CONFORME ABBILDUNG DES SPHAROIDS IN DER EBENE.
165
logw # = logiV—Ax — By — \Cxx — Dxy — \Byy...,
so wird hienach:
all =—Ax — By aR — Ay — Bx
$RR = — \Cxx— Dxy — \Dyy fi'RR — [C— E)xy — D{xx —yy)
etc. etc.
? = +lzBx + {iD + T ' ir AB){xx—yy)
— \Ay -f-( \-\E ttAA-J-ttBB)xy...
<I> = -\-\Bx-\-[\B — T S-AB)[xx — yy)
— \Ay + (— \C-\-\E+^AA—frBB]xy...;
r = iV(I2 + ^ojKJ2 + (^ß + -i-aa — ^ T a'a')R?...)
logr = logiV'i^ + i-aE4-(4-ß + T V( act — o.'a))RR...
= log №R + (tV? + *(a« “ •..
= lo gN*R-Th{C+BB-AA)xx
-t 1 T {D—2AB)xy
-Y i T^ + AA~BB)yy
etc.,
wenn № der Werth von n* für den Punkt in der Mitte der geraden Linie [also
log № = log .ZV-f* \ fl RR -j-... ist].
Es sei nun
[log» =] log^f = [e -\~ e '%+ 6"xx + ...)(F+^) 2
+ (f+f x+f"xx + ...){Y+yY
+ C? +...) (F+3/) 6
etc.,
indem die zweite Coordinate [im Anfangspunkt] = Y [ist], so ist
— logiV = eYY + f'Y i + gY e ...
A = e'YY+ f'F‘+ g'Y“ ...
B = ieY +4/T 3 + 6gY 5 ...
iC = e"YY+ f"Y‘ + g'Y" ...
D = 2e'Y + ifY*+6g'Y* ...
±E = e +6/'FF+15^F 4 ...
etc.