( 40" ) . 
Turn, habitaip^us Do d/fgnatione gua ft expofttx curvie ac- 
commedata j (puta, in ParaboU ^ propter AV . AD-.: Va.q . 
DO^=:^'b'h DO=b-J~ :) fiat debitaredume, (puta , propter 
l£f b > b V adeoque [li^^lf', f 'v + 2 f v a + v a ' 
5:i * V 4 f * a 5 dektis utrinque tequalibus ^ hoc efi, Us omnibus 
in quibus a non con[picitur s cateri/que per + a diviffs • a f v + v a 
Tandem (qui m0hodi nucleus eji) pojito D in ( quo fitZr=L o^. 
adeoqm evanefeant ipfius multipla omnia ^ ) a^quatio eochibebit £ 
qucBjitam ( puta 2fv4-va = 2fv = f*5 adeoque 2 v =f.^ 
Hanc (locis citatis ) aesommodatam videas Parabolce 3 EVipfi, 
Circulove, HyperboU^ Paraboloidtbus omnibus, ( quibus ^ harum 
Keciprecas accenjeo^) at que alibi alii s^ 
Ciffoidi (fig.sO accommodes. Eft {per cz^, f . pr.29. de- 
Motu^ ^""^^«"^T^? Q^P^ s profnureUo indrciih gen&tante^ 
cujus radius r, J^nus verfus ^2r-v:=h, ^h-v^iK,) adeeq-y 
(fubliitutisv±2iprov, ^hfzproh,) ^J^^, (^2)a> 
(DT-^-^b=)~x -—^ Ergo (fumptis quadratis^ ^ multiplicands' 
^^«^^^'^,)f Vh4.6f 'v'ha^f * vha^i4f ^^ha + 4p- 
v^ha^>f^v^h4.2fv'h a+v^h a* + 2f*v^;tai4fv* 
»a*-i2 v"^» a^ -f* v'^a* f 2f v^a^-v'^'a* : item (dektis 
utrinque aqualibus^ cceteri(que per \y a divifis) 4 6 f v h a 4. f * 
ha^+4f ^v^h+4f 'vha' >2fv^h + v^ha^ 2 f ^± 
4 f » a + 2 »a * f f * V ^ a - 2 f a * t V ' a\ Denique 
(pofito D in V, quo evanefcat a cum fuis mukiplis^ C£teri(que per ' 
f V ^ divifis) fiet ^quatio 2 f h - f » = v h, adeoque l^^^l^—.^ y 
Idemfuccedet.Jiimptd^ proVA^ diametro TA, (cuitangens ee- 
curratin^) alia VC. ltem,fi exponeretur curva qus ordinatas non . 
babeaty fed quae bis c^quipoSemt j ut funt j in Spiralis crejcentes 
radii. 
Sed ^ calculi magna pars praverii potefl j omiffis ah initio (^nt- 
pote poji reijciendis) ter minis Us ubt habetur a^ vel fuperior hujuspo- 
teftas ^ item Us in quibus nec a confpicitur^7iec funt in a ducendi, (ut" 
pote £qualibus utrinque preditur is,} Exempli gratis 
I ■ In.<: 
