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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 1028, page id 851387705:1048
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Flater, o Resilition
antem utrique conterri (motu communi) celeritas L sC Prorsum; que tat le-
leritas A, YC F SC (PrONTUM;) B verO, = sC f SC = OC: (UE teraTUE A Ce
leritate rC f SC, tanquam in B quiescens.) Ouod si PONAtIE; CriF, POIL CON
ractum, celeritas A, OC; B vero rC F sC (DrorIum;) Der prOD. 5. hujus. Sed
ec idem erie (impulsum quod Spectat) in calu propolito. Si itaque ueringue
dematur (quae adjecta Fverat) celeritas  sC: habebitur iplius A celeritas
OC. -- sC = = sC (FCTTOFLIIM;) e B, celerITAS r C F SC -- SC = r C. (ptOF-
Tum:) Hloc est, ad contrarias partes, celeritatibus DermuUTaLS.
Cup. 2.IIL.
1028
PROP. VTIL.
Si Crare motum, quacunque Celeritate, in Crave quiescens (aequale)
rel inaequale) directe impinsat; (sintque Clastica, alterum rel u
trumgue:)
Celexitas, post contactum, Craris impingentis, ad cam qua PrIUS FuC-
eat, elt, uc differentia ponderum, ad corundem summam; (8 qui-
dem prorsum vel retrortum, prouc Pondus impinsentis majus est
auc minus Pondere quiescentis; sin ca sint aequalia, quicscet:)
Celericas autem Ouiescentis, Ret (Post contactum) ad eam quae fue-
rat impinsentis, uc duplum ponderis impinsentis ad candem pon-
derum summam. Adeoque s pondera tuernt aequalia, ea celexi-
tate quae Tuerat prins moti.
Fis. 300. J, Sio Graris A moti, Pondus m P, Celericas r C, ad eoque Momentum mr P C:
, Ec quiescentis B (cui directe impinsit A) PonduS n P. Fric Elateris, vis
2. M n
resticucira (idtui aequalis d im +   P C., PeC prOP. 12. Cap. LI. Dua aequali-
mn
cex urinque se explicans, Celeritare dimidia
rPC. tum Repellic A, cum
e
M
(retrortum;) huie (propcer pondus n P) Celericarem +,
m +n
rC
M. -rC (prortum.)
p+
Sed et aliunde terenda erant vtraque (S Elater nullus eset) communi Celeritate
m F n rC (PrOrtum;) per prOP. 2. Cap. FF. Ouxe si urrinque addatur, ha-
m  2
 4
in X
cortum PrOuE m vel n majus tuexit; nEuITa vero S fuerint aequalia, PTOPIeF
n - n = O:) e Celeritas B, F
a
rC.
M + n
m
m +
rC:
m F n Y C: EC
quidem, s m = n Celeritate rC. Oux demonstrancta erant.
Aiter.
Sic Cravis A, pondus mP; e Gravis B, ponduS n P: aique incellieatur A,
Celericare rC, directe impineere in B quiescens. Incelliguur irem dividi Ccteri.
tas rC, in partes ponderibus reciproce proporcionales; Nemper in Ln
rC
quae respondeas pondteri m P; et M-, C, quae respondteat poncerin P. A
M+
que