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# Title: LBr. 695 · Oldenburg
# Folio 34r, page id DE-611-HS-860722:0067
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33v); this page is its right half.
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# Lines: 49 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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coevendum, unam libi radicem suppeditat. Atque ex eadem tabula finun)
radices negativa sumi possunt, eo quod taditudines arcuu ad se invicend
taliis
cognita: simile sieri potest pro aequationibus ad sinus spectantes. Tale quid
cognitu esse asserit viro cuidum docto nostrati, quoad taugentes et secautes
Hnic omnes aequationos, derivatova à primis cabularu illau ope solvunt
qui et dochrina tradita valde hoc nouuve extendiq. Suppone duas zundra
ticas generatrices duitas ni seinviceur; unam earum serva tibi constanteui, alte
rius vero radices gradatim augeaut additione, multiplicue et; rursumus aequa
tio constans atque ha aequationes posteriores invicem multiplicent; affirmatur
ejusmodi Progressionu naturau probe esse cognita; nec non, simile sieri poss
e de data quavis aequatione Bquadratica, cujus icognitae suit radices; duus
 nempe ex tadicibus illius posse augeri, multiplicuri eq, reliquis remanentibus
sixis et constantibus; posseqe illius adminiculo pluriuas aequationes reduu
ad Tabulas, qua secus percas resoloi non poterant. Et sorte si locus
 aequationis ita aptetur, ut omnes radices ejus suit in cireumserentia circul
cujus Radius est Resolvended (qui intelligi potest multas habere revolutia
nes,) conserre id posset ad notionem illau exolendam, aequationes se il per
Tabulas sinum et. solocudi.
Seato voi quid au eruditus un Auglia scribit, tollere se posse omnes po
testates Intermediatas in quavis aequatione arbitraria; t
sixe qua impossibite est
paroxmuttiat non suie aequationes exallatione; qun esfutre nnfueres
tollate duos terminos ji aguatione arbitraria; ac interdum unus aliquis terminone
corsistetu non vanen duabg potsatile pntituis noogniti, dyales Hao
 non pote semper tolli, cg. terminus secundus in biguadiaticis, quando quadratis
 on r oer porsit pon, egraeot
aequatio, quae conficere id debebat, est impossibilis
   a  obis
 tne onob e sannbdt on oae
Gadaphain ogotmen, hodwint, h dn amn
nos.
Duus Necutonus (ut hoc ex ocxasione literaru tuaru addam) benesicit
Logaritlmoru graduatoru in scalis nopasdeilios locandis ad destantins aqua,
Iles, vel Circuloud Concentricond eo modo graduntond adminiculo, invenit
aequationum radices. tres Regula rem conficiunt pro cubicis; quatuor, prossi
quadraticis: Ju hrarum disponitione, respectiva Coeffirientes omves jacent in eades
linva recta, à cujus pruto, tam remoto à regula prima, ac graduatu sca
lae sunt ab inviceur, linea reita super extendit, una cuu praescriphis consor
consentaneis genio aequationes, qua in regular una potestas pura datur
radicis quaesitae.
Lubentes equidem cognoscerenus numTu, vir
doctisse et Recotony noster un artisiciu idem mederisis
Sed tempus monetrut ad sinon properem. Hoc soeummodo adjicere sas
fuerit, existimare nos opera juccium, ut tractatus conieus, derivandus a
Projectionibus Sphaerae, concinnetur ex libro dui des Argues, cu tituly, lecons
des Tonobres, nec non ext reloquips s’ascalianes: spejqus nos sovet, Purisis id con
fectu iri. Ontannieu insuper, ut daralipomena fermati de lous planis, solidis
Linevnbus et ad superticieuu, d Pourmatilius et Contactibus spharacud, necus ipa