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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EXAMEN DE L’OPINION
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8191521. </
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<
s
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<
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<
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<
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xlink:label
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xml:space
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">DES POIDS
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ſoutenus avec
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de@cordes ſeu-
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lement.</
note
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la différence d’un angle droit à l’angle NCT de
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(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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moins Yd; </
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<
s
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xml:space
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">c’eſt-à-dire, ſuivant les analogies de la
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table précédente, égale à 11. </
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<
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xml:space
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">{8827189.</
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<
s
xml:id
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xml:space
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">/10000000.</
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<
s
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xml:space
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<
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xml:space
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<
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xml:space
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">/625000.</
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<
s
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xml:space
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3. </
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<
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xml:space
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<
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<
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<
s
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xml:space
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">ou bien en réduiſant ces trois fractions à
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une même dénomination, égale à 12. </
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<
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xml:space
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<
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">/282000000.</
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<
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<
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xml:space
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">Ce qui
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donnera par une analogie encore ſemblable aux
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précédentes, 5. </
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<
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xml:space
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<
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<
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fondeur C p: </
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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:space
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<
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<
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comme le ſinus total 10000000. </
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<
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<
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de l’angle CPp de 25. </
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<
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<
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<
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<
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rence d’un angle droit à l’angle P 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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la {Subl. </
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<
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<
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">Cp} eſt ègale à {11. </
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<
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xml:space
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">{74566272432665199141.</
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<
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xml:space
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">/500000000000000000000.</
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<
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<
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<
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">{136767694854583.</
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<
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<
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<
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<
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<
s
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">De ſorte qu’en réduiſant toutes ces fractions à une
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même dénomination, on aura Cm + Cn - Cλ -
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Cp = 15. </
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<
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xml:space
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<
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<
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nous venons de faire, 1° CR = Oſ + Ou. </
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<
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<
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= Zq + Zr - Zl. </
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<
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<
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<
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= Yg + Yx - Yd; </
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<
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ſoutiennent ainſi le poids T; </
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<
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ſance E eſt (Prop. </
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proportionnelle OV de (hyp.) </
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