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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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020
De Percussione.
Cap. XI.
ProP. 5. hujus) utriusque ae prexatum =
mnr
M + n
tem illud ad mr D C expoTitum momentum gravis moti, ut 2n ad m L n; hoc
elt,s ut duplum pondus expoliri quiescentis, ad simul uriusque pondus. Quod
erat propolicum.
Mliter.
Sic, ut prius, Graris A, pondus m P, Celericasr C, adeoque momentum mr D C:
quod directe impingat in B quiescens, cujus pondus n P. Incelligatus celericas
rC in duas partes diridi, ponderibus reciproce proporrionales; puta, i L n
=rC=
C.
in + rC, quae relpieiar poncus n P. Aique
conteratur utrique mocus communis celericate
tiat celeriras A, rC-
OC -.
m +
M
A
m C m  Y G. (prortum; ) et selerias B,
n- L C CxetrOrTum;) adeoque celeritares ponderibus
reciproce proportionales, ael parres concrarias; ictusque maxnituclo (per prOP. 7.
C=
2. M n
hujus) mP   rC + n P = m F  m F  YFC.-
m4  MrDC;
quod itaque est ad mr D C expolitum momentum moti A, ut 2n ad m = n,
(ut prius:) Paucusque erit ictus in catu propotiio, per prop. B. hujus.
P ROP. XIII.
Si duo Cravia, rel aequalia rel inaequalia, celeritatibus quibuscunque.
ad easdem partes ferantur, et Sequens Antecedenti directe impin-
Eac: Erit Ictus magnitudo, ad momentum graris Sequentis cele
ritatum differontia laci; ue duplum ponderis Ancccedentis, ad simmt
utriusque pondus: ad momentum vero Antecedentis eadem celeri-
cacum difterentia laci, ut duplum seguentis, ad simul ueriusque
Pondus: HToc eA, ad momentum utriusris differentia celeritatum
lati; uc duplum reliqui ad simul utriusque pondus.
Fi8. 301. B Sio Cravis A Sequentis, pondus m P, celeritas rC, adeoque momentum
 mrPC; Ancecedentis B, Dondus n P, celeritaS (mInOF) SC, adeoque mo-
 a mencum n sPC; Sicque r = 5. F 1. Exic (per proP. 3. hujus) ueriusque
Seinceps celeritas mr. L n
mr Fns
m + n
E; adeoque momentum A (proprer pondus m P,)
ert B q mr. L ns
m- F  m P C; ee momentum B (PrOpter pOnduS M P,
perdie itaque A, momentum mr P C.
Acq; tamcundem acquiric B, prOPter Y
mr. + n S p QC. -
m +n
n
n F 1
m F n
2PC. DC.
b ls
Vnr. mnS
n
Adeoque (Der PrOP. 5. hujus) veriusque aggregatum est ictus magniudo. HOc
2mnr = 2mM S ∞ C.-
2.+
m. F n
E Mn
MD+C
n ZTC: Hoc elt, ad momencum sequentis m P celericacum disterentia