312

EXGER' PTA EX

Ex SinuVerso.

Ex Sin.Vers.

BG=>/raini + 2! - 2 I +4

- \e J 136 + 2> e }x* - <?e

■ - 3 r

-103 + 2 >oe

-j£_

$r x

+ V^ [ X + 8cc.

-jzf) + ¥* B l

7 r 3

,45 />4 1■ * 8 g ,

9 r 4

7. Quare, fi ambitus totius ellipfeos defideretur ; bifeca cb in **8c quaere arcum dg, per prius Theorema, 8 l arcum bg per p°'terius.

8. Si, vice verfa, ex dato arcu elliptico dg, quaeratur finus ej uS

CB :

'cf ; tum di£to CD=r, ^ = c, 8c arcu illo DG-L; erit

:> ,

l

C) cr

- e 2 a 2 e^x > ' r 4>4 , _

— Xr+ 4—34.4? + “ + + — +• Ergo */jj + xx, live fluxio artus elliptici B

44 1 ___

x v / - e L .x l « 4*4

7 T* \j r+ + “ + “ + 7 T +

Vel, fi ope formulae noftr* generalis (Logiftic. Infin.) radix quadratica feriei infinita ext^tur, extraftaque dividatur quantitate

Fluxio arcus bg rr — x r*x ?+ 22

— i!

2

+ i

i 2

'X 1 16 — 24^+9/

2 2 + I X 2

Xf +

+ -2

_ 8f,I - 6e32 Z X I X 2

tf 2

4- 3 ^ 1 3 x 3

+ 2 3

J 1 X I X 2 x 3

+ 5!

2

— ^4

2 X 1 X 2

+

z X i6e — 2417 3 -f 9^4 x 3

2 3 x I X 2 X 3

4 ~ i ^l 4 x 3 x g_

2 + xiX2X3X4

Hinc arcus bg — + 2

3 f i AT 1

e 2

+ -2

16— 24/?+ g<?'2 2 x 1 x 2

r<

S r i

+ d

2

8?-6-r

2X1X2

L F

4 -Zc! 3 xz ^^ 2 3 X I X 2x3

7 'i '