2

De Difi antiis Comet Arum invefiigAndis.

Ponamur,

CBE.EF

FE=e. A E — a. BC = c. BD — d. Et <CM.MG :: t

CDN.NH: \

Frgo,

GM=»{, AM — ma. CE = c-|-/V. D E =: d -E-fe.H N -j=: n<e. A N = »

BE — f e. ' EM tr a*\-ma.CE—ME — CM.. DN — DE—EN.C M — gme. EN—d-\~nas-\ fe- a—ma—gme.hne—d-\ fe- a ■ naDN = hne. c -\~fe—gme=a -j- ma. a-[-na—d-\-fe - hne

c .'dcI e ^~Ä m ,__ d-\--fe — hne .

m -\-1 " n- 1-[

Ponamus deinde (ad abbreviandum Calculum) = &

K-j~i —l. Ergo,

lc-\-lfe — lgme—kd-r-kfe — bhnelc — kd~ kfe — Ifc — hbne-\-lg>neIc kd

kf — If—fzbn -1 Igni C ' / *

Habetur igitur quantitas c-FE: Adebque PuqctumF; &inde Puncta reliqua, iplaque AF GH quaesita. ,

Notandum intferim, pro vario situ Punctorum C, D,i ad B, A ,variari signa -t- —: Ita tamen ut Calculus nihilo inde evalurussit perplexior ; sed eodem plane modo processurus.

Puncta A, E, M, N, eundem inter le ordinem retinent, quemA, F, G,N qui ex datis statim constat. Pro vario autem illorumsitu, Aquationes conspicientur in hac varietate subscripta;■nempe,

Ordo.

t Aquatio.

E AN

ENA

a — na— *

. EN*

NEA

na — a J

EAM

a -]- m a — j

>

EMA

a — "ma — *

»EM.

•MEA

ma-^—a

i

CBE

c -f- fe — p

BCE

c —fe — >

. CE.

BEC

fe — c = J

D BE