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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
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resolutionem, cum calibus innumeris, quae à praestantioribus
geomerris impossibilia esse deprehenduntur ex analysi, e à
rudioribus quoridie ex frustra quaruntur. Scripsit Euclides
decimum suum librum solummodo (nisi in paucis quibusdam
propositionibus generalibus) de incommensurabilitate facta ab
extractione radicis quadratae; neque quantum seio ab 2llo
aliotractara est haecmateria, et iamsi geometriae speculariuae
non solum xcilissima sic, sed etiam maxime admirabilis; in
ipso enim limine admiranda occurrunt theoremata; e. S. Sifue-
rit prooressio seometrica curus 2nus terminus fuerit proposi.
tae quantitati commensurabilis lonsitudine 2 el potestate qua-
cunque, 7 alius quiliber, binomium, trinomium, d7 c. quod-
cunque, impossibile est duos rotius procressionis terminos in
infinitum continuatae esse inter se commensurabiles lonsirudi-
ne vel potestate quacunque: alia multa possem afferre, se d pra
commodiore forta (sis tempore haec reseruo, satis existimans
propraesenti haec analytice demonstrasse; et si enim analysis as-
sensum adeo violenter non cogat ac geometria, nunquam ra-
menrespuit nec respuere potest geometria, quo d probauit semel
analysis seometrica. ex hac inventione deduco quoque nouam
sectionem ansularium ex losorichmorum doctrinam, facilem
quidem, in praxi expeditissimam ex geometrica demonstra-
eione munitam; bactenus enim losorithmorum constructio
prolixissima, conrectura potius quam scientia videbatur, e
divisio ansuli inpartes aequales 2 lera quinque numero primo
numeratas in praxim vix admieri poterat. haec omnia sum-
ma (qua possum) brevitate ex perspicuitate demonstro; neque
scrupulosus sum in cicationibus, vepore peregrinus ex libris
aa