64 
tion to a. The series of points B" and ,1V;7 being moreover simi- 
ogi USE 
lar, also the joins B’ ,1Vir xC of corresponding points of these 
nei He 
series pass through one fixed point Q,, likewise situated on the 
line ABC. 
The series of points C and C are therefore similar. 
seal fe Sell: 
Their double point at finite distance supplies the point C, while 
a 
the line C Q, determines the angle of inclination in question. 
AWD 
155. Also in the case of a charge of 1 metreton at C the beam 
is cut above B. In this case, however, the elastic support of B is 
1 
charged by a force of 7 ton. Consequently the point B rises by an 
if ie 
amount > i and the beam AB assumes at 5 an angle of inclina- 
| 
tion EP If for ABC a link-polygon is drawn on the supposition 
M,z=0, the side III, IVi Vis (indicated in the diagram by 
BC"), hence also the side Vim C, is fixed. 
01M 01M 0,11 
— 1 
The point C, conjugated to C lies — below C. 
0,1M om L 
Now a second construction would be necessary for a moment of 
transition Mp==1 metretons in order to construct, in addition to 
the pair of points C, C just found, a second, which would make 
0,1 01M 
possible the determination of the double point of the series C and 
x1 M 
C. The situation of this double point, however, depends exclusively 
x1 ‘ 
Geul 
_ 01M 11M Gane 
upon the ratio “Gq, which in its turn only depends upon the 
01.7 11M 
situation of the centres of rotation that appear to exist for the 
sides IIx, xlViag and IVi, xVlijg and of which in the diagram 
only that of the sides ,1Via, xVlij has been indicated as Q’s 
According to the reasoning of § 7 however, these points must lie 
perpendicularly above the points P, and Q,. 
The ratio in question has therefore already been found (fig. 3a) 
Cee 
Ss foar 3 ’ Ar 
in the ratio “~~~. Hence the double point C, when once C and 
nel Op 1M 01M 
IE phy 
eS 
