Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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[181.] SCHOLIUM 1. Generalia de viribus centralibus.
[182.] SCHOLIUM 2. De Motu in Circulo.
[183.] SHOLIUM 3. De Motu in Ellipſi.
[184.] SCHOLIUM 4. De Motu in orbitâ agitatâ
[185.] SCHOLIUM 5. De Motu in Ellipſi agitatâ.
[186.] SCHOLIUM. 6 De Computatione motuum Apſidum in curvis parum cum circulo differentibus.
[187.] LIBRI I. PARS IV. De Viribus inſitis, & Colliſione corporum. CAPUT XXII. De Viribus corporibus motis inſitis.
[188.] Machina. Qua corporum motorum vires conferuntur.
[189.] Experimenta i2
[190.] Experimenta 2R.
[191.] Experimentum 3.
[192.] CAPUT XXIII. De Colliſione corporum. Definitio I.
[193.] Definitio 2.
[194.] Definitio 3.
[195.] Machina Qua experimenta circa colliſiones corporum inſtituuntur.
[196.] Machina Alia, cujus ope eadem Experimenta circa colliſio-nes inſtituuntur.
[197.] Experimentumi.
[198.] Experimentum 2.
[199.] Experimentum 3.
[200.] Experimentum 4.
[201.] Experimentum 5.
[202.] Experimentum 6.
[203.] Experimentum 7.
[204.] Experimentum 8.
[205.] Experimentum 9.
[206.] Experimentum 10.
[207.] Experimentum 11.
[208.] Experimentum 12.
[209.] SCHOLIUM 1. Demonſtrationes n. 499. 510
[210.] Demonſtrationes Algebraicæ n. 513. 516.
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223139MATHEMATICA. LIB. I. CAP. XXIII.
Experimentum 10.
Suſpenſis globis, ex argilla molli, æqualibus P & Q, ſint
11517. hi in contrarias partes moti, P velocitate ſex, Q velocita-
22TAB. XXL.
fig. 2.
te quatuordecim, poſt ictum velocitate quatuor motum con-
tinuat, Q ſecum ferens P.
Quia propter maſſas æquales hæ unitate deſignari poſſunt,
producta maſſarum per velocitates ſunt 6.
& 14. , quorum
differentia eſt 8.
, quæ diviſa per ſummam maſſarum 2, dat
velocitatem poſt ictum quatuor.
Experimentum 11.
Non differt experimentum hoc à colliſione in Experimen-
33518. to 7.
memoratâ, poteſt autem velocitas corporum 44TA. XXIL.
fig. 1.
ictum ex nunc demonſtratis determinari.
55511.
Multiplicando maſſam E per velocitatem 17. , habemus 51;
ſubtractis 6, producto maſſæ 2 per velocitatem 3, reſtat 45;
quibus diviſis per 5.
ſummam maſſarum, habemus velocita-
tem novem Experimento detectam.
Si corpus unum quieſcat, ex utrâque regulâ ſequitur cor-
66519. poris moti productum velocitatis per maſſam dividi debere
per maſſarum ſummam.
Experimentum 12.
Globus P ex argillâ molli in globum æqualem quieſcen-
77TAB XXI.
fig. 3.
tem Q, velocitate decem, incurrit, poſt ictum ſimul velo-
citate quinque motum continuant.
Corpus in motu alii corpori ſine impactione motum com-
88520. municare poteſt, in hoc tantum preſſione agendo;
in quo ca-
ſu ſi preſſio qua partes cohærent inter ſe ſuperet preſſionem
corporum mutuam nulla datur partium introceſſio, &
nulla vis
deſtructa :
ideoque ſumma virium ante & poſt 99488; eadem eſt.
Ut autem demonſtremus quomodo corpora mota, preſſio-
1010521. ne in alia, ſine impactione, motum communicare poſſint, con-
1111TAB. XXI.
fig 4.
cipiendum eſt corpus Q, quod formatur revolutione figuræ
a b c d (quæ ſemicirculo &
duobus quadrantibus termina-
tur) circa axem a c.

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