C =5? ) 
~ 4 j five — iiaib — iSaabb— uaii + biso] Jam f a & 0 
<t: b::z : I, erit z4 — 1221 — i8zz — I2ZJ -f i = 0 . Sup- 
ponatur hate aequario ex binis iftis quadraticis formari, zz^yz 
4-i = o. Et z 2 4* pz + i = o. 
El $> Zt ^.p Z, X P 2 ZZ +p Z+ 1 = °‘ 
Comparentur coefficientes terminorum Homologorum, & erit 
>' + p = — 12, & py 4- 2 = — 18, five py = — 20 j unde 
orietur atquatio jgi 4- i2)» = 20, cujus radix negativa erit 
= — 13483. Subftiruatur valor ifte in locum ipfius j>, & erit 
zz — 13.483x4- i = o, cujus squationis radix duplex inve> 
nietur 13.407, & 7^7- prope, ergo five a ad b fit ut 13407 
ad 1, five ut 1 ad 13407, ratio fortium ipforum R & S erit ut 
3 ad r. 
P E O B, XXIII. 
Sit 4 numertts nummorum quos uterque collu forum habeat ; 
Requiritur ratio dexter datum qua faciat ut R poffit aqua 
forte affirm are cert amen finttum iri intro, ludos 6 , S negare . 
S O L U T I 0. 
Expe&atio ipfius S ex numero ludorum, Sc ratione dexteri- 
. t . \\a*bb-\-'lOA'*fc 4- i^aab* .. _ . 
tatum onunda, erit — ~j 5 . Ejufdem expettatio 
propter datam fortium atqualitatem erit =■ Ergo erit 
h five + 6 M - liSU-toafi* 
a-\-b\ 
— 1 3 aah* 4- fab* 4“ b 6 = o, 8c fa£b a : b :;z : 1. 
^4- Czi —13k 4 — 2oz ? — 13XX 4- 6 z 4- I = o. 
Ponatur hacc atquatio ex binis iftis formari. 
Qq z* + yt 
