[GLASHAN] ALTERNATE NUMBERS AS GEOMETRICAL INDICES 183 
2. (m— me — mee” =3n 
And, (m= mere — 93e iz) (ae —be” Le Fa Gees) —9A 
wf.  Aë=n(aa—be Ce — ce’ es) 
and €4= Xe; + V16 + 2163 
€5 = X2€1 + Yree + 2263 
pe’ =| a hem eco, 
X1 M1 31 
X2 Ye 22 
PE 
p=ViXVe. 
X. To determine 6, the numeric of the perpendicular distance of 
the point of index e from the line of index 7. 
sae Ne, + Les +ves 
À+u+v 
Ae Peres + ese: + eres 
2A 
Let 
and 
then will 
ee AD +ug+vr 
on an à 
_ (A +mut+nr)A 
Sere 
© 
Il 
bo 
a) 
XI. To determine 6; the numeric of the angle between the lines of 
indices 74, M5. 
Let &, €2, €, m1, m2, m be the indices of the angular points and the 
sides of the triangle of reference and € be the index of the point of in- 
tersection of the lines of indices m4, 5, then will 
nsn2=s sin A. & m3 =? sin B . & 
mm=? sin C.6 nsm4=s sin 0.e 
ps apim +bqine + Cris 
2A 
apem + bqone+ cr2n3 
2A 
Hite = be(qite — ar) name Ca (pots — pire) nins+ ab (pige — bog) nem 
4A? 
Let 
and 15. = 
Sec. III, Sig. 4 
