(75%) 
. A tque hoc momentum per pfeni D C /3 /2 magnitudinem, puta per du 
vifum jj exhibet plani diftantiam Centri gravitatis ab A — ; adeoqne di- 
44j " ' ' ' ' ' '•" ji rrw . pl 
ftantiam ejufdem a D />, d - — y : . 
: . :Hxcicaqu;eaD^'diftantia,in ft ; - (platti'magn-itudintm) dufta- cxhibet 
dpi — : A b 2 ejufdem DC & jS momentum refpe&u D 0 feu Ungulam ei- 
dem D C $ $ infiftentem, cujus acies fit D 
, Hadc deniqne Ungula (cu jus altitudo, m D nulla fit, fed, in C /3, ipfi 
DC aequalis:) fi ex planis ipfi DC I 5 parallelis conflari intelligatur ; 
e.unt ea, C D# £ , C d ; 3 $ , & fic deinceps • hoc eft, aggregatum omni- 
um C d /3 C d & & ufque ad CD^. . 
Sunt autem^ea plura \ute%Gregorti de SanUo Vincentio, aliOrumque poft 
ilium, do&rina conftat) tanquamLogarithmi ^rithmetice proportionalium 
Cd, C d, &c. ufque ad C D • ( feu 2a, 3a, &c. ufque ad A . Ergo Ungu. 
la ipfa, eft eorundem /ggregatum. Hoc eft (poficoD = i,) dpi — A b* 
— p i_ Ab 2 . Quod oft endendum erat. 
b 2 l b 2 ab z a 2 b 2 a 2 S 2 
Porro j cum fit — — - ( ~ d'$ ) =m ■ — - — - + J ; — &c 
f Quod dividendo b 2 ' perd— a, patebit ;) vel,pofitod z=z 1, (quo ipfius ^ 
poteftate* omnes deleantur, ) b 2 a b 1 ' + a ' b a + a * b 2 &c - feu 1 -f- a 
b 2 b 2 2a b 2 4.a 2 b? 
-f- a 2 4- a? &c. in b\ & fimiliter — — — .-f- [- ■ — — ■ 
1 1 d-23 i d . d* d* 
8a5b 2 
k & c ; b a -f ^ a l> s + '4^ b a + 8 a 2 b 2 &c. =b 2 in 1 
-j- 2a -j- 4 a 2 -j- 8 a ? , &c. & fimiliter ityreliquis : 
Emm omnes d & ((patium \ i -~ 2 a -f"4 a2 -H^ a? *4~ T ^ a4 
D C /S ^complcftentcs,^ L ^j_ 3a ^ pa 2 -[-8 ia4 &C. 
Adeoq-, f per Arkhm. Infin. ) deinceps ufque ad . 
prop.64.)omnium Aggrega- ( I-[-A -j-A 2 -j-A 5 , A4 fe. 
turn, feu ipfum D C,S /3 fpaii- , ' ; "7* ; ; ~~ . - f • 
um,em_ A+{Aa+}A3 -f | As &c, in b* = pi. 
Qualium 1= A B E J* Quadrato vel Rhombo. 
Ideoque,Plani D C £ # momentum refpcdhi.-D^r'feu femiquadrantalis 
Ungula eidem infiftens cujus acies fit D 0 \ feu planorum aggregatum ipfarri 
conltituentium ; feu Logarithmorum fumma quos ea reprefentant a dpi 
— Ab 2 z=z pi — /b% = -Vi 2 + f^ + jA<~KA'.in b-. 
Qua hum 
