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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 23, page id 85138403X:0039
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CtCDLDE
convertione lectoris circuli 2 (7 C circa C C;) unde sublato cono
GZZ, Manebic PortiOZZC; (incellige de Porrione quae hemit
sphaerium non excedir; sin excedat, addendus elt non auferen
dus, conus ille:) cui porciom si addacur conus FZ Zs habetur
sphaericus sector FZ2 C, Eire Colidum ex convertione sectoris
circularis Z FC circa C F Cactum. Eelimilicer de sesmentis
aliis.
68. Vel etiam idem Eector Sphaericus se colligi porerir non
ineleganter: Invencis nemvecum circumducti Sectoris circula-
rismaenicudine, ve suxea, cum centro gravicatis, Per SPeq. Se-
etor ille circularis ductus in peripheriam hujus ceneri convertione
delcripeam, dac sectoris Sphaerici magnitudinem. Sed _ me-
morata suxerticiei Sphaeriex portio plano abscista, eodem modo
colligi porerit: habicis nempe arcus 2 C cum magnieudine tum
CenErO gravitatis: quippe arcus ille in peripheriam hoc cenerO
circumducto descripcam ductus, dac illam superticiei Sphaerica
porrionem: (quxe quidem omnia, cuod oppido nocandum est, non
cantum de convertonibus inceoris sed e parcialibus perinde va-
lene;) unde non modo portiones jam dictae, sed ec alixe variis
modis polce, menturae subjiciuntur: (Vet, vice verta, Flabicis
cum porrionis superticiei Sphaericae, cum _ arcus circularis ma-
omicudinibus, invenietur ipsius arcus cenerum gravitaris. Cen-
trum autem gravitaris aecus cujulvis, in eadio bisecante litum,
diltat a cenero circuli ea radii parre quae sic ad ractium integeum,
ucictius arcus subcensa ad ipium arcum: Dilcat vero idem opa-
vicatis centrum a diamerro huic arcui contermina, simili semi
subcensae Parte. Arcuum denique, uc C Z, momenta, respectu
concerminae diametri; ut C F, Cune ad invicem, uc eorum sinus
vec (I, C Y. Sed haec obicer, acque ex abundanci.)
69. De cencro graritatis in Segmentis circuli, reS ILeM CON- C entrum
Ac. Comenim, ob dacam Cquae dari supponitur )rarionem alei Gravicatis
cudinis ad balin Crcloidis, hoc elt, Diamerri ad Circumterenti- Scctoris, vel
am circuli, decur eciam arcus (DuTa Z C ZHg. 6.) magnieudo; Seememi,
dabicur etiam segmenti centrum gravecaris. Nempe li trat (in Circutarise
radio C C qui arcum bisecac) uE Z C Z arcuS, ad sui subrentam
22; sic 3 eadii, ad 6 F.: erie P centrum gearitatis Sectoris
262; Tive Semicirculo majus sIE, sive minus, sire sequale.
Duod quidem cum ab aliis, e nominatim Fugenio, demonstra-
EU
de C