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

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11056PHYSICES ELEMENTA

Ut exactiſſimè experimenta inſtituantur, minora trian-
gula rectangula chartacea, aut potius lignea, ſunt adhiben-
da, & ſuper his planum inclinandum; ut commode & ex-
acte longitudo plani cum altitudine conferatur.

Experimentum 8.

In hoc Experimento eâdem ac in præcedenti utimur Ma-
11241. chinâ. Corpus M plano inclinato AB impoſitum, ſuſtinetur
22TAB. IX.
fig. 6. potentiâ trahente per MS; concipiantur linea MR, ad ho-
rizontem perpendicularis, & ASR ad plani ſuperficiem
normalis: in omni caſu ubi pondus P eſt ad pondus corpo-
ris M, ut MS ad Mr, corpus quieſcit.

Pondere ſuo corpus M trahitur juxta directionem RM,
plano inclinato ſuſtinetur directione ad planum perpendicu-
lari, & Experimentum reducitur ad propoſitionem n.
220.

Experimentum 9.

Vectis ACB brachia ſunt æqualia, & angulum formant,
33242. ita ut ſi AC continuetur verſus D, & BD ad CD perpen-
44TAB. IX.
fig. 7. dicularis ducatur, DC ſit dimidia pars ipſius BC aut CA.
Appenſo in A pondere p unius libræ, & in B pondere P
duarum librarum, poſitoque brachio Ca in ſitu horizonta-
li, datur æquilibrium ; quia pondus Pagit quaſi in 55175. recto in puncto D eſſet ſuſpenſum .

66128.

Mutentur pondera, & majus ſuſpendatur in A, minus
77TAB. IX.
fig. 8. vero imponatur brachio BC in B; ſi plano verticali illius ca-
ſus impediatur, dabitur iterum æquilibrium.

Brachia vectis ſunt æqualia, & æqualiter motu vectis mo-
ventur: vi ergo ponderis P pondus p quaſi trahitur verſus
E in directione ad brachium BC perpendiculari; Ex actio-
ne plani verticalis premitur corpus illud horizontaliter; &
tandem vi gravitatis verticaliter pellitur. Tribus igitur po-
tentiis trahitur pondus p, quæ ſunt inter ſe ut latera trian-
guli BED ; Vis ergo tendens terram verſus (pondus 88220. ſe habet ad vim trahentem E verſus (pondus P), ut BD ad BE,
aut DC ad CB , ſeu Ca; id eſt, ut unum ad duo; 998. El. VI. etiam eſt ratio inter pondera p & P. Et hìc ergo ratio

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130	70

Scan	Original
101	50
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105	51
106	52
107	53
108	54
109	55
110	56
111
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114	57
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116	59
117	60
118	61
119	62
120	63
121	64
122
123
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125	65
126	66
127	67
128	68
129	69
130	70

Scan	Original
101	50
102
103
104
105	51
106	52
107	53
108	54
109	55
110	56
111
112
113
114	57
115	58
116	59
117	60
118	61
119	62
120	63
121	64
122
123
124
125	65
126	66
127	67
128	68
129	69
130	70