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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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ex
De Centro Cravitatis
Si circa rectam quamris, ut Axem, (sire ITorizontalem, sire uicusgne
Obliguum) roTetuE Grare; ea ratione ponderant ipus puncta sin-
sula aqualiter grarata (aut illis applicata
sant à Perpendiculal Del eLlatO.
Adeoque: Si inxqualiter grarata; in ratione ex Ponderum (sire Cra:
raminum) ee Diltanciarum racionibus composita.
EEprimum Axis XS, in plano Horiconcali; acque in eodem Horirontali pla. FiB. 50.
Duo puncta quoclibet A, B, F. Onde ducancur ad Axem normales AC, BX, ES:
Fug. 9
Pondera xequalia) qua di
(qux iraque, per det. 4 FI. 3. plano per arem perpendiculari normales sunt
Dunctolum ab eo Plano distantiam menturances.) Cumque, Der L hujus; non
zontem rectorum;) trunt AC, DL, L.5, condem Labra, eica iua respectir
Possine alias A, B, E, puncta, quatis locando terri; (circulorum peripherias Cen-
Eris C, Z, S describendo; et quidem, propeer sicum Axis Hlorizoncalem, ad FTori
Centra C, Z, S, TOTaIK: AdeOque, pet l2, 13, Cap. 3. A, B, F, puncta, in codem
ACy BX, F.S: Tnxqualiter verograrata; in ea quae exhrarum, et Ponderum ra
cionibus componitur. Ouod crac propolicum.
Dcinde; ManENEC AXC XS, in Licu FTOriZ MCa, (quo plana circuIOTUI FOTA
eione tactorum, sint adhuc ad florsLe Lecla. J Cxa Pa LLBLILBIICatC.
plano orizontali posita, aegualicer, caracas ponderane in ratione diltanciarum
118.92
puncta Gravis quorlibet, an B, 2: (sire in eodem, live divertis Planis, perinde. est: 
Onde, ad Planum Horizontale ducantur perpendicutares; puta a A, BB, cF. IH.
celligatur aurem, ver iptum Axem XS, crisi Planum ad FTorizoncem perpendicu.
lare; acque ad hoc perpendiculares rectae, a n, BE, 20; vel his aequales (urpore D~
Hoc est; (per jam demonstraca) in rarione distanciarum A CD A, L. S, Vel 3H
BE, E0, A Puncta sint aequaliter gravata; vel, si inaequalicer, in ratione quae ex ha-
rum e Ponderum rationibus compolcur. Ouod erat propolicum.
Perpendiculares ad idem Planum, a A, BB, EF. Similiter omnino ploceltet de
monstracio, nili quod Circuli rocarione deleripri, qui prius crant ad Forizontem
rectus nunc tranc obliqui; adeoque propter planorum Obliquicarem, minuuntus
Ponderum Momenta. Es autem, proprer cundem omnium axem, eadem cireulo.
rum omnium Obliquicas; Adeoque in eadem ratione minuuntur Ponderum Ho
menta, Per 26 C ap. 2. Quam itaque rationem inter le haberent Momenta Pon-
derum in A, B, F, a B, c in crectis circulis; candem e hric habebune in circulis
vata; vel si inaequalicer, in ratione quae ex harum et Ponderum, rationibus com
rallela paralletis Terminata) AC, BX, F S. OAtendetur (CX PrOB. T8. Cap. 2. ve
23 Cap. 3.) tancundem ponderare eadem pondera, in an By C, atque in A, B, P.
Denique: Sic sicus Axis ad Horizontem uccunque obliquus: Reliquaque, ut
prius, constructa. Nempe, in eodem XS AB F. plano Inclinationis, rectae AC
BX, E.S, Axi ad angulos rectos; in quas scilicet caduni, a punctis an B, E, demista
aequalirer inclinatis (per s cap. T.) Eloc eA (per jam demonstrata) in ratione
diltanciarum a Perpendiculari per Axem Plano, ponderabune, si sint aqualiter gra
ponicus. Duod erac ulcimo demonstrandum
MM 
BrerI