[ 16& ] 
Hexagon, Three are equal as well to each other, as 
to the folid Angle at th z Apex of the Figure, each 
of which folid Angles is refpe&ively formed from 
Three equal plane obtufe Angles: And the other 
Three folid Angles arc alfo equal to each other, but 
feverally formed each from Four equal plane acute 
Angles, Supplements to the former obtufe ones. 
By this Form the utmoft Improvement is made of 
their Wax, of which they are on all Occafions very 
faving, the greatcft Regularity is obtained in the 
Conftru&ion, and with a particular Facility in the 
Execution ; as there is one fort of Angle only with 
its Supplement, that is required in the Structure of 
the whole Figure. 
Monfieur Maraldi * had found by Menfuration, 
that the obtufe Angles of the Rhombus’s were of 
no Degrees nearly; upon which he obferved, that 
if the Three obtufe Angles which formed the folid 
Angles above-mentioned, were fuppofed equal to each 
other, they muff each be of 109°. 28'; from whence 
it has been inferred, that this laft was really the true 
and juft Meafure of them: And lately Monfieur de 
Reaumur *f* has informed us, that Mr. Koenig having, 
at his Defire, fought what fhould be the Quantity to 
be given to this Angle, in order to employ the lead 
Wax poffible in a Cell of the fame Capacity, that 
Gentleman had found, by a higher Geometry than 
was known to the Antients, by the Method of Infi- 
nitefimals , that the Angle in queftion ought in this 
Cafe to be of 109°. 2 6*. And we fhall now make 
* Memoir es de l’ Acad. Roy ale des Sciences , 1712 . 
f Memoires fur les Infeffes, Tom. V. 
it 
