== (172) = 



§. 51' Ciim igitur cafu, qucm hic traiflamus, fit ^^r 2 a, 

 Tab. II. crit nngiilus DOE— a. 150'' idcoquc duobus rcctis niaior , 

 Fig. 8. ob a>> I , fiuc hic anguhis crit gibbus. Ad hunc igitur c.i- 

 fum conllrucfta cft figura s , vbi anmilus gibbus D O E c(l 

 a. i8c°, ad hanc rccftam OE normahtcr ducta rcda OF — 

 2 a" — I — :i « — I , afTymprota nolhac curuac F 1 ipfi O E 

 paralkla , pcr hoc puiKftum F tranhbit, ad quam igitur nollra 

 curua traciu ("atis vniformi continuo propius acccdcr. 



§, 52. Multo autcm facih^us alteram curunm n punLfo 



T dcfcriptam dcfmicmus. Pofitis enim pro ca coordinatis 



O U iziX ct U T = Y, ob D O T = ^ et O T = ;• crit ab- 



F'g- »• fciffa X ~ v cof. 6 ct apphcata Y — e fin. ^. At vcro nnrc 



iam vidimus coordinatas hascc pcr angulum w ira cxprimi : 



X =:aaj-|-a(; — ipf3)oo' ct 



Y = a p Oi' -h a (3 (5 — J ^ p) oi* 



vbi fatis crit pofuifTc Xzraw ct Y — ajlww, vndc crit 

 JL — A , ficquc noflra curua congruct cum Parabohi rciftam 

 O H in fuo vcrtice rangcntcm, ciiiusqiie axis ad O I) cll nor- 

 mahs. Noftro igirur cafu, quo (3- 2 a, cius paramercr crit "i. 



^. 53. Pro porrionc huius curuac in infinirum por- 

 rc<fVa ducnrur rc<ftn O E, fub anguh) 1) O E — yu'. (?, nd quam 

 Tig- 3. cx pun<f:o T dcniirtatur pcrpcndicuhim T S, quod crit 



T S = ffin. (po^fS — O = ^ tang. 0) fin. (3(90" — w); 

 qunm ob rcm pofito w — 90" — «, ob tang. w := ^^ crit TS 

 — a ('^. Hiiic fi rc<fac OE parnUchi agatiir FI, dilhm^ nb 



r illn intcruallo O F — a (3 , crit hacc rct^^ia adymptota nodrac 



Fig. 3. "^ ' ^ ^ 



curuac. 



§. 54- 



