OpuscutA, 
/B =3 AI; IT ^ ^Q^-^ i OU 
2 
1 ■ " - - 11 III u« m 
AI-hQM-hm-z OT» 
1 
Antequam hxc demonilro , juvatanimadvertere, appulfumglox 
bi ad B compiere triangulum ABI^ appulfum ad C complere trian- 
gulum jBCr, & fingulos appulfus fingula complere triangula , hif- 
que finitis unum adhuc triangulum fuperelTe KHR, five SQLi 
ideoque triangula hxc omnia elfe numero :=i i, Facile etiam 
apparet , eife omnia fimilia inter fe • 
His pofitis demonftro primam partem . Primum , & ultimum_* 
triangulum habent latera homologa AI, HR» Latera his homolo- 
ga in ceteris triangulis omnibus funt portiones laterum OT , MM^ 
quarum portionum binx quacque xquant OT, fi ergo latus AI cum 
omnibusfuis homologis in unam fummam conferantur, erit hxc 
{umm^L AI HR m i OT » 
2 
Practerea inprimisduobustriangulis ^/B, CBT, & in duobus 
ultimis HRK, GKO homologa funt latera IB, BT, RK, KO, quorum 
fumma eit IT AO . Laiera vcru his homologa in cetcris triangu- 
lis omnibus funt portiones iaterum TM^ UN , quarum portionum 
binsequseque aequantON, quare horum fumma erit 3 OlsT» 
2 
quare fi IB fimul cum omnibus fuis homologis in unam fum- 
mam conferatur, erit hacc fumma zz IT -h RO >r — 3 0N"| 
erit ergo z 
IB ^ AI: IT RO -h l^~^ OM 
2 
AI ■-+HR ^ m — I Or. 
2 
Haud difnmili ratione demonftrabitur pars altera » 
Cccc 
THEO^ 
