Full text: [Wahrscheinlichkeitsrechnung und Geometrie] (4. Band)

248 
DISQUISITIONES GENERALES 
suppeditabunt determinationem, coëfficientium a, ë, y, <5. Erit scilicet 
. ./F sîn(a) 4~«jp 
ŸÆ' ‘ sin co' 
./jE sin(ÿ — m) 
1 V G'’ sin ai' ’ 
? ./ G 
sin (ai'— <];) 
sino/ 
sin 
sino/ 
Adiungi debent aequationes 
cos o> = ’ costo== 7W'’ smw; =V—eg~ • sm(0 = v/ 
unde quatuor aequationes ita quoque exhiberi possunt 
a\J[E'G'— F'F') = v^G'. sin (oj + «/—<(;) 
6^(.E'G’—F'F') = \J GG r . sin(a>'—<[») 
ys/{E'G'—F'F') = vfJSJB'.sin (6— a>) 
h\/{E'G'— FT) = v/GJS'.sincj> 
Quum per substitutiones djy'=adp-j-bd</, d</'=ydjo-(-()d</ trinomium 
2 i^'dy. d</-j- Cr'd#' 2 transire debeat in J57djp 2 —|— 2 i 71 dp. d# -f- 6rd^ 3 , fa 
cile obtinemus 
EG — FF == (ETG'— jP'.F')(a8 — 6y) 2 
et quum vice versa trinomium posterius rursus transire debeat in prius per sub 
stitutionem 
(a 6— 6y)dp = c)d//—bd</, (a 8—by)d</ = —ydjt/-(-ad q 
invenimus 
EU-iFyB+Gyy = 
-E88—F{aS-{- 6y) + Gay = —e‘0’— f'P' ■ ^ 
JS86—2i\x6+G(xa = 
22. 
A disquisitione generali art. praec. descendimus ad applicationem latissime 
patentem, ubi, dum p et q etiam significatione generalissima accipiuntur, pro 
p, q, adoptamus quantitates in art. 1 5 per r, cp denotatas, quibus characteribus
	        
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