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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)
# Folio 843, page id 851387705:0863
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PFOP. ZXII. De Calculo Centri Ciravitatis.
7P.
26 P4
Pi = 4 R: adeoque ad marimum cories Cimprun, ue 2 ad 5: Moc L 8. 171.
elt (prOPTEE A 7 = 4 R,) Ex 4 RX 4 R2 = 15 R3 Per DEOP. L. hujus.
Ec Similicer, Superticialis Ongula A b, aciem item habentis F A, (f8. 277.
respectu ejuldem T. A momeneum; crunc omnia ulque ad eorum maximum,
pura ; adeoque (proprer AB = 2C,) momencum illud eric 5 42 C. L
F0 Pi vel (resticuendo e minusculam)
adeogue c4 = 4v= R2,) 35V2
e
C∞i HOc est, PrOPteF C2 = 2V R.
Similier, Superticialis Ongulae AB, aciem habentis BV, F9. 277. momentum
respectu ejusdem bV; eruni omnia quactrata rectarum, ip( AV parallelarum,
semiparabolam AD V complentium; hoc elt, quactrara rectarum Z  Zihioc ett,
omnia C = 262C2 +c
+R2
quadracum b P, =
minusculae) 4c
; hoc elt, Per PrOP. Z. hujus, (PrOPter AB = ZC., et
4 X 23
2C.3 - 3C3 + 3C3
4R.
15 (23
4 R2i vel (rellituto valorec
16CV; ut prius.
Trem; Superticialis Ongulae A b aciem habentis xa momencum respectu ra, Tunc
omnia quadrata pB eo spectantia; hoc elt, quadraca rectarum DB, parabolae
Portionem ApBa complencium; hoc csF, omnium bB = bD; hoc elt, omnia 2 R
2X =; hoc et omnia 26 R a = 8C2 R4
+
e seu +
2. Bujus (Propter AB = a B = 2C,) 32 C. R. -
15 C R + 3C; hocc (prOB.
Ter C= = 2 VR, 8c4 = 4 v = R=; icem, resticuta c minuscula;) BcR 2 = = CV R
=ZCV2: VE priuS.
Acque hinc, centrorum Gravicatis d Y A, BV, ra, distancia; reliquaque dedu-
centur; eadem quae prius.
POrrO; E intellisatur Curra A F Fg. 277, in minutas partes aequales (vE prius)
dividi; Erit Singulorum b punctorum, scu parrium minurarum, ab A a distantia F18. 177
bV = bB F BV = a + s: Sumpris AB =6, (adeoque e Ab = 26) arictimetice 182, 183.
proportionalibus.
Adeoque; s incelligatur curra A= fg. 277. in rectam A r F8. 182. expandi;
cui ordinatim applicentur, (in singulis b punctis,) ex una parte, rectae bB (iri.
lincum A ratis. 182. complentes) iplis bBHig. 177. aquales; _ ex altera parre,
rectae B. (complentes bilineum A rv) aequales iplis BV fiz. 277. Lingula Recta
Bb0 Fix. +82. Lingulorum b punctorum, seu minutarum partium, MOMEnTA respe-
ctu rectae A a fig. 277. exhibebunt; aceoque e omnes omnium; live qua cOtam
A r, Sirc quae iptius pariem A B spectanE. HOC est, TOt AaTV, TOEIUS AF cur-
1
 ejusque pars ABbV, partis Ab; momencum respectu rectae A a HS. 177. ex
Sunc urique recta BB, crilineum A a r fiB. 282. complentes; hoc est, recta Bb
177. ut arcus chordarum in semicireulo, vel linuum rectorum in Guadrance,
arichmetice proportionalium; hoc elt, ut recta 30 fig. 170, complentes crilineum
F; (quod el Fixura sinuum rectorum unius quadrantis a. ns, complemencum
a Parallelosrammum.)
Ouippe lumpris ar; seu E0, sinibus rectis arichmerice proporcionalibus; erunt
quae his despondene, 10, tetta, crundem arcubus aequales: quorum duptis, X
quaneur, chordarum in lemicireulo respondentium arcus; seu rectae BB, H3. 182
Pura, rectis ro complencibus Ana crilineum Hig. 183. EpHi ar F fis. 270. limile.
Eleque alicer ditere eilmeum A xa. l6. 182. ab Aan His. 183. quam quocl (retencio
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