Tractatus mathematicus de figurarum curvilinearum quadraturis et locis geometricis / Autore Johanne Craig.

  • John Craig
Date:
1693
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Licence: Public Domain Mark

Credit: Tractatus mathematicus de figurarum curvilinearum quadraturis et locis geometricis / Autore Johanne Craig. Source: Wellcome Collection.

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    C 34 ] DHK> quarum ordinata: Analyticd exprefla: fint u =?sza + pa'zn*c x \S~qz,Jf-a: exiftente z unius dimenfionis fub vinculo. Et pro aliis fuppofitis intra vinculum ejus dimenfionibus, alia infinita The¬ oremata computari poflimt: plerumque tamen non fine aliquibus Qiiadrabiiitatis reftri&ionibus: nullas certe ha&enus tranare con¬ tigit, praeter jam memoratas, qua: abfolute Quadrari poflunt, quan¬ do Ordinata duos extra vinculum terminos, in totidem fub vinculo multiplicatos habet. Theorema unum aut alterum , Ex Figuris DHK. habentibus fub vinculo dedu&a adjiciam. § ii. Sit a* aequatio definiens Curvas DKM* ex qua cum Aflumpta z—xmi invenietur per Problema 2. r y=msx V qx^-^a : qua: definit omnes Curvas OFN fimiles Curvis DKM. Sed PHK rszs • r zr-fi Unde Theor. xr. ■ r/x^1 ■ flCFO=—-r— +f»Vx V ?*””+«*• 3r+i / f «: -ivi. ' * 1 •' * Et per Methodum noftram exemplis 1 r, 12, 1explicatam in¬ venietur Quadrabiktatis conditio & b 2snomnirmo:db rrmiiflataHl Y § 12. Sit u=:sz*-\'pa7z,zx</qzt-\-a*.- Ex qua tum aflumpta aqua¬ tione invenietur per Problema 2. y=imsx$m’1-\-wpaiximm~I'x qxL‘n-\-a%. >/ . ' *' 'r y ' 7 ” \ * . . Qua: definit omnes Curvas OFN fimiles. Curvis D&M. Sed rsz5 , pa2z* r DHK=r^-LC_r.xi/qzr\-a%: Et fubftituo pro z> erit, * 5r-l~2 ~ . % . i .ni.irr ;n J. rp- „ XHtOS; ':oi:)ubr 0 rv f, -i 4
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