UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Mathematical Model Catalog (1892 - German) [PAGE 54]

Caption: Mathematical Model Catalog (1892 - German)
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38

A. Brill, Singularitaten algebraischer Curven.

Die entsprechenden reciprocen Formen, die durch Auftragen von y und 10v als rechtwinkligen Coordinaten entstehen, sind:

3 Beispiel (Schnabelspitze): y = x = X2, y = X4 + X5. Fur Pl = 2X,

x2 ~f- xT ~ ~ .... oder |

•. = (4 + ^)(X-.)-^(x' + 4xa + ^ IB 8 . . -. wo a = 1 x = — s, b = — — s gesetzt ist, wird: o o X2 u = g bX + 2 aX2 -f- ^ X3 v = |^ + aX* + | XI

y = bX3 + aX4 + X5