II S THEOREMATA 



Scholium 2. 



21. Qiiia iiequatio in theoremate odauo exhibi- 

 ta , ncmpe 



£,_/!_ Zf_ I . l" 15_ 



^ n ' 4na 4.. y. n^ "^4 9- 1 6 K* 4. c; i 6.: ? .n* ^^^^C 0. 



habet inlinitas radices reales, ideoque catena infinitis 

 moais inflsdi potcd , vt ofcillationes fiant vniformes : 

 fempcr autem littcra n minorcm atque minorcm va- 

 .lorem adlimit, ita vt t.indem pcne cuaneP:at, eftquc 

 U-ngitado pcnduli fiinplicis ilbchroni conftanter ~«, 

 fcu {iibtangci3ti C P : vnde ctiaro oicillationes tandcm 

 ficiit vcluti iRfinite celcres. Gifus qui fingi poflfunt 

 OJ.imes huc redeunt , primo , vt catena hneam vertica- 

 lcm in -aUo pun&o noD interfecet practer pundum fu- 

 fpcnfiTnis , qni repracfcntatnr figura fcxta et pro quo 

 conuenit longitudo penduU fimphcis ifochroni ;/zzo, 

 (J91 /, vt vidijiius in antcccdentibus : vel vt catena h- 

 neam vcrticalcm in vno infuper puncfto immobiU fe- 

 cet, qu.ilcm figura feptima indicat, vbi praedidum. in- 

 tcrfedionis punftum ert B: in hoc cafu eft longitudo 

 penduU ifochroni «zro, 13/, et ofcillationes numcro 

 viginti tres fient, dum in cafu fignrae fextae deccm ab- 

 fokmntur: Unea CB crit proxime rzo, jp/: CN puu- 

 fto maximae excnrfionis M conucniens "0,47/: 

 iplaque MN practcrpropter ~|FC. Pofi hunc ca- 

 fum fequitur ille, qui figura odiiua filUuir: vbi hnea 

 verticalis ia duobus punftis fiixis B et G a catena of- 

 cillante interfecatiir : deinde cum tres fiunt intcrfedio- 

 nes et fic porro. Arcus inter duo interfe(R:ionis pua- 

 <lta proxima inccpti eo maiorcs funt, quo aitius po- 



iiti; 



