[ 4 ] 
A B h* + M -\-^\Aac fi. 
et preffio Integra = x + ^ = 
AB{a + bf -\-AM {d^ + ac,j.) ( i + ^) 
!■ Mill I — I I I I— — — ■■■ MlWi^— 
A -\- B b'^ M ^ A a c fji 
Si jam fridionem et pondus machinae excludere pla- 
cuerit, habetur preffio Integra — A B {a by-, et II, 
Aa^-yBb^ 
ut in troclea evenit, fupponatur a ■=. b^ erit preffio In- 
tegra :=^ A B {a ay = ^A B 
{A-\-B)a^ A + B 
ChrifHanus Hee, 
Profejfor Matbef. et Pbyf. Experim. in Statu Navali Haf- 
vienji^ Societatum Scient. Hafnienfts et Berolinenfts 
Membrum. 
II. An Invejligation of a General Rule for 
the Refolution of Ifoper metrical Problems 
of all Orders. By Mr. Thomas Simpfon, 
F.R.S: 
Read Jan. 9, r“T~' H E different fpecles of problems 
» 755 - comprehended under the name of 
Ifoperimetrical ones, are of much greater extent 
than the name imports ; fince, not only the deter- 
mination of the greateft areas and folids, under 
equal 
