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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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De Calculo Centri Craortatis.  Cap. V.
Fig. 169. Si vero eadem Dnoula, tereiis adhue planis (seu exienis Prismaribus) comvoni
incelligatur, Basi seit Prilineo Ar a parallelis, Ongulam complentibus; cruME. ea
(propier. Onsulx Obliquam Sectionem, ad eoquo plana luperiora concinue magis
maxisque ab Aae deticiencia,) Prilineis A7 an XTC, Z26, eec. (ulque ad ulcimum
Ere, ipsumre r punctum;) aequalia: Hoc elt, cocidemi A. F a planIS, demptis
omnibus XEa A, ZCa A, ccc. HIOC ct; Prismati alcicudinem habenti, 8.2, dempta
concraria Ongula, super eadem A ra bale, aciem habence PY. Fr linsticer, qua
Ongulam porcioni bBa A insistencem complent plana; tunc iplis bBa A, bBEX.
bB62, Sc. (ulque ad iptam bB) aequalia: Hoc elt, roridem bBa A, dempris
omnibus XEa A, Z. G aA, Cc. seu Prilmaci ipsi b Ba A intistenci alcicudinem ha-
benei aequalem ipli CB = Ba seu arcui B A = a; dempra copcraria Vnsula, aciem
habence DB.
Acque hanc cerciam Ongulae compotiionem, ut caleulo, maeis opporiunam,
(cumperinde sic, Ongula magnicudinem quod spectat, planive momeneum, sire
haec, Tire illa, Cire ilta demum sumatur, ) Speciacim hic considerabimus.
Fst aurem (uc 5 A.) Frilineum AF a, ZR P; erBO omnia, A F a; HOC est, AF an
in r4 = ZP, ducta; aR P
trem; portio bBa A, (per 5A.) a R L 5. R; adeoque omnia XE a M, 2G a A
_c. (ulque ad Z a A,) tinc omnia a R Y S R. Suurque, omnia a (hoc est, Tum-
ma areuum arichmerice proporrionatium; guorum MaXIMUS A D a = 3Z,) Se
missis quadrati 7 a = =P; sey 3 : l DET PEOP. C. hujus.) Adeoque Omn. a R
=3RF2. EC omnia s, (Hioces, Cumma smuum rectorum torius Semicirculi,
2 R 2 (DeT SMI. PTOP. 13. hajuS. ) Adeoque Omn. sR, = 2 R3. Eroo omnia
XE a A, ZC a A, _c. quadrilincq; hoc est, Omn. a R f sR; (hoc eA, Onsula Fri
linci Ar a, aciem habensus r. I; Seu correspondens Momencu;) S RP L 2 R3
tirgo; Momencum ejuldem, A+a respectu pai (seu. correlpondens neula
aciem tabens A a.) hoc eltu. Omnia A  ey X 7E, 27G, dc. seu, Foridem: A Za
dempris; omnibus XEa A, 2F a A, dc. Hoc est Prilina Frilinei Ara, (alcirudi
nem habens ra) dempra concraria neula aciem habencerl; Hloc elt, cotidem
RP dempris omnibus a R L sP: Fs P
+R4
Atque hoc momentum, pex igepicdinem L R P dixilumi; et hibet dillanciam Cen.
ei scavicacio Frilimet Ar a, ab A0, 1∞ i H helebese d riv, a ∞ . Aoo bs
Vel eriam; monieneum juisdem respectu Y, (8 P D + 2 R D) modo inven-
cum; per magnimdinem (3 RP) dirisum; extibet Centri graritatis d7 F di-
A3. VEPriuS
2
Similicer; Potionis BBa R, momentum lespectu A a (eadem racione, ) erit A3
presacum omnium, BBa A, bBEX, BB (Z dec. ulque ad ipsam bB: Hoc cA, FOrI
dem bBa A demprio omnibus XEa A, ZC a A, _c. HIOC ett, Prisma ejusdem bB a B
alricudinem habens Ba dempta conacia Ongula lejuldem b Ba A Sectiotis) aciem
habente bB.
F.st auem ejusmi oci porio quaeris, uc bBq A (per SR. d a R. = s R. Adeoque
Omnes XEAA, ZC. ∞ A, Rc. ulque ad maximum bB a P; Tunc Omn. a R + 5X
lumpiis a arciibus, arichmetice proporcionalibus ulque ad maximum a B, qui dicatur
; iptilque slinubus rectis corundem arcuum, quorum maxiuS BV dicatuES
Sunc aucem omnes a ulque ad  (Per DrOB. L. hujys, uipore arichmetiee pio
porrionales,) : (teu àB6 crianeylum;) adeoque Omn. a 
22R.
F
Omnes s, ulque ad maximum By = S cun responder Sinus vertus AV = v; (hoc
eltus a bo crilinemi d supr u R (per BM Y, proP. 13 Au 13) adeoque Omn. s R.
=V R 2, 1IV et1cLI3E
FrBo; Omn. a f  5R:
L . 2 est aeerepatum omnium XE∞ R
EibAA, _c ulque, ae b ea A: Hoc At, momentum porents b Ba A respectu iptius
BB; rel huic correspondens neula  molio obrius
1
jusdem ilaque momentum sespectu Aq (,auc corsespondens Vngula;) hoc
est, tocidem bBa A, inus omnibus ZEa A, ZC a A, _C. seu Priima batis BBa A
alcicudinem habens Ba = A, dempra contraria Ongula b B a A aciem habence BB:
F.I
70.