Book 1 
he a-axis, each 
Jits. The set of 
marked points 
a of the curve, 
tesimal orders 
various partial 
simal /, and of 
■ves. If a line 
irdinates of all 
der of / is the 
s of the points 
lint. A similar 
plane: 
iirection. 
be present at 
t direction, 
ian the north- 
nearest north- 
iqualities (13). 
m each of the 
3 oi q —a p . The 
lence the sum 
3 («m»An)> and 
irder (a m -cx z ), 
tr is oc m . The 
e the nearest 
irthest to the 
ntity divided 
der is 
all segments 
l as it shows 
to work out 
Chap. Ill 
REAL SINGULAR POINTS 
47 
Example 1. x 5 —5xy 2 -{-2y 5 = 0. 
The broken line has two segments. The first gives the terms 
-5xy 2 -\-2y 5 , 
and so the simple cubic curve 
5x = 2 y s . 
The second gives the terms 
x 5 —5xy 2 . 
And so the two parabolas 
x 2 = iV5y,