384 Mr John Sang on a Convenient Arrangement 



Diameter of the circle being 100, 



Minor diameter of ellipse in plane, a o 6 = 77.32 



loc= 2055 



coa = 63.42 



Major diameter of ellipse in any of these, =: 102.09 



(2.) For scales 25, 30, 40 ; o « and all oblique lines being 

 on scale 25 ; <? ^ on scale 30 ; oc on scale 40. 



Angle aob =: 98.24 

 6oc = 105.27 

 coa = 156.9 

 oa being 100, ab =z 139.2 

 &c= 142.7 

 ca =. 131.3 

 Minor diameter of ellipse in aoh z=. 80.74 



6oc= 20.62 



coa:=i 59.00 



Major diameter, . , . = 102.10 



(3.) For scales 10, 20 ; in this o a, a b, and all oblique lines 

 are to be measured by scale 10 ; o c by scale 20. 



Angleao&= 97.10 

 hoc •=. coa ^=z 131.25 

 ah- 150.0 

 6 c = a = 138.3 

 Minor diameter of ellipse in aob •=. 93.54 



in 6oc or coa = 35.36 



Major diameter, . . = 106.07 



(4.) For the scales 10, 30 ; in this a a, oh, and all oblique 

 lines are to be measured by scale 10 ; o c by scale 80. 



Angle a & = 93 11 

 6oc = co« = 138.25 

 a 6 = 145.3 

 6c = ca = 125.3 

 Minor diameter of ellipse in a o & = 97.18 



in &0C or coa == 23.57 



Major diameter, . . == 102.74 



(5.) For the scales 20, 30 ; in this oa, oh, and all oblique 

 lines, are to be measured by scale 20 ; o c by scale 30. 



Angle aoh z=z 102.60 

 6oc = coa = 128.35 

 abz=. 156.3 

 hcz=^caz=i 150.9 



