Varignon, Pierre
,
Projet d' une nouvelle mechanique : avec Un examen de l' opinion de M. Borelli sur les propriétez des poids suspendus par des cordes
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DEM. BORELLI.
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tion, égale à 10. </
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<
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xml:space
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<
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<
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<
s
xml:id
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xml:space
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">Aprés cela O V étant à Z R,
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<
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right
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xlink:label
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note-0183-01
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xlink:href
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xml:space
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preserve
">DES POIDS
<
lb
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ſoutenus avec
<
lb
/>
des cordes ſeu-
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lement.</
note
>
comme la puiſſance E à la force dont le point Z eſt
<
lb
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tiré ſuivant ZO par le concours d’action des puiſ-
<
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ſances D & </
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<
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xml:id
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xml:space
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<
s
xml:id
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xml:space
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<
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force, & </
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>
<
s
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xml:space
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">l’angle R Z C étant (hyp.) </
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<
s
xml:id
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xml:space
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">de 112. </
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<
s
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xml:space
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<
s
xml:id
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xml:space
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">15.
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</
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<
s
xml:id
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xml:space
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">min. </
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>
<
s
xml:id
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xml:space
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">ſa diffèrence à un angle droit; </
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<
s
xml:id
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"
xml:space
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">c’eſt-à-dire,
<
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/>
l’angle ZRr ſera de 22. </
s
>
<
s
xml:id
="
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"
xml:space
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">deg. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">15. </
s
>
<
s
xml:id
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xml:space
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">min. </
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>
<
s
xml:id
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xml:space
="
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">Ce qui don-
<
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nera par une analogie ſemblable aux précédentes,
<
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/>
3. </
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<
s
xml:id
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xml:space
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">{74265285916559.</
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<
s
xml:id
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xml:space
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">/200000000000000.</
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<
s
xml:id
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xml:space
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">} pour la valeur de Zr ſublimité de cette
<
lb
/>
force: </
s
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<
s
xml:id
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xml:space
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">puiſque ZR de 10. </
s
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<
s
xml:id
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xml:space
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">{24642813.</
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<
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<
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<
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xml:id
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<
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xml:id
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<
s
xml:id
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comme le ſinus total 10000000. </
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<
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xml:space
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s
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<
s
xml:id
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xml:space
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<
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de l’angle ZRr de 22. </
s
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<
s
xml:id
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xml:space
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">deg. </
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<
s
xml:id
="
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xml:space
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">15. </
s
>
<
s
xml:id
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xml:space
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">min.</
s
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<
s
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xml:space
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"/>
</
p
>
<
p
>
<
s
xml:id
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xml:space
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">Soit enſuitte 1°. </
s
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<
s
xml:id
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xml:space
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">C M égale à Zq plus Zr moins
<
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Zl; </
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<
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xml:space
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">c’eſt-à-dire, ſuivant les analogies que nous ve-
<
lb
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nons de trouver, égale à 11. </
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<
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xml:space
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<
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xml:space
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<
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<
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xml:id
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xml:space
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<
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moins 2. </
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<
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xml:space
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">ou bien en réduiſant ces trois frac-
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tions à une même dénomination, égale à 12. </
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<
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xml:space
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<
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/>
</
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<
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xml:space
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">Ce qui donnera par une analogie ſemblable aux pré-
<
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cédentes, 11. </
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<
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<
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xml:id
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ſublimité Cm: </
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<
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xml:id
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<
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xml:space
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<
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<
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<
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<
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{745662724;</
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<
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<
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<
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8689196. </
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<
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<
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<
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<
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<
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min. </
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<
s
xml:id
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M C T de (hyp.) </
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<
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<
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<
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<
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<
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</
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<
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<
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<
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<
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à-dire, ſuivant les analogies de la table précédente,
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égale à 9. </
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<
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xml:space
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<
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<
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<
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<
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<
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xml:id
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ces deux fractions à une même dénomination, égale
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à 16. </
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<
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xml:id
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xml:space
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<
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xml:id
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<
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blable aux précédentes, 13. </
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<
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<
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leur de la ſublimité Cn: </
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<
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<
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xml:id
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xml:space
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<
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xml:id
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<
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xml:id
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13. </
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<
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<
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<
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<
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</
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