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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 745, page id 851387705:0765
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PFOD. XVI. De Calculo Centri Ciravitatis.
distanciam ab C oppotita) ra de R3 + 9 5V R = 65. X + 6
22C R = 1250R - 8
Sete + 60uR = 453. Acque d B V, 2 R - B +
3V
1
5e2
6ese + 65u R - 45
V
ScR= +650R = 4 5id Z. A 3 = SC R2 + 650 R - 4. 53: Ungulaque
PrOPterea, respectu BV, momentum = 3e R3 L Z aV R 2 = bS V R2 L  3 53R -
1E53V; e respectu iptius P A (aciei TuX ) momentum SC R3 = 3SVR = = ZS R
2530: Flujusque duplum, ZCR3 = Z5VR2 -353 R = 353V, momentum Se
mitolidi correspondencis. Hlujusque propterea Semisolidi distantia Ceneri grari
caris 2 T A (anC su0) cAt  R-
653Vrit
raq (aui oppolica) 2 P - 5 R 3C R  + 3 50 R D = 2 5.  2; aleoque 2
v
3C R P + 35VRP = 255∞ . Ejulque
momencum respectu hujus r oy L0 R P + 3 5u R ~ - 5 53 P - = C R = 2 5V R
+353R F L53∞
Ee Speciatim, quae cori Semicireuto aDa insistic Vneula, aciem habens, sire
a sire T A; momentum habet (peopter s -0, e 0 = a = ZP,) respectu ca
rum alterius, nempe aciei sua, 1SRP; alterIUS verO, quae aciei OppONITE,
8R3 F; Adeoque Centri graricaris distantiam inde, J R; hinc, 3 R. Ft corre.
spondentis semisolidi convertione lacti, momenium respectu asis conversionis lua,
3R P; Cencrique pravicaris inde distantia erit x. Onde habetur ejuldem
ab altero extremo distantia, et momentum respectu istiuis.
Deinde; ut HaC Ad AXeM B V, ErANSFErAntIE; (Der S F. prOP. FF. hujuS: ) EX
Ongulae Semisesmenti BV A, aciem habentis PA, momento respectu ra modo
invento, Se R3 = 35VR2 -253 R f 553V; s auteratur factum ex Onsula mag-
nicudine Z C R2 F ZSVR - 353, in a V = B ducta, hoc el, =CB R = = Z5VBR-
253B == ECBR 2 F Z53R - 353B, (DFODCer BV = 5 =,) hoc et, CR3 = = eVR
+ =53R = Z 53 R + 553V = = cR3 = Z a V R = = L5V R Z  657 R + 353V: Ouod
restat = SC R  = Z a V R = = 85 V. R = - , 35 R - 35 2V, elt ejusdem VngulX BV A
aciem habencis TA, momencum respectu BV; (quod S P. alicer ostentum elt:) Pjus-
que Ceniri graricatis distancia a B V = 2SC R = L2aVR - 35VR - 25 R -2532
2
=0 - Z R F 6CR2 + 650R = 453
12CR = F 725VR = 853
Idemque haberur, si ejuldem Cencri di
stancia d T A, auteratur ex AV = v, (aue ab ejus d ra distancia auteratur
B = 2 R - v;) ut habeacur illius a BV distancia; acque haec d B V distancia du
cacur in magnicudinem Ingulae, ut trabeatur momencim: (ue S F. factum est. )
Eiiurovis modo, habebicur Semilolidi correspondenismomencum respectu ejusdem
BV; Cencriqi craricatis inde diltancia: Nempe, distancia, -
∞ + v; ee momentum, 1 SuR D - :  X
35 R +
6532
3et P + 35V XP - 25 
5308
6X = 3CR = 25V R +
FX Ingula vero semilesmenti BV A, aciem habentis Ta; puta Y VFA (AB.
24T.) auterendum primo factum ex plano BV A in a V, pura Prisina V Ya A,
uE habeatur rat, leu V AF, Ingula ejusdem balis aciem habens BV: AIque eX
momenco istius Ongula respectu ejuldem 2 ∞ hoc est, ex 3C R3 f 35VR2 +
13S R = = 53~ (per ST.) auterendum illius Priimaris relpectu ejuldem r a mo-
mencum; hoc est, plani BV A momencum, in VV, Peu à V = h ductum; hoc
clt (per SL. DEOV. PraCCd.) ZCB R = + 55VB R = 353B = e R 3 - Z a V R2 
5VR + 8
V; ue habeatur momencum Onsulae BV AF (SemiseB
mento BV A intiltencis, aciem habemtis BV,) respectu ipsius 7a, = d C R3 +
av R +552R =  R + 5 53V. (Idem acque momenium respectu BV,
Bbbbb
aciem
16C