Full text: Lehrbegriff der Optik und Perspectiv ([Theil 7])

XXVI. Abschnitt. 
/sin A + f sing 
5' 
cosA 
iiiiA+Ä)/ mithin F't= 
—/taug A Ff sin* sec A. Eben das giebt die Be 
trachtung der Figur, weil auch F'/—F'K + K/— 
FT-fKs, und man erhält weiter 
(/ sin A + f sin k) [h— f cos(A + g)] 
¿u=il : '— F'«= 
[h—^cos(A-f-g)] colA 
[/— f cos(AF*)] Cf sin g + h sin A) 
—. Die 
tcc 
Es ist 
[/i — fCos(Ä-t-e)] cosA 
Differenz der Zähler findet man f (h—/) [sing+ 
sin A cos(A + g)], also 
q (Jl—k) [sin g +sin A cos(A+g)] 
[/—f cos(A-f g)] cosA 
aber sing+ smA cos(A+f) = sin e + smA cosAcosg— 
sinA 2 sin 5 — coi A 2 sin g F lin A cosA cosg — cosA sin 
, e (A—/) sin (a F g) 
(A+i)/ MlthlN /«= . 
h—^col (AF*) 
Eben so findet man, wenn man sich erinnert, daß 
in Fig. »02 die Puncte cc und s auf einerley Seite 
von liegen, ts ¿F'— F / g = 
(/sinAFfsinb)[AFfCosA-ff)]-[/FfcoffA-g)](fFsingFAsinA) 
[A+ f cos(A — g)] cosA 
f (A—/) [sin 8 — sinAcos(A— g)] 
-=— 7- ——7 : weil ferner 
[/¿Ff cos(A— ff)] cosA 
sing—sinAcos(A—g)—sing — sinAcosAcosff—sinA 2 
sine—sin? cosA 2 —sinAcosAcose=cosA sin (e— A), 
und cos(A—e) —cos(e — A), so wird 
— 
f (A— /) (e — A) 
AFf coi(«— A) 
§. Z8s.
	        
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