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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
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ROPOSITIONVM.
53. Potentia morrix media a natura instituta est, et vel redueat corpoia
gneis debita extensio deest ad eandem extensionem debitam, vel redu-
cereconetur, vel salrem impediat, ne debita illa extensione spolien-
LHI.
54. Illa pocentia nullum prorsus actum exerit, nisi et vel no ex illis suis
muneribus defuncatur.
ibid.
55. Illa porentia, vel compressorantum, vel dilatato tantum vel partim
ten (o, partim compresso inest.
ibid.
56. Eadem chorda potest, modo plus, modo minustendi, estque eadam pro-
portio rensionum, quae virium tendentium.
57. Moius chordae tensa pulsata sunt accelerati.
ibid.
ibid.
58. Tinc sagita rensa chorda admota non discedit a chorda, donec sit haec
in sim recto naturali.
59. Einsdem chorda, modo plus, modo minustensa tensiones sunt ut tensionis
excessus.
ibid.
60. Chordatensa A F, si dimiteatur libera extremitas F, manente scilicet
immobili altera extremitate A, sese restiruit contractionis motu per
rectam AF.
6I. Omnia puncta chorda tensa, dum haec se restituit, monentur inaguali
morn.
ibido
62. Motus extremi puncti mobilis chordatensae, est ad morum puncti extre-
mi mobilis einsdem chorda maxistensa, et vis tensionis unius, ad vim
tensionis alterius.
64
63. Fiine se reducit chorda AB tensa tum in A D, tum in AF. eodem
tempore.
ibid.
. Acceleratio motus extremi puncti mobilis chordae tensa, dum se se re-
ducit; licet semper crescat, non tamen eo modo crescit quo accelerairo
motus granum.
ibic.
65. Velocitates acquisita ab extremis punctis moin illo contractionis quo
chorda modo plus, modo minustensa se se reducunt sunt et excessus
tensionis.
66. Tlinc velocitas totalis acquisira ab extremo puncto, post decursum tora-
le sparium excessus, est ad acquisia post decursam daram partem ejns-
dem spatii, ut trianculum sub spatio toto, es prima velocitate ad rra-
pezium residuum eiusdem trianguli, cui derractum est aliud trianen-
lum sub differentia spatiorum es illo velocitatis gradu, qui comperit
instanti, vtrumque spatium connectenti.
6
b7. VE se habet velocitas acquisita ab extremis punctis, post decursam par
tem sparti, ad acquisiram, post decursam alteram partem, in maiore
excessu chorda tensa, ita se habet in minore, modo partes sint proporrio-
habos.
ibid.
69. In moil aeeto fanm, volositatis crementa, vel excessus; sune
et temporio
ibico
61d0
68. Velocitates acquisirae ab extremo puncto in parribus spatis aequalibus funt
et numeri impares descendentes.