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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 10, page id 85138403X:0026
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quum autem eorum neutrum lIE, non licet (IC arguerC;) PExereF
rationem illam 5 ad 2, quaerenda elt alia racio; nemve quam ha-
bent noncuplum omnium ZZ. (Crez C arcuum arichmetice PFO.
Foccionilium) in respectira Triangula v FP, ad duplum omnium
2 Y (linuum rectorum corundem arcuum) in eadem respectire
ertangula. Hloc el (proprer criansulorum bases aequales) noncu-
plum arcuum arichmetice proxortionalium, in reliduorum linus
vertos ductorum (urpore Triangulorum alcieudines,) ad duplum
Tiruum rectorum in eoldem sinus vertos; HlOc est (uE deinceps
Fusius Octendetur 874. 8c.) uc difterentia quadratorum BasiS A F
ex altirudinis C. F, 2d 5 quadrati C F, Tive uE 9 R F.9u 9C F9
ad 2C F 9. Cui si adjungacur ratio 5 ad 2, hoc elt 5C F9 ad
2 C F9; HCE9 A F 9i 4C F 9ad 2C F9, ratio solidi ex se-
miercloidis convertione circa C F, ad sphaeram circuli genico.
FIS.
3r. Fodem fere modo eriam de Polidis ex convertione seg-
solidi circa mentorum arguendum. amr ee hic omnia minuta Praperia seg-
rrenti, verbi oracia EZ CF, circumducta: adOmnia MInULa
Triancula sectoris I2 C sc circumducta, circa eandem rectam
C F: TUHE UE 5 2d2, aeque insuper, uc noncuplum omnium 2 l
in respectira Triangula, ad dupluri omnium 2 Y in eadem erian-
oula: Iin ex hoc demum solido, auferaeur solidum ex convectione
Praperii CZ YF circa rectam C F Factum; manebie solidum
ex convertione segmenti C Z X circa rectam C Y.
32. Fepari fere procestu, si demista recta I X recta CF
Parallela abscindi incelligacur segmentum Z. Z A; ictius seg-
menti cum dimentio, tum ex solidi inde facti, sive convertione
circa rectam C F, live circa rectam Z. 2, Facile colligitur. Sed
haec InCeE quaeSIEA HON SUNE.
83. Ad centrum gravicatis inveniendum, supponimus ob dacas
CF, AD, FI∞. T. dacam esse circuli quadraturam; adeoque _
centrum gravitatis in seomentis. Nam ut, ex dato cenero gravi-
catis in cireuli segmentis, colligi posle circuli quadraturam, jam
ab aliis oltensum eAt; Sc vice versa, ex daca quadeatura Facile col-
ligitur cenerum oravitatis in seomentis. (Ouod, ( Opus lIC, dein-
cexs oltendetur 567 _ se99.)
34. Ponataus ieaque primo centrum librae in (7, ex rectam
distat eit aa I (librae Transrer sa.) sirque ucriusvis semi-
circule
C FDC
D
F18. 1.
Sermenta
E
Contrum
Gravicatis
Semicyelot
nuntum