^6C D E V I B R A T 1 O NM B V S 



gredi oftcnJi \t luimeri n:uurnlcs impares cxclufii 

 nuineris p.uibus; in oliis lyllematibus alia kge, quae 

 facpiliinic tr.iurcendeutalis cli , (i)ni pro^^rcdiuntur \ 

 tanta curn fit hac de rc varictas , non abs re crit 

 etiam vibrationcs , de quibus hic lcrmo clt, cxaiiiiui 

 noftro fubiiccre. 



§. 9. Hunc in fincm notemus acquationcm no- 

 ftjram / ::^ — J^ t-ani;. Arc. ^-^ infinitas habcrc radicc&, 

 qiU;ie fqcefliuc longitudinem, L diminuuiir. In prima 

 radice, vbi L maximi cft , Arcus ^ q (emper maior 

 eft qnadra .te circuli et minoc (emicirculo ; pro fe- 

 cunda radicc Arcui idcm continetur intcr limircs 

 39 ec 47; pro tertia radice inter iimitcs 5^ et 6 q^ 

 ct fic porro; erit nempc liiccclliae Arcus ^^11(7+^^ 

 3 7 -H S ,• 5 7 -1- Y ctc. 



In his va'oribus arculi fupcraddendi a, S, y 

 otc continuc decrefcunc , ita vt tandem ncyligi 

 podint , praclertim fi longius filum chordae (uent 

 a.nncxum , aut fi illos neglgcre nolimus , poliint 

 falccm fiuc vllo ncgocio proxime determinari Iccun^ 

 dum legcm aequationis : co^nito autom, verbi gratia 

 pro ttrtio ordiue arculo y , arit £^ ^ ~ S ? -H y-, 

 T.ulc L— ^ — ^^' '^''^*- ^^'■l"'^^"' f^"'*^ P'"'-' rJ"i'"o 

 ordinc L — - '' X: pro ("ccundo ordnc L :-' — ' „X: 

 pro icrtiu ordme Ln^r^-^^X atque (ic porro : vui, 

 quad iam monui , aiculj a , (3 , y etc. ex aequ.»r 

 tionc noflra pura^raphi (cptimi lunt dctcrminandi. 

 rro, hoc prwccdcndi moao idt.n , ijuud aiiuaifimus 



iwra- 



