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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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PfOP. XVI.
De Centro Cravitatis.
aequipollens (nam sicubi alter praepollet, ea praeponderabitur
Per 7 Cap. 2.) Ad
eoque nuII vel accentiis rel Delcensui simul A quipollent. P ex 8. C ap. L.
9100
Item; moto Centro Ci in n, nec alcendendo tamen rel delcendendo, Lea I Cadem Fig. 99.
a Terrae Cenero altitudine; licque ibidem ACB recta, in situm a n B transtata
Acque hujus similis ad horizontem licus intellisatur, in a C. B. Manitestum est,
Proptes xque alia puncta Cy n; rectasque C B, n B, aequales ee similiter POsTaS;)
Duncta B, B, urrobique xque alta este. Idemque de reliquis respectire punctis li
milicer oltendetur. Adeoquetorum Crare in Ciu an B, aeque alcum et d tCPIX
CCnEO, acque in sIt a C. B; hoc est (per jam demonstrata) aque alcum acque in
TI AC B. Adeoque nec Alcendisle nec Descendille censendum exit.
Sin aleius humiliutre sic punctum n quam C; acque similiter ad horizontem
lira incelligatur eadem recta in a C B, atque in an B: Ostendetur (prOPIeF aqua-
les rectas limiliter positas) tanto alriora esse vel humiliora sinsula reCX a n B
puncta, quam puncta rectae aC e: quanto est iplum n, quam C: Adeoque (cum
dereliquis punctis eadem Lic ratio) tanco altius humiliusve Crare in a.X B, quam
in a C B; Hoc eH, (per anre demonstrata,) quam in ACB. Adeoque tancundem
vel Ascendisse vel Belcendilte centendum erie crare, quantum Ascenderit, vel
DeFcenderit centrum CraritatiS; Per 3 Cap. 2. Oux demonstranda CranE.
Cum isitur, per 4 Cap. 2. in ea ratione ponderat idem Crrare qua, Limoreatur
plus rel Ascenturum sic rel Descenturum: cancundem ponderando ralere centen-
dum exit; acque si ibidem corum estet crare, ubi ipsius elt Cemirum Crraricaris.
5C1OZ ZVM.
Dex igitur, in praecedentibus, ostensa funt, de Punctis Applicarionum, corumre
La Cenero vel aliunde distanciis; de Crrarium item loco, et moribus varie de
cliribus; execeraque iltiusmodi: Forum Ceneris Ciravicatis accommodanda crunE.
Duippe tocum Crare, hujus ope, in unico illo puncto vircualicer licum incellisa-
tur, in quo est iplius Cenerum Craritaris. Ouodque de incegris graribus jam di-
incellirendum ett; Ouippe ec txe Parriculae sime roridem Gravia: Sieur et Grarium
Recregacum, pro uno Cirari habendum; cujus est et unieum commune Cenrrum
Crraritaris.
Ouxe igitur (per torum Capur L auc alibi) de Grari, tanquam in uno Puncto
exiltenre; aue ad Punctum unum Applicato, eire vel subicto, vel supereminence,
ecc. dicta Tunc: De Cenero Cravitatis commode exponuntur omnia. (Ouod de
obiter intinuarum est, in Scholio PrOD. 3. CaP. 2.) Duippe tancundem ponde-
rando ralet Grare, utcunque politum, acque h in eo puncto torum incelsieeretur,
ubi est Cencrum Craritatis: auc etiam, Crarium quortibet ACGreBatuM, UICUn-
que policorum, acque si in communi simul omnium Centro Gravicatis el(enE.
100.
Acque hinc eriam ampliandum jam erit, et aliquarenus relarandum, quod in PIB
Scholio PrOD. P. hujus detinirimus: Nempe, quod lingula torins Graris, vel AGBTCBaLI LOF,
O0002
BraVIUI, 102.