Opuscula . 
rum membrum deftruit , eliditque alterum . Quod ea de 
cauHa acciditj quia in formula fubftitotionis ^^fc^-^^ = s 
fieret = ^ , Quapropter noilra hxc methodus ad redilica- 
tiooem tradoriae nihii conducit , De ejus autem redificati©.. 
ne , li quid fcire cupis > lege Poienum . 
PROFOSITIO NOMA. 
T Nvenire radiom circuli ofculantis fyntraifioriam , 
Sit KM tradoria genitrix, cujus ordinata maxima KC, 
{Fig, 1%, 13 ) Syntradoria habeat ordinatam masimam BC, 
cujus arcus infinitefimus fit Dd, Per puncta autem D, J 
ducantur MT, mt tractoriam tangentes , lotelligatur de- 
fcripta tracrori^e evoluta KRr, cujus naturam xquatione 
anaiytica definivimus propofitione fecunda . Huic curvas 
punctis M , w ducantur tangentes MR, mr, Ex punctis 
R,r ducantur RD, rd^ qu2e , quoniam fuot perpendicu- 
iares fyntractoris: , producantur, & concurrant io O; pun» 
ctum O erit centrum ofcoli j quod requiritur . Ex iifdem 
punctis R, r ducantur RT, rt^ quas coniiac paralielas eile 
maximis ordsnafis. Dinique centro O intervailo OR de- 
fcribatur muiimus arcus circuii Ks, Quaie erit OR:OD 
: : Ks iD d ^ five in ratione R x R r 
compofita R r : M 
lS\m ^T} d ' 
fed ex fimilitudine triangulorum r/R, RMD 
R j- : R r : : M D ; D R , & ex coroi, primo propolir. 2» 
R r : M ^ : : R T^- R M . M T, & es propofit. 7, 
M »2 : D ^ : ; R M : R D . Ergo 
O R : O D in ratione M D : D R Hve M D . RT' : MT . KD". 
compofita RT\- R M . MT 
RM;RD- 
Q, E, I. 
Corollarium prlmum , Quum quantitas MD.RT* minor 
.eft, quam MT. R D% rum OR minor eric, quam OD, & 
radii circuii ofculatoris non concurrent, nifi poft fectam 
evoiutam tractorix , Qija de re fyotractoria concavum ob- 
vertet ad eam partem , ubi cractoiia, ejufque evoiura pofita 
ell . 
