Schol. . Problemata, ubi dantur Trajeftoriarum vel toti, incliiduntur in pr*cedentibus. Nam datisc epnutnraft ivs e8le Atafnygmepn-- ati bcuesn turnoa ceuxm a lcteenratr oe,j udsa nptaurrt ael iaa qtuoatilditeemr pdiuftnafntate as.l i*qA; ftyamngpetnotteoss, autem pro tangente habcnda eft, Sc ejus terminus infinite diftans ( Ci ita loqui fas fit ) cujufvis punftum con ptaroft upsu anbfitroe cino nintaffintuitsu. m, Concipe tangentis Setur in Afymptoton, atqv conftruftiones Problemat itsa XngVen s verte- Scprimi Problematis XIV vertentur in conftruftiones Problem Caa tufurns ubiP Aofftyqmuapmto Ttir daajenfttuorr.ia defcripta eft, invenire licet axes8e umbilir cos ejus hac methodo. In conftruftione Scfac ut angulorum mobi- Figura Lemmatis XX/, lium PEN, PC idra cruB
concurPf,u TCrPaj eftqourioar udme- vfcirciebmeb pataurra lflienlat ,,f iebuim inq-; fvearnvtaunrt iac ircfait upmol orse fvuool-s B,ter eCa inv efrigou rda eiflciari.b aInn-t raultmer acr uaran gCu lorum illo- N,Bcurfu fuo if vel N^,, c coinr-- culum IB K G C .circuii hujus centr umS it Ab hoc centro ad Peg0u.lam MN, ad quam altera ilia, crura C N, B N interea concurrebant dum 1te normalem rajeftoria defcribebatur, demit- 0 H circulo occurrentem in K Sc L. Et ubi crura
ra illa altera C if, [ I ] Bifegùl* propius eft, Kcr ucroa npcruirmruan Ct Pad, punftum iftud if quod B P majori ; Se contrarium eveniet fi crura ead epmar. alcloelnac uerrruunntt aaxdi bpuunntfuturm ax reesm. otHiuisi cLe . autUemn ddea tfiis ,d eutmurb Tilircai jfeufntot rini* p rcoemntprtuum., da-
Axium vero quadrata funt ad invicem ut if H ad LH, Sefacile eft Trajeftoriam fpecie datam per data quatuor punft ai nddee
fteerritbìuemre . dabNiat man gfiu dlouso mexo bpiluens ftPis Cd iafti, s conftituantur poli C, B, PBfpecie Trajeftoriam, dabitur ratio K. Tum ob datam OH ad OK, centroq; 0 Setervallo 0 H deferibendo circulum, inSegendo
reftam qu* circulum illum tang apte, r dpaubnitfutur mre gquulaa Mrtu Nme ua-- juu sm o fppee cTier adjeafttuomri a( fdi ecfaefruibs eqtuurid. amO nimdpe oeftlìibamile sv eicxicffiipmia nTtruarp ezi- ) data quavis feftione Conica infcribi poteft. in
datSisu nptu Snef taisli a Lemmata quorum ope Trajeftori* fpecie dat*’ Sequod, fi refta l intaenag penerti bpuus,n fdtuemfer iqbui opdoviifsu npto. fìt.'i.oEnjues dgaentuemris deuft- catur, qu* datam Conifeftionem in punftis duobus interfecet, ianlitaemrfe Cftoionniufemft ioinnteemrv aeljluufmde mbif efpccectuieri, cpuumn cpturimor bei,f eafttìqo;n ias xteäst ihgSeae-t bliean.tem prioris axibus parallelos. Sed propero ad magis uti-
Lemma XXVI.
Trianguli fpecie magnitudine dati tres angulos ad recias tot idem
pofìtione datasi qua non frnt omnes parallela fingulos ad fwgulas
pDoanenrteu.r pofìtione tres reft* infinit* AB, AC, BCtet triangulum , Se opor- D E F ita locare, ut angulus ejus D lineam v ' v ' AaBn-y