[ I4S ] 
XXII. Iasoo "Theorems^ hy Edward Waring, 
M. A. Lucafian Profejfor of Mathema- 
tics in the Univerfity of Cambridge, and 
jF. R. S, ^ Letter to Charles Morton, 
M. £). Sec. R. S. 
T H E O R E M A I. 
_ FiG4J r a I. 
Read April 25, V N data Ellipfi- inrcribantur duo (^) 
^ Laterum Polygona abcde^ &c. et 
^qr st^ &c. ad Pundta refpedtiva e, &c. 
p.i ^7 ti &c. dueantur Tangentes A B, B C, 
CD, D E, &c. et P Q, QJl, R S, ST, &c. 
et fint 
^ ab'^ — 4 S. c bGy <^b cQ—^dcY>y ^ cdT> 
z=i^edEy &c. et ^ y Q — r ^ R, 
^ r s 'S ^ t sTy^ et Tic deineeps. 
Et erit Summa Laterum 
I 0 b *~|~*^ c 'A^c d ■ ^ d C--^^ 6cc. ■ 6cc». 
Fl GU R A £. 
Cor. Ducatur in Ellipd Polygonum ahcde See. 
(n) Laterum Methodo fupra tradita ; inferibatur etiam 
aliud Polygonum ah klm &c. [n) Laterum quovis 
alto 
3 
