,C 5145 ) 
habeAtur^qmtio In temkls A -/^ D^^srv, B A^ yl^ B F Fij 
vel DE^({, Erk kaque EA = 7^. Mt c^m quadmum B E ^qmk 
Jit dmkns DA, A E\ erit t^qumk q q =r. ~ + v v five q q y y 
srv^ f y y VVvf»^ fro Tangente, ex RegnUfrdfcrlftOy fig refer 
mmda .sm^ qqyy-«vvyy=v^fyyvv 
a.qq a — 2 vvy a = 4 v,^ 1 2 yy V V 
- - ^ ' 4 V 4 f a y y V r 
, . z q q y <. -Z V V y 
^Homodo am em t^-- 
^^umiones hfijufmodi adfaciii" 
^res terminos fro confirun:ione 
Te4^ci debefinp , id fane foler^ 
tern Geometram mimmi Ute« 
ik, Vt ecce in h&c Exemfto^ 
^jmniam Re^angulum B A E' ffifpomtMr ^qpiall ^adrato A I>, EA 
dicamr^y m> v vs y e, ' v'^s^ y y e e, q q— y e + ^ e./L^/^^' 
fro illisy fofito in <zqmtione eorum vak^e^, 3. — "^'^^ ^ ^ * 
i e ey f ze y ^ - 
y/'z/^f a efi; =j2, e y t y y <^ ^i^^/^V<? e e mrinque 
a e e e = e e f 2 c y t y y . [Eram imqne tres e | e i" y j e + a , five 
EA, EB, EC, ineemnm analogia, ^^facillima evndet conftruEiio. 
Cater urn, qmniam haElenus fuppofmjfe videmiir, Tangenterd verjHt 
fartes B dncendar/ie^e ^ ckm tamen ex iatis a^cldere foflt ^ut velparai- 
ielafitipfAB, vel etiam ducenda ad partes contraHas definiendum 
nuncfuperefl, qttomo do h <&c Cafnum diver ftM in ^^qudHontbus difin^^ 
gmtUKy FaUajgkur BraEiione pro ^,^t-in Exempli^ fupra adduUis^con- 
fideranda fmt partes tarn Numeratoris'qmm \DenomirMoris, ei^rum 
figna, - 
1 . Nam f in mroquei^ partes vel haheant mnes fgnum +, vel fdltefh 
Affirmat^ pr<evaleant Negatls, dticenda erit Tangens verfm B. 
2. Si Afirmata pra'^aleant Negatis in NumerMore^ fed <&quales fint 
in Benominatore ^retiaper B duEta, paralkia A B j:angitfCurvam in B: 
hoc enim in cafu^ aefi infnitiZ longitudinis, ■ 
3. Si tamin Benominatsre^ quam. NumerMare^ .partes Affrmat^ 
minor es fnt negatis mMtatis ommhus fgnisyducenda erit rurfns Tangens 
verfus B : hie enim cafus cum pr two in idem recidit, 
4. Si inBenominaterepr^vdeanty in Nnmeratoremlnores fint , vel 
centra • mutatis fignis illius in que funt minor es, ducenda erit Tangens 
verfm partes contrarias, h,e. A C fumendaerit ver[m E., 
$. Ae tandem fiin Numeratore partes Afirmata fint <&quales Negatis 1 
qmmodocHnq'yfe hakeant in Benominatore^di abibit in^mhilumJtaq\vel ipfa 
AB, erit Tangens, vel ipfa E.A^am el paralkia qmd ex datis facile aig- 
mfcitur^Horpim autem-Cafmrn varktas expHcari poteff per -^qi^ationes 
ad ciroilum, ^ - y .^^ 
