J^JRII GENERIS. \^ 



lioimuh fi intcgretiir fic , vt fado .r ~ c , fuit V — o , 



oritiir V =:^^-2'- -h'-^PBOM; vndc patct, gc- 

 neralcm totiiis vngiir.ie Cubaturam dcpendere a Qiia- 

 dratura fpatii Circularis PBOM. Si vcro fecftio intel- 

 ligatiir fieri per ipfum centrum bafeos C , tum fict ^~r, 

 l) — t\ quo fa(fto membrum fuperius non - intcgrabile 

 cuanefcit, fitque V z:z^-~~~. Pro tota Vngula dimi- 

 dia obtinenda ponatur jirro , veKrrr^, eritque V^ — 

 'ij, hoc elt: fcmi-vngula per ordinatam Cylindri Cir- 

 cularis , cuius fcdlio transit pcr ccntrum Circuh C , ae- 

 quahs ert Pyramidi quadrangulari , aiius bafis ell Qiia- 

 dratiim radii CA, et altitudo AD. 



§.8. Pro cruenda fohditate femi-Vngulac per aXcm 

 'eiusdem Cyhndri, alfunii debet AP pro abfcilfa ; qua- 

 re retentis reliquis prioribus , et vocata abfciift APir .v, 



•erit nmic j- =: 2rx— .1"- , et —^—j-dx—trxdx— 

 x-dx^ cuius Intcgrale fumtum ita-, vt pofito x—o 

 euanefcat « , cd: « — -^ — gy , vnde patet , hanc Vn- 

 gulam pcr axem abfohite integrabilcm eife. Si pona- 

 tur x — a, erit femi-vngula integra r~~|' — -|^; fi ve- 

 ro fit f7~r, erit etiam b~r ^ quare lohditas Vngu- 

 lae per axem hoc cafu crit 'ij^ , cadcm quae prioris 

 Vngulac per ordinatam in eodem calii. 



§.9. In codem Cylindro Circulari , pofitrs omni- 



b?isvd;n§.7.eruiturV(fl^.v=-4-^/-)=:vr?^a'-_i^---57^i^- 



— I£!5 V rl -fi — — x^[dx "- ^diy'^) xdx — c — r .dx 



' IM 1 VilUC 111, ^„ *— -, *r/ 0^1' r.2 1 n /T VI rt 1 



C 2 



