EPISTOLIS. ZH

Pificat numerum dimenfionum ipfius c in denominatore iftiusPremi termini. E. g. ut terminorum infra numerales co-ncientes inveniantur, pono n - 6, ducoque TT (numeralem co-ncientem ipfius in hoc eft, in i ; Sc prodit nu-meralis coefficiens termini proxime inferioris: dem duco huncrrin iLii, five in Lp, hoc eft, in f; Lc prodit £ numeralis co-

nciens tertii termini in ifta- columna. Atque ifta ^ x ^ ^cit t| t numeralem coefficientem quarti termini; ^facit

numeralem coefficientem infimi termini. Idem in aliis adln finitum ufque columnis prseftari poteft: adeoque valor ipfius

G per hanc regulam pro lubita produci.

6. Adhsec, .fi BF dicatur v, fitque r latus

^ e

/E/

G-

F 1

r -1

t.

AB

lipticus (°)

BG=

r 2 e — rx L rc‘-cx

_. Et yy + xx — xx X I +

rx

Ex Sinu.-

Hoc eft fi fraftio. —AL—, .divifionis opera, convertatur in feriem infinitam,' rc l —cx

yy.

4 b _ r >o __

+ = «X 1 + ^ + '^ + T 4 + ^5 + ^ + ' Er S° lIve • ftuxi0 ar -

cC s ell

>ptici DG

, = Wt+ ? - + ^3 + rM + r 3,5 ,v

" .. t\ v*

+ .

Vel, fi ODe formula- noftr* generalis, (Logiftic. Infinit.) radix quadratica feriei infinit* ex-

tr l ’ 11 °P ea " a 'ur, fl ux i 0 arc fts elliptici dg =

* x 1 + ijX* +

+

x*

2.r 2 .i - 4

-f i

2 .r 3. t -5

2.1 X 2.C

•4 i

2 X I X 2 .r.c->

2

2 3 X I x 2X3.^

■X---T

+

2 1 x 1 x 2-r l •£.

3 x 3

X*'+

2 3 X 1 X 2 X 3 .r.c 1

3X5

£ ... 2+xi X2 X3 X4.C 6

m "'lenti hujus feriei arcus ipfe dg xqualis erit. Hujus autem feriei fluens di ipfa quidem fe-

Newtoniana.

p r>Esi GNETUR e nim refta gf, ut prius, litera^. Arc. Ecli®.

ellipteos cd’ : cb 4 — gf 1 : af x fb, hoc eft, r : ab =_/ : ae,y — xx.

J? r& , _'_ r - —--

i-O y m ab a’ — xx X — rx— ex . Ergo 2yj — x X r — i». Et j,~xX

> ^ —i—-

tr go ii _ .. r 1 — 4nx+4e 2 x 2 ....

yy — xx-x - — - - —, Et yy + xx ~ xx X 1 +

r — 2 ex

2 v / rx — rar 2- i\xex +-4f 2 A-^ _ xx ^4 -r Xr — r.v 4-t;

' 4»-f X ^ 4<?

~ ~ 1 4C Et, .fi fraftio divifionis opera convertatur in feriem infinitam, yyExx'.

xx