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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 14, page id 85138403X:0030
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DE
CXCLOTDF.
tur a sbali parallela; erie cenerum gravicatis solidi ex semi-
conversione Temicycloidis circa rectam AD, in recta a s.
45. Cum vero distuncia puncti live R Cire o a recta C F sIE
2Z + 70 2 Y; aeque distantia puncti II vel o ab eadem recta FIE
22 Y; (quorum urrumque ex dictis patet:) erir dictanciarum
ratiO, uE ZZ + 20Z X ad =2 Y, sIVC uE 2022 Y 14. Z Y ad
25Z X: Oux si cum ratione magnicudinum 5 ad 2 con
DANAEuE, HaDCtU MOMeNEOTuM raTIO 1OOE Z F 70 2 Y ad
302Y, Sive 102Z + 72X ad 32T. Quod cum ubi-
que hac; pro patione momenei solidi ex convertione (vel semi-
conrertione) Cemicreloidis, ad momentum colidi ex converto-
ne (vel semiconvertione) semicirculi circa rectam A. F, respectu
linex requilibrii C F, sumenda erie tum ratio 7 ad 3 (PTOPEeK
72. Y ad 3Z Y) cum (propter 1OZ Z ad 3Z Y) es ratio quam
habet decuplum momenti solidorum ex convertione trianoulo-
EUI V F P CIECA A P, Cuspensorum in distantiis ZZ respective,
ad eriplum monenti corundem Colidorum suipensorum in di-
Ctanciis Z Y: Nempe ut Z: R D 3 = 20. R. P ad Z R P, SIVe UE
=5 A F qu 20 C F9 ad 4C F 9. ((Vod 6 87 _ se99. FusiuS
declaTAEUT.) Dux quidem FaCIO II CUI PATIONC 7 de 3 COHJUINGDEUI,
haberur ratio momenti (respectu rectae C F) Polidi ex convertione
(vel Cemiconrertione) Pemicpeloidis circa rectam AF, ad momen-
cum solidi ex simili convertione (vel semiconrertione) semicirculis
Nempe   R P + = 2 R= P ad E R P, GIVC VE 45 P Z = 5T2 R
ad 192 R=, HIOC eA, UE 45 AF9 = 32 C F9 ad 22
C F9.
47. Si ieaque ponamus C F. distantiam centri gravicatis solidi
ex en convertione vel semiconvertione semicirculi, (a recta C F;)
_ FaE, UE T2 C F 9 ad 45 AF 9 32C F 9, (CC F ad OC;
aceruInque, uE 5 ad 2, SC (3 C ad C7F; E duCaEUF Fy Parallela
rectae C F: Frie semisolidi ex convertone (hoc est solidi ex se
miconrertione) Semiereloidis cirea rectam A F, CenErU gEa-
vicatis in recta FV 3 adeoque in ip(ius eo puncto ubI OCCUTrITUE
rectae a s modo invencae 5 45. (Dehonamus aurem in schema-
ce centrum graritatis in ea semicreloide, ubi minor futura esset
linearum confulio; perinde enim ad rem est, in uera de-
+8. ElabiEO auFeM CeNErO
graricatis in senisolido, a forrio.
Duantum
distat a
entru soli- Genecur.
di interri
Etr6A