66 
TON 
fig. 3a by oe for a reason mentioned before. 
or uT 
In an analogous way by the aid of the link-polygon A. um vay D 
0 00 
the endpoint ne is determined for the beam ABCD onse as a 
whole. Of this polygon, belonging to the moment of transition 
Mc=0, the side Q", C VIII and therewith VIII D is determined. 
Os O7 0 0 0 .00 
The situation of the double point ee of the series of points D and 
yO 
D, which appear through the Hitesdheee of various moments of 
yO 
transition Mc and of which only the points D and D are known, 
00 „00 
DD 
is again found with the ratio ait which appeared already in 
Oli it 
fig. 3a. 
Finally Ë is determined by the aid of the link-polygon Q,” 2 Bie L, 
of which i extreme point E forms together wie a pair Ean 
„0 
of the series BE and #. The ratio in which the fra. E E must 
Z O38 
be divided by ine required point #, has also been found already in 
Br 
fig. 3a by the ratio == by the introduction of a moment of 1 
4) 1 
metreton above D. be 
The endpoint Z of the link-polygon in question is therefore fixed, 
so that no more is necessary than to construct the polygon itself. 
In the first place the side # XI can be drawn through Q',, then 
XIX D" through Q",, XIX through P,’ and IX VIII through D". 
The last side cuts with VIII VII from /g a piece of known length; 
hence VIII VII ean also be drawn. This side cuts dg," in a point 
Q,'", which enables us to determine the point P,’ through which 
the aie VII VI is to be drawn. 
While the supposition was made that no moment of transition 
existed in D, the sides VI VII and VII VIII on the introduction 
of various moments of transition Mc had to rotate round fixed points 
P and Q, which were determined as the intersections of the lines 
lp, and /g, with Q," C. But the moment of transition in D influ- 
‚0 
