C 5^9 ] 
i:Vj. or AL-.AK-.-.Vl-V* > and ( becaufe 
A K :AC : : i --Vi) AL: AC :: I'V*; t hat is > 
the Angle CL A is that, whole Tangent is to the 
Radius as \/ 2 is to 1, or as 14142 1 3 5 to 10000000 ; 
and therefore is of 54°- 44-'- 08", and confequently 
the Angle of the Rhombus of the Belt Form is that of 
109°. 28'. i6 // . 
By this Solution it is further eafy to cflimate what 
their Savings may amount to upon this Article, in 
confequence of this Conflru&ion. Had they made 
the Bale flat, and not of the pyramidal Form deferibed 
above, then, befides completing the Parallelograms 
CGNK and BMNIC , the Surface of the Bale had 
been 3 CBxAK ; what they really do form amounts 
in Surface to the fame Parallelograms, and 3 C Bx A H: 
the Savings therefore amount to 3 CBxA K - — A H 
— 3 C Bx A Hx — — ^7— — > which is almoft a Fourth- 
part of the Pains and Expence of Wax, they beflow 
above what was neceflary for completing the paral- 
lelogram Sides of the Cells : And at the fame time 
they feem alfo to have other Advantages from 
this Form, befides the laving of their Wax; fuch as 
a greater Strength of the Work, and more Conve- 
Co • 
niencc for moving in thefe larger folid Angles. 
It remains that we fhould fhew, that the plane 
Angles C L B> CL A 7 , and B LN, are equal to each 
other. We before found, that KL'.ALw 
KC:BC::KA : ( — \KC ) ACi confequently 
K L : KA : ; A L : AC, and the Triangles L K A y 
L A C, are fimilar : Therefore L K : A L : : 
A L : LC : : KC : B C : : 1 : V 3 , and L C = 3 L K. 
With the Centre L and Radius LC y de- 
feribe in the Plane CGNK the Semicircle ^ A a B ‘ L 
C D CTj meeting the Line K N, in C D and T 5 v 
join 
