Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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CHRISTIANI HUGENII
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<
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IV.
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. XX.</
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xml:space
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">CIrcumferentiæ ad diametrum rationem inve-
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ſtigare; </
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>
<
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xml:space
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">& </
s
>
<
s
xml:id
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xml:space
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preserve
">ex datis inſcriptis in dato circulo
<
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invenire longitudinem arcuum quibus illæ ſubtendun-
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tur.</
s
>
<
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<
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<
s
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xml:space
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">Eſto circulus centro D, cujus diameter C B, & </
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>
<
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xml:space
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">ſit arcus
<
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<
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xlink:label
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xml:space
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">TAB. XL.
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Fig. 6.</
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B A ſextans circumferentiæ, cui ſubtenſa ducatur A B,
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itemque ſinus A M. </
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<
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xml:space
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">Poſitâ igitur D B ſemidiametro par-
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tium 100000, totidem quoque erit ſubtenſa B A. </
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<
s
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xml:space
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">A M ve-
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rò partium 86603 non unâ minus, hoc eſt, ſi una pars ſi-
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ve unitas auferatur ab 86603 fiet minor debito. </
s
>
<
s
xml:id
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xml:space
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">quippe ſe-
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miſſis lateris trianguli æquilateri circulo inſcripti.</
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<
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xml:space
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">Hinc exceſſus A B ſupra A M fit 13397 vero minor.
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<
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">Cujus triens 4465 {2/3} additus ipſi A B 100000, fiunt partes
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104465 {2/3} minores arcu A B. </
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<
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xml:space
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">Et hic primus eſt minor termi-
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nus, quo poſtea alium vero propiorem inveniemus. </
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<
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xml:space
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autem major quoque terminus ſecundum Theorema præce-
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dens inquirendus eſt.</
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<
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<
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xml:space
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lem invenire oportet. </
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<
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xml:space
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<
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">tri-
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plæ A M qui erit 459807, vero minor, (nam hoc quoque
<
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obſervandum ut minor ſit, idemque in cæteris prout dicetur)
<
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ſecundus quadruplæ A B & </
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<
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maj. </
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<
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xml:space
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">Et tertius triens exceſſus A B ſupra A M, 4466 vero
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major. </
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<
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xml:space
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">Itaque quartus proportionalis erit 4727 vero maj.
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</
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<
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xml:space
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">quo addito ad A B 100000 fit 104727, major numero par-
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tium, quas continet arcus A B, peripheriæ ſextans. </
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<
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<
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xml:space
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">per præced.</
note
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igitur invenimus longitudinem arcus A B ſecundum mino-
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rem majoremque terminum, quorum hic quidem longe pro-
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pior vero eſt, cum vero proximus ſit 104719.</
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<
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xml:space
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">Sed ex utroque iſtorum alius minor terminus habebi-
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tur priore accuratior ſi@ utamur præcepto ſequenti, quod
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à diligentiori centrorum gravitatis inſpectione dependet.</
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