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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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De oru
iptius speciatim Ponderis cui responder batis CB, ecc. Oux crant inrestiganda
Pondus vero, quod ex CenErO (vel AXC) dependet, uc nullam habet inde di-
stantiam; sic quae huie responderent Parallelogramma (puta C 4 P, C A) nullius
Tune Lacirudinis; adeoque nullius magnitudinis; ut dc ipsum (librationem quod
Spectat) nihil grarat vel hoc vel illud Brachium.
Denique; iplum quo omnia sustinentur Centrum (res Lesent) cun simul
omnium pariter descensui recto retistar, in ea ratione grarant sinsula, qua lune
ipla respectire Pondera; ec simul omnia, quantum est omnium Agxresatum ex
aequilibrii cenero suspentum: (per 2 hujus, vel 18 C ap. 2.) Hoc ell, uc L13 L
F3P + 4P + 3P. F 41 = 20f illic spena. Suou cat  re
sandum.
PROP. XIL
Datis COnderibus Guotlibet (vel Tumma Ponderum;) aataque COKUI
ad datum commune motus et Librae Centrum (vel ad datum per
centrum motus Perpendiculum, aut Perpendiculi Succedancum;
vel ad datum Nocus Axem, Planumre per illum axem perpendi-
culare) Ponderatione ad datas partes: Ponderationem illam Au-
sere vel Minuere, data quantitate; sire manente hoc centro (Per-
pendiculo, pervendiculi Succedanco, Axe, Planore;) sire manen-
tibus Ponderibus sic appensis.
+ : D220D = + r0PD = + 10C.
F =Dx2OP = F sPD = + 56
COnco data pondera, rel summa Ponderum, verbi gratia, 20 P. Sicque omnium
D Ponderatio ad datum Centrum, vel Axem C. (vel Perpendiculum, planumre
perpendiculare per AXem) = FOCI == F FODP, dexerortum: Oux verbi gracia
Minuenda AE (vel Ponderatio linistrorsum Ausenda) quancitate sPD; hoc clt,
expolicae Ponderationi L TOPD, auterenda (IL. 5PD.
Inveniatur (per 15 hujus) distantia dextrortum, qua datum Pondus 20 P,
Ponderet uE S PD (nempe quantum exposicae Ponderacioni auterendum est) puca
20P. Cui sic aequalis, rerbi gratia, C F. Dico; (I, manente C, omiia
limul Pondera linistrorsum moreantur; quantum est F. C recta; Vel, manentibus
18. 77. Ponderibus, tancundem dexcrortum cransteratur C: Vrrumris Fac, tanco minor
eric ponderum lingulorum Distancia dexirortum (vel major linistrortum) quanta
est F. C = = D. Adeoque (per 17 hujus) expoticx ponderationi dexirortum.
cancum autercur (vel addirur ponderacioni sinistrortum) quanca et 5 PD. Quod
erac imperatum.
Similicer, omnino tieret, s Augenda cHet Ponderatio dextrorsum (vel pon-
deratio sinistrortum minuenda;) nili quod cunc vel Pondera dexcrortum mo-
venda ettent, vel C. (Cencrum, Axis, Perpendiculum, perpendiculi Succedaneum,
vel Perpendiculare per axem Planum) liniltrortum; quo appentionum distantia
dexcrorlum auxcanur, vel minuancur sinistrorlum.
SC HOL ZV M.
rInc tieri porest, ul eua prius tuerat live Dexctortumare Sinutrortum P’on-
LLderatio, in Aquilibrium crancseat; (puca, _ Ponderationi F TOPD, FaH
eundem auteratur; quippe f TOPD = FOPD = FOLB:) vel, ut Ponderario
orius Dexcrorlum, jam tiac Sinistrortum; vel concra; (puca li Ponderaricte
= TOPD, auFCratuE LS PD; quippe F +OPD = F5 PL
ED: )
Duoc
per 26 hujus (qua docerur, in dara ratione minuere) non tier; in quacunque
crim ralione lquae intinica nen sic) minvacues verbi Praciam + PD; marebic ad.
hucu signo + aftectum.
ta