'--¥.% ) 14 ( 



fin. A P = 2L±^-^i. — ^ , ideoquc 



V«' Vi Vj * 



vbi notetur effe V 5 — i rr 4 fin. 1 8 gr. 

 tum vero erit 



(in. O A =r •^-1^^^ zr: ^ ideoque 



V ' — r V 10 — 2 V s 

 ''^ V is ' 



vbi notetur efle i/ (10 — zV s) ~ 4. fin. 3(J gr. Ex hi« 

 autem colligitur 



yijj ~ ^. XX) =z "-^^si2j 



(vbi notafle iuuabit efle V (10 + 2 V 5) =4 cof. 18 gr.) et 



y{rr - jj) — 



rV s -+- I V s 



y '5 

 tum autem erit 



3 V 5 



-i;i: 



f ii3- Hinc igitur pro dodecaedro, Sphaerae, cu- 

 lus radius ~ r, infcripto fequentes inueHinuis determi- 

 nationes : 



I. Latus hedrae = ^-^ = 0,713644 r 



II. Radius circuU — rvjo-w.s ^ — 0,60-7062 r 



III. Area hedrae rrrr^Vio-Tyl" — 0,8-7621$ rr 



IV. Superficies rr 2 rr y^.y lo-^T^zz: 10,51 461 <5rr 

 V.Sohditas =Li:lIl±_V5)_ ==2,7851^4^' 



pro vltimo valore notetur eflTe 5-1-^5=14^5 fin.54.gr. 



§. 24. Sic igitur nadli fumus quinque illa corpo- 

 ra regularia, quorum inuertigatio vulgo laborem non pa- 



rum 



