Publisher's Synopsis
Excerpt from Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, Vol. 12: Pro Anno 1766 Et 1767
Tur r: .� fa�ta ad circulum adphcatonc in uno r aequarur quantitati con?anti a, fit vude confequirur, angul.um (d vcunque periphe riac adplicetur ita, Vt tuis crunbus cam rang-ar, femper aequales elle arcus intercepturum. Quae adfe�'tio cum (ub ea certe conditone, qua angulus (i) eli indefinitus et pro lubitu affumi putel'i fit cir culo propria: ad theoriam curuarnm penums per fpic�endam perquam vtilis fuppedita\tvr quaeli10, vtrum aliac inl'uper dentur curuae quae non qui dem pro arbitrario quouis, (ed pro certo quodam et determinato ipfius (1) valore, quem ponamus a, eadem gaudeant pr0prictate, vt, qui (unt eius amplitudinis a, arcus omnes inter fe (int ae quales. De quo quidem cum dubitari non po?it cum fi fiat ellipfis et omnes curuae in fe redeuntes centro praeditae huc fint referendae praecipuum quaefiionis momentum in eo verfatur' vt omnes huius naturae curuas inucniendi methodus indagetur; atque huius problematis, maxime fane ardui, completam folutionem haec ipfa fillit lll. Euler� differtatio. Primo fcilicet formulae exhiben tur generales ex ipfa amplitudinis natura dedu�tae omnes curuas complexae in quibus finguli eiusdem.
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