264

CAPUT X. DE VARIATIONE

quarum hacc fecundum VR ipll LO et VN ipfi ML parallelam refo-luta dat

M aafn cof» a (aa cof « 2 * -f bbfm z — cc)

vim fec, VR

et vim lec. VN =

. 2 fg r

Mss/w 2 coni (aa cofm 2 bbfm z — cc)

■fg

quarum illa VR fupra littera R efl indicata. At quod fuprn erat Q_cof<f— P/J', qua exprc/Hone vis ad IV in plano A1B normalis denotatur, hicefl vis VM cofMIV — vis VN (inMIV, unde prodit

.. . Maafm cofm cof» 3 ( aa — bb ) (aa cofm 2 4 - bhfm z — cc)

Qcol<l — l/d-:-:-------.---

2 JgJi** c<)1 ’n z + b*fm z +c* - 2CC yaa coi m z + bbj'm z ))

_ ' (bb — cc) fm

Cum porro ht tangd — —--— ent

co

(1 =

(aa — cc) coi m

(aa — cc) co fm

S(a 4 coi m z -j- b*fm z + c 4 — icc (aa co fm z -j- bbfm 2 ))

His definitis fit jam 1F axis ille, circa quem illae vires corpus, 11 qui-eicerct, eflent gyraturae, du&oque ex F in planum AIB perpendiculoFE, vocentur anguli AIE =. jj et E1F = ac per probi, 6 o. con-fequimur:

aa cof<? aa (aa — cc) cofm

tano« ~~ ——, ... - — —. pt

° ' bbf$ . bb(bb — cc) fin;» ' •

QcoQ—Pftf fin m cofn (aa — bb) bb fin»

= . bbfn =-- -A-^

Rrrcold cc (aa _ cc) iinti

Denique tempufculo dt circa hunc axem IF angulus da> generabitur, ut fit:

xudt z fn cofn/(a 4 (aa — cc) z cofm 2 + i 4 (bb — cc) 2 fm z )

da) — ------— .__

2 a a b b cofA

yu{aa — cc) dt 2 cof m fn cof» nn(bb—cr)dt z fm fncofn

leu da — - — - rr - = -- —z „ -,

ibbjyicollj zaacolticoify

CORO LL. i.

666 . Si pro axe gyrationis propofita 10 ponantur anguli OIA = «;01B — C; OiC = y; at pro axe gyrationis eiementaris 1F anguli FIA- A; k!k B; F 1 C-C; erit

coCct = cofm cofn; cof§ — fm tu cofjr; cofy = fin», atquecofA — co fr; cof 3 -5 coi23 = - luit; cofZ; cof E — fin A.

CO -