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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 621, page id 851387705:0641
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juo
De Libra.
junctis oneribus: Sicut ad Prop. 2. ostentum est. Ouod in sequentibus ilem PTO.
Dolicionibus incellisendum exit; niEi liquando contrarium in (INLICTT.
PRO P. VI
Si Ponderibus utcunque scarata Libran Cenero squilibrii sustineatur:
NCutrum praegearatur Brachium.
Et contra; Punctum illud Libra, quo si suctincatur sic gravata libra,
neutrum prxeeraracur Brachium: eA Cenerum squilibrii.
Patet, ex Detinicione Centri AEquilibrii.
P ROP. VTI.
Plavenre Cenrro Aquilibriis uccunque scaracis Prachiis, Libra non
morebitur.
OHE AB, Libra. Aeque incelligacur Cencum Aquilibrii, vel idem cum C Fi8. 58.
centro librae, (nempe li aequalirer vel graventur, vel non graventur Brachia;
adeoque constabit propolitum, ex 4 ets hujus: Vel ab ipto aliud, ut F. HOC, in
quam, manente; Libra non morebitur.
Cum enim (per DeF. Cencri siguitibrii) E A, E B, prout jam gravantur, invi-
cem aequiponderane; Dec pollic (proprer inflexilem libram) alterurrum descen-
dere, manente F, quin alterum Ascendar: contrarii conatus invicem aequales, mo-
cum non eHficient. Dex +2 C aP. T.
SCZOY, TV M
Vod autem de Cravitate dicimus, (sive in hac sire in aliis Proposicionibus,
Ldeorsum movente; idem de quaris alia Vi morente secundum Directionem
Tuam, incellisendum erit; juxta DcF. 2T. C ap. L.
Manente in cdac a Ccnuo lecta luane, Centro Aequilibrii:
neque Descendere censenda est grarata Libra, neque Ascendere, ut-
cunque moreatuT. Et contra; dum neque Descendere, neque Ascen-
dere censenda est praraca Libra; Cenirum _quilibrii manet aeque
altum.
Et similiter de aliis moribus a Vi morrice quaris, mucatis murandis, iu.
telligendum exit.
FNcellientur AB Libra, uccunque gravaca, i ls a P ubrest: Mavente (P
mum) Centro Aquilibrii in eodem E puncto.
Cum isicur (propier P. Centrum A quilibrii)
Partes E. A, F. B, in quocunque Tu, adeoque in
roco prosrestu, invicem Aquiponderant: Sit.
que, propter inflexilem Libram, unius Alcen.
tus cum Descensu alterius perpecuo conjunctus:
Frit ACcentus Descensui Agnipollens, (nam (I.
cubi praepollet alter, ea praeponderabitur; Per 7
Cap. 2.) Nuli isitur vel Descensui ret A(cen
Tui, simul aequipollent. per. 8 Cap. 1. Quoderat demontrandum.
Idem deinde oltendetur; etiam hi non in eodem P. puncto maneat Centrum A
quilibrii; sed in aliud quodris aque altum transteratur, ut E.
Librae siquidem in siin a CB, incellisatur parallela in a F B; nempe dum intelli-
patur Tercae Cencrum intinice ditans: Si vero in distancia tinica, incellixuur eirea
Centrum
Pcop. VI.
P R O P. VTI.