ELASTICIS,

r-r

]<p = 4, 797738152Jsubtr. ----- 5. 3 144251332

57,483313019$ergo(p = 0,3043077545

add. ~ ic = 1,5707963268

•i. == 1,8751040813

c

quo invento, erit ~ = tang. i 0 = 0,1533390624.Repetitur

ergo ratio constantium A 8 c B, ex quibus & ratio reliquarumconstantium C & D ad illas cognoscetur.

75. Restat adhuc prima aequatio b = ./^ 4 - B + -D , quaeob D = A + B, abit in b = 2 /4 4 - 2 22 ; ideoque A 4 - B

= i £: cum ergo sit ~ = tang. i cp, fiet 5 s 1 + tang. 4 ^)

=* ■*> & 5 = TT^FT^- Unde ex nns ' 4 ® =

0. 1533390624 singulae aequationis constantes sequenti mododeterminabuntur :

A

tang. 10

0. 1533390624

b

* C 1 Hh tang. 10)

z ,3066781248

B

1

1 , 0000000000

b ~~

2 ( 1 -f tang. i 0 )

2,3066781248

C

— 1 + tang. 10 _-

— o. 84666093 76

b ~

2(1-4- tang. 1 0)

2, 3066781248

D

1 4 - tang. 10

t, 1533390624

T

i ( 1 4-tang. 4 0)

2,3066781248

quibus inventis, natura curvae aMB, quam lamina inter oscillatiodum induit, hac exprimetur aquatione

y _£

b b

X

C*

76. Quod autem ad

— , C r x , D r x

* 4 —-r sin.-b t cos. —.

b C b C

oscillationum velocitatem attinet,O O L

eä

ex