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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 Percussione.
C. ap. XC
COMPOLICIMI. PE CujuSitaque Prilinei Cenrum staritacis quae 2d Libram appli-
cacur VC, detignat in A B libra Cencrum Agustibrii V: e simititer, in V, lecto
axe Frianouli, lire criangularis Cunei, habetur Oenerum Virium; vepore rectis illis
proportionalium.
F18. 307. Incelligatur demum AB ConuS Peu Pyranris:: Cnjus icaque Parricula (ab A
verrice numeratx) erunt UE OF, TF a F, OFete Pories Secundanorum: Oe
leritates autem (Foratione Centro A tacta) uE OC LC 2 C, 3. C, _C. Teried PrI
manorum: Adeoque Bomenta seu Vires, ut dC) FD C, 8Y C, 27 PC c
Teries Tercianorum: Pura ut rectae complences Senrisparabolocidis Curbicalis Com
plementum ABC. Per cajus itaque Cenerum grapiaris si applicetur (uc prius)
VC; habebitur (uE SuPTa) V Cenerum Virii. eL 1IB, etBM
1∞. 308. Sin M Centrum Notus (eu Rocationis Sic in acultra A prorracto: Pondera
CxUINE (HE PriuS) ut OP, TP, 4~, 9P, _c. Peries Sccundatbrum: Coleritaves
vero (distantiis 2b MI provortionales) ut a C BC F PC, aC f 2G, aC + 3C, c
series Aqualium serie Primanorum aucta. FF pOpTOrCA; VireS, VIE Oa P C,
Ea D C F EFC, 4aFC = 8PC, 9a F C f 37 ~G _c. Teries Secundanorum
aucta serie Perrianorum: Pura, u rectae comptontes Pritineum A BC) ex AB D
complemento Semi. parabola, _. A T C. complemeno, Semi parabolocidis Cubica
lis, (Hc invicetu apraris uc catus postulareriu, leompolitum. P et cujus icaque
Trilinei Cenerum gravicaris ductaN Ci habebicur VCemrum Nirims ut PriuIS.
Acque ad eandem Formam mucaris mutandis, procedendum eriiys quacunque
Tuerit Fioura Gravis mori, (sive ordinatas sire: uceumque inordinata,)’e ubicum
que ponatur Cencrum Rocacionis: l Nempe; Quaecunque tuerit Magnicudinum seu
Ponderum series; cum ea componehda er ie ories Coleritatum (urcunque acquisi
carum;) ut habeatur series Virimm seu Momentorum Aeque haec momenia, I
contiderentur ut Librx Graramina; Scildens lesibus hie exquirendum crit Cen
erum Virium; quibus, in Cap. 13 Contrum Aquilibrir; a in C ap. 47 5. Cen
irum GravitatiS. Nos calus aliquor ex Timplicioribus Solesimuo quae speciminum
instar sint; e in quibus Axis Tolidi salcem Rectam decerminac in qua sic illud
Centrum Virium; ue nihil hio Opus sic aline quam ut darxe Lihrae (monientis
virium GraVatX) Centrum Aguilibrii inquitamr; secundum iradita C ap. 3. Si
vero illud non eset; decerminanda esset ea recta, cildem merhodis quibus deters
minandus elt Axis Aquilibrii (in ordine ad Ceherum Grarivaris inquirendum)
Cap: 5. Acque in co randem Centrum Viriun. Sed Angulis scalibus immoran-
dum nOn CTaL.
1.1 e
Denique; Ouod in Centro Virium sit maxima Percusio; sequitIr ex prOP. B.
et 18. Cap 3 ampliato sentu expoliris.) Onippe, Centrum Virium, elt Libra
Sic gravataes (non midis Pondoribus, sed Ponderibus seum Impetu) Centrum AI-
quilibrii; in guoli sultineatur Pibra (quod hic tic a corpore perculto) tocarum
Virium impecus sustinetur, (quippe, propier Aquitibrium in neutram partem
rocando teretur;) si vero extra hoc Virium Conrrum (dipercul(o) Pustincatur
ad eas partes rocundo propendebune. Vires qua est Virium Cencrum; adeoque ncc
tots impedietur Mocus; Sed ea Patrem lui Parre qua Rocando minus procedic Cien
trum Virium seu Aequilibrii, quam Si (non impedicum) recte procederet. Quodu
locis CatIs, generali demonteratione oltenditur.
Si rero, percultione non in V puncto facta, manu renentis, puca in A, impe.
diatur ne tat Rotatio circa puinctum ictus in corpore perculto: Res reterenda
eric ad Vectem cum duobus Fuleris. Ouippe morus Virium (seu, quod tantun.
dem cst, Cenrri Virium, per prop. d. Cap. 3. vel prop. 16. Cap. 4.) Partim COr-
Pore Perculto, parcim Manu Percutiencis, canguam duobus Fuleris, (ueroque in
terius potico, si Cenerum Virium sic inter illa duo Fulera; rel, si extra, altero
interius altero superius polico;) sustinetur: Sccundum leges Cap. 6. (de Vecte
duobus Futeris sultento) radicas.
SCZ7OL ZVM.
Onendum hic non incommodum duxi; proceltum d dato corporis percu-
Vcientis Centro Gravicaris, ad GIaeH LCHea Lact CaBII LOCaH) CenErUIN
Virium inguirendum; alium nost esse quam a dato PLaUL CCNEO GrAVITALIS a
Ongula cidemiintule e. dalam in eodem plano actC labemLS) Cencrum era
Ntbabem