoque sumendo ip-
cy y
TIuS 2, Partes infinitesimas, ac divisione per 2r
instituta, erit 3hhi = yyc + y72 + 2+ya; unde
ad modum C ap. II. 5. 3c. _ 38. climinaris inti-
nitetimis, applicata h innotescet; qua ordi-
naria methodo ad interceptam A Z reducta.
currilinei A8 FB aeguationem extribebit.
Simile in Fisuris planis exemplum Cap. II.
5. 38. suppeditat.
5. 42. Ouin et eadem, quam in Figuris
planis Cap. II. 5. 39. demonstravimus, criam
in folidis generalis methodus obtinet, retentis
enim