«>^.^ ) 4S ( 2'??- 



rrng*5 nb^rnffls, qnas fum pollicims dcmonnraritits, ciiippe 

 quas per (ol tas Cdlculi operjtioiies vix ac ne vix qnuitin 

 crui-rc licet , ct qwae proptereri profundions indag-nis me- 

 rito funt ccnfcridcie. Ac pnnio quidcm hic cani iiifioncin 

 rcbtioncm , quae intcr ternas principalcs dimcnfion s lui- 

 ius cnruae, (cilicct altitudinem BC— AD, ct mtcr lati- 

 tndincm A B rr C D atquc ipl.un c iru-ae lonpitudincm 

 AMC interccdit, ct (inam iam piidcm detcxi. hic accii- 

 ratius exponam, ct fa]ucnti Thcoicmaic coijiplcc^tar. 



Theorcma i. 



§. 2T. Tn curua claflxa redangula A \t C, cuius 

 vertex e(^ A ct ccntrum altcrn-nicnis C, tein;i? din^n- 

 fion:S principaks, quae funt: i) .ikiiudo BC— A 1); 2) I.(_ 

 litudc) A B — C 1) ; ac 5) longitudo .ncus A M C, ira a fe 

 inuiccm pendent, vt redani;;ulum ex I,i iudine A B in lon- 

 g'tudincm arcus A M C acqu ile fit arcae cir uli cir^a di;i- 

 n etrum nltitud nis B C dckripti , fiue pofiiis vr fecimus 

 BCzrAD I, AB-CD — fl cc arcu A xM C — t 

 erit AC — ^ 



Dcmonfti-atio. 



§. 2.2. Tnfieni»- iOa nnpncrtis dedi'citur cx fiTmii- 

 lis qnas hipra per prodii<n:<i in intinifum excurreutia cx- 

 prtflimus ( ^. 13-) qnarum piima dabat 



li: - ?ii . !il , Ifi2J . 'Jt^ ctc \ Itima vcro 



z a — *-' . — .'-^ . -— etc. 



3,<5 7, |0 II. l^ 15.18 



Quod (; iam in priore exprcfi:< nc primus fcnf^or fimplex 

 s fcoifim cxhibcaiur , cx rclicjuis aiituni Itqucuiibui. bini 



intcr 



