Voltaire
,
Elémens de la philosophie de Neuton : mis à la portée de tout le monde
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fr
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free
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type
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<
pb
o
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247
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file
="
0269
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n
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270
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rhead
="
DE NEUTON.
"/>
<
p
>
<
s
xml:id
="
echoid-s3195
"
xml:space
="
preserve
">la diagonale B, D. </
s
>
<
s
xml:id
="
echoid-s3196
"
xml:space
="
preserve
">Or cette ligne B, D.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3197
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3198
"
xml:space
="
preserve
">cette ligne B, A. </
s
>
<
s
xml:id
="
echoid-s3199
"
xml:space
="
preserve
">conçues infiniment
<
lb
/>
petites ſont les naiſſances d’une courbe, &</
s
>
<
s
xml:id
="
echoid-s3200
"
xml:space
="
preserve
">c.</
s
>
<
s
xml:id
="
echoid-s3201
"
xml:space
="
preserve
">;
<
lb
/>
donc ce corps ſe doit mouvoir dans une
<
lb
/>
courbe.</
s
>
<
s
xml:id
="
echoid-s3202
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3203
"
xml:space
="
preserve
">Il doit border des eſpaces égaux en tems
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0269-01
"
xlink:href
="
note-0269-01a
"
xml:space
="
preserve
">Cette
<
lb
/>
démonſ-
<
lb
/>
tration
<
lb
/>
prouve
<
lb
/>
que le
<
lb
/>
Soleil eſt
<
lb
/>
le centre
<
lb
/>
del’Uni-
<
lb
/>
vers &
<
lb
/>
non la
<
lb
/>
Terre.</
note
>
égaux, car l’eſpace du triangle S, B, A. </
s
>
<
s
xml:id
="
echoid-s3204
"
xml:space
="
preserve
">eſt
<
lb
/>
égal à l’eſpace du triangle S, B, D. </
s
>
<
s
xml:id
="
echoid-s3205
"
xml:space
="
preserve
">: </
s
>
<
s
xml:id
="
echoid-s3206
"
xml:space
="
preserve
">ces trian-
<
lb
/>
gles ſont égaux; </
s
>
<
s
xml:id
="
echoid-s3207
"
xml:space
="
preserve
">donc ces aires ſont égales;
<
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/>
</
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">donc tout corps qui parcourt des aires éga-
<
lb
/>
les en tems égaux dans une courbe, fait ſa
<
lb
/>
révolution autour du centre des forces au-
<
lb
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quel il tend; </
s
>
<
s
xml:id
="
echoid-s3209
"
xml:space
="
preserve
">done
<
unsure
/>
les Planetes tendent
<
lb
/>
vers le Soleil, tournent autour du Soleil, &</
s
>
<
s
xml:id
="
echoid-s3210
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3211
"
xml:space
="
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">ſoit A, B. </
s
>
<
s
xml:id
="
echoid-s3212
"
xml:space
="
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">prolongée en C. </
s
>
<
s
xml:id
="
echoid-s3213
"
xml:space
="
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">ſoit B, H. </
s
>
<
s
xml:id
="
echoid-s3214
"
xml:space
="
preserve
">prolongée en
<
lb
/>
T. </
s
>
<
s
xml:id
="
echoid-s3215
"
xml:space
="
preserve
">le triangle S, A, B. </
s
>
<
s
xml:id
="
echoid-s3216
"
xml:space
="
preserve
">ſera égal au triangle S, B, H.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3217
"
xml:space
="
preserve
">car A, B. </
s
>
<
s
xml:id
="
echoid-s3218
"
xml:space
="
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">eſt égal à B, C; </
s
>
<
s
xml:id
="
echoid-s3219
"
xml:space
="
preserve
">donc S, B, H. </
s
>
<
s
xml:id
="
echoid-s3220
"
xml:space
="
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">eſt égal à S,
<
lb
/>
B, C; </
s
>
<
s
xml:id
="
echoid-s3221
"
xml:space
="
preserve
">donc la force en B, G. </
s
>
<
s
xml:id
="
echoid-s3222
"
xml:space
="
preserve
">eſt parallelle à C, H; </
s
>
<
s
xml:id
="
echoid-s3223
"
xml:space
="
preserve
">mais
<
lb
/>
cette ligne B, G. </
s
>
<
s
xml:id
="
echoid-s3224
"
xml:space
="
preserve
">parallelle à C, H. </
s
>
<
s
xml:id
="
echoid-s3225
"
xml:space
="
preserve
">eſt la ligne B, G, S. </
s
>
<
s
xml:id
="
echoid-s3226
"
xml:space
="
preserve
">
<
lb
/>
tendante au centre. </
s
>
<
s
xml:id
="
echoid-s3227
"
xml:space
="
preserve
">Le corps en H. </
s
>
<
s
xml:id
="
echoid-s3228
"
xml:space
="
preserve
">eſt dirigé par la
<
lb
/>
force centripète ſelon une ligne parallelle à F, T. </
s
>
<
s
xml:id
="
echoid-s3229
"
xml:space
="
preserve
">de
<
lb
/>
même qu’au point B. </
s
>
<
s
xml:id
="
echoid-s3230
"
xml:space
="
preserve
">il étoit dirigé par cette même
<
lb
/>
force dans une ligne parallelle à C, H. </
s
>
<
s
xml:id
="
echoid-s3231
"
xml:space
="
preserve
">Or la ligne paral-
<
lb
/>
lelle à C, H. </
s
>
<
s
xml:id
="
echoid-s3232
"
xml:space
="
preserve
">tend en S.</
s
>
<
s
xml:id
="
echoid-s3233
"
xml:space
="
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">; donc la ligne parallelle à F,
<
lb
/>
T. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">tendra auſſi en S.</
s
>
<
s
xml:id
="
echoid-s3235
"
xml:space
="
preserve
">; donc toutes les lignes ainſi tirées
<
lb
/>
tendront au point S.</
s
>
<
s
xml:id
="
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"
xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
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"
xml:space
="
preserve
">Concevez maintenant en S. </
s
>
<
s
xml:id
="
echoid-s3238
"
xml:space
="
preserve
">des triangles ſemblables
<
lb
/>
à ceux ci-deſſus; </
s
>
<
s
xml:id
="
echoid-s3239
"
xml:space
="
preserve
">plus ces triangles ci-deſſus ſeront pe-
<
lb
/>
tits, plus les triangles en S. </
s
>
<
s
xml:id
="
echoid-s3240
"
xml:space
="
preserve
">approcheront d’un point
<
lb
/>
Phyſique, lequel point S. </
s
>
<
s
xml:id
="
echoid-s3241
"
xml:space
="
preserve
">ſera le centre des forces.</
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
"/>
</
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</
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