Revocetur rursum ad analogiam duplicata ista iequalitas: erit itaque
Zs. in D - Ac. in D ad Nq. in Eq. - B in A in Eq. - Zs. in E - Ac. in E
ul Nq.-BinA ad Eq.- +DinE.
Quum itaque factum sub extremis equabitur facto sub mediis, tanquam ipsi æquale, omnia homogenea poterunt dividi per E, ut supra demonstratum est: erit nempe
Zs. in Eq. 4- Zs. in D q. in E - Ac. in D in Eq. - Ac. in Dq. in E
æquale Nqq. inEq.- Nq. in B in A inEq. - Nq. inZs. in E
- Nq. inAc. inE - B inin Nq. inEq.
- Bq. inAq. inEq. 4- B inZs. in A in E - B inAqq. inE,et, omnibus abs E divisis, fiet tandem
Zs. in DinE + 7Zs. inDq. - Ac. inD inE -- Ac. inDq.
æquale Nqq. inE - Nq. inB in A i E - Nq. in Zs. - Nq. in Ac.
-B in AinNq. inE-+-Bq. inAq. inE -+B in Zs.iin A AB inAqq.
Quo peracto, nova hæc æquatio unius adhuc gradus depressionem (quoad secundam radicem) lucrata est, ut hic patet: quum enim homogenea sub E adfecta in unam equationis partem transierint, fiet
Zs. inDq. - Ac. in Dq.4- Nq. inZs. - Nq. inAc. - B inZs. in A +-B in Aqq.
sequale Nqq. inE -Nq. inB in A inE - B in A in Nq. in E
- B q. in Aq. inE -Zs. inD inE 4- Ac. in D in E.
Neque ulterius progrediendum, quum jam secunda radix sub latere tantum appareat, ideoque, solo applicationis beneficio, ipsius E relatio ad primam radicem manifestabitur: ut hic
æquabitur E,
quo tendendum erat.
Ut igitur duæ primum propositse radices in unam transeant, resu