Opusgula . 
2 
2 
Antequam hacc demonftro, iuvat animadvertere , appulfum glo« 
bi ad B cornplere triarigulum ABI ^ appulfum ad C complere trian- 
gulum BCT 5 & fingulos appuifus finguta complere triangula , hif- 
que finitis unum adhuc triangulum fupereife KHR^ five SQL^ 
ideoque tnangula hxc omnia ede numero =z m-h i > Facile etiam 
apparet, efle omiiia. rimilia inter f e . 
His poiiris demoiiftro prjmam partem . Primum , & ultimum 
trianguium h bent larera homologa HR. Larera his homolo- 
ga in ceteris triangulis omnibus funt portiones laterum Or, MN^ 
quarum portionum binx quaeque scquantOT, fi ergo latus cum 
omnjbus luis homologis in unam fummam conferantur, erit hsec 
fumma Al-h HR-{~ m— i OT . 
2 
Pr^terea in primis duobus triangulis ^fS , CBT , & in duobus 
uUimis HitK", GKO homologa funt latera /JS, BT^ KK^ KO^ quorum 
fumma eit IT -4- RO . Latera verohis homologa in ceteris triangu- 
iis omnibus funt portiones laterum TM, ON, quarum portionum 
binac quaequeaequant OA?; quare horum fumma erit »2 — 3 OiSfj 
2 
quare fi IB fimui cum omnibus fuis homologis in unam fum» 
xnam conferatur , erit hstc fumma — ir -f- RO m — 3 OAfj 
erit ergo l 
IBzzlAI: IT-^-RO -h m — z OH 
2 
AI-^-HR-h m~ l Or. 
2 
Haud difllmili r^tione demonftrabitur pars aitera ; 
THEO- 
C ccc 
