Jit dmbus D A E "^ ^ acjuatlo q q ~ 77 tV v • /i/^ q q y y 
srv^^ty y vv^ /ri? Tangente, ex JRegulafr^rtpHj Jc refor^ 
mmda erk^ q q yy — v v y y = v'^ i y y v v 
2 q q a s V V y a 4 V ^ 1 2 y^y t V 
^jiomodo autem t/£^ 
qUAtiones hujHfmodi adfkcili^ 
ores termlnos fro confirtidione 
r^duci debemt y id fane foler* 
tern Gemetram mimme late* 
hit. ZJt eece in hoc Bxemfld^ 
qmniam Rt^ unguium B d E fupponitHr ^mle ^ii^-mo A d,^ ft \eA 
dicMurt, eriPVVi=yQ^ ^v^=;yyee, & c^q^y ti- 1 tjkqs^e 
pro i/lisy pop-to in <zqmtione eorum vdore^ fit ' a ^ ^ ^ ^ '^'^ ^ ° ""^^ ^ 
fvff a =- ^^g hoc efli a]© =2 e y + y y & addito e e mrlnque 
a e e e = e e + 2 e y f y y. 'Ermt itdqne tres t \ e "i" y | e + a, fivs 
EA^ EB, EC^ in continda anklogia^ facil/ima evadet cenftrutiio. 
' Cater um, quoTiiam hdiBenus fuppofm^e videmur, Tmgentem verjm 
partes B dptcendam ejje, cum tamen ex datis accldere pojfit ^ut vel par^l^ 
lela Jit ipfi AB, vel etiam ducenda ad partes contrdrias ^ definiendum 
nunc fuperefl^ quQmodo hdtc Cafmm diver ftas^ in ^^qpiationihus difiin-^^ 
gmtur, F^Uh igitur FrdBione pro 2iyUt_in Exempl'hfupra MduQis^con^ 
Jiderandic fmt pjortes tarn Numsratoris qukm Denomimtoris^ C^. einrum- 
- l i Nam fi in Htroqtiey partes v^lhabeant omnes fgnum^^ vel f ahem 
A format <& pr<zvaleant Negatls , ducenda erit Tmgens versus B. 
2, Si Afirmata pravaleant Negatis in Numeratore^ fed ^quales jtnt . 
in Denominatore^reBaper D duUa^ paralkU A B fangit Curvam in D: 
he enim.in caff^, efi infinite longitudinis, ■ 
3. SLtam in Denomlnatere, quam Numerators ^ partes AffirmatA 
fninores fint negatis ^nutatis omnibfis fignis ^dncenda erit rurfns Tangens. 
V-erJusBi hie enim cafus cmprimoinidemrecidit, 
4- Si in Denominator e pTitvaleant-i in Npimeratore minores Jint ^ vet 
contra • mutatis fignis illius in qm funt minor es^ dpwenda erit Tangens 
verffis partes contrarias^ h. e, AC ftimehdaerh ver[us E. 
$,Ae t andem fi in Numeratore partes Ajfirmata Jir^t aeqmies Negatis^ 
qmmodocmq'yfe hakeant in Denominator e^2i. abibit in mhiluindtaq-^iJel ipfk 
AD erit Tangens ^vel ipfa E A^am ei parallela J qmd ex datis facile dig- 
nofcitHr^Horum Mkm^^afmm variitas expiicari potejtper z^qmtlones 
