R0JAW3I DE\mB!'S TRIBfEXDA. 311 



12. Vel pon.itur l.iticuio jx c? — [x ,*; ^- -r ^' , erit 

 primo x-b — lb(p(^ et j-e tum vec^ 



t- cr^ («4-1) e(^ -\-\n{n-\~rL)c^.^ 



u--e -hif«-i-i)vCp$>-f-i;;('iH-i)(;i-j-2U-C|)' 



vnde patet fi C|) — o fore .vr,^, > — ^et /-?, u--e. 



Vbi ciim valor ipfiLis u prodeat ue^^atiuiis, cognorciir.us ap- 



plicitam a fuper axe BF cdpi dejjere, qii.ie proinde erit 



tt— ^-i,n-t-i)V(I)Cp>-i«(H-f-i)(«4-2)t(p* 



13. Vt autem long-tudo dentium in vtnique ro- 

 ta determinetur, maximus angulus Cj) fpcct.iri debet, ad 

 qiiem fi radius AC ad recftsm AB inclinctur, denccs 

 EM ct F IM fe adhuc contingant Kotaudum vero eft, rotas 

 ita inlkuclas efle deberc, vt antcquam bini dcntes fe mutuo 

 deferant, fequentes (e mutuo arripiant, cui requifito commo- 

 diiTime fatisnt , fi dum b:n: dentes in medio exifttentc 

 (p-o in fe inuiccm aguut, bini proximi fefc arrinere inci- 

 piant. Qiiodfi ergo in rota A diftantia dcntium an- 

 gulo — a defignetur, ita vt in rota B dentes angulo 

 rr«a diHent, pofito^ — a, dentiiim magnitudo vtrin- 

 qne determin<ibitur. Inicrim i.imen iuuabit , incifinnes 

 aliquantum profjudiores ficri , ne motus cx hac parte 

 obftaculum offendat. 



14. Capiatur ergo in rcda AB — <? cei-tra' ro- Tab. IIL 

 tarum iungenie KQ—b- ~ et BC~c— ^. ; et % ^ 

 ex vtroque ceniro delcrib.mtur circuH CR et CS. 



Tum pro rota A ducatur ji/p ipfi AC pirallela ad 

 diftantiam Cm — Gp — e, txli mp facies vnius dentis. 

 Ad alteram vero rotam dcfcribatur curua af ex valori- 

 bui datis /et u, quie verfus mp erit conuexa. Forro 

 pro deatium diftuntia in vtraque peripheria CR et CS 



acqua- 



