Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

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          <pb file="0528" n="551" rhead="INDEX RERUM."/>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          # Baſin habentem eandemque altitudi-
            <lb/>
          # nem, hanc habet rationem; quam
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          # ſubſeſqu@altera diametri portionis re-
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          # liquæ, ad eam quæ ex figuræ centro
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          # ducitur ad centrum gravitatis in por-
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          # tione. # 324.
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          In Semicirculo & quolibet circuli ſectore,
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          # habet arcus ad duas tertias rectæ ſibi
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          # ſubtenſæ hanc rationem, quam ſemi-
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          # diameter ad eam, quæ ex centro du-
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          # citur ad ſectoris centrum gravitatis.
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          # 326.
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          Ε’ΞΕ´ΤΑΣΙSig;
            <emph style="sc">Cyclometriæ</emph>
          Clarif-
            <lb/>
          # ſimi Viri Gregorii à S. Vincentio,
            <lb/>
          # S. J. editæ Anno 1647. # 328. ibid.
            <lb/>
          Chriſtianii Hugenii ad C. V. Franc.
            <lb/>
          # Xaverium Ainſcom. S. J.
            <emph style="sc">Episto-</emph>
            <lb/>
          #
            <emph style="sc">L@</emph>
          , qua diluuntur ea quibus
            <emph style="sc">E</emph>
          ξέ-
            <lb/>
          # {τα}{σι}ς Cyclometriæ Gregorii à Sto.
            <lb/>
          # Vincentio impugnata fuit. # 341. Ha-
            <lb/>
          # gæ. Com. 1656. in quarto.
            <lb/>
          Epiſtola Carteſii. # 347.
            <lb/>
            <emph style="sc">Christiani</emph>
            <emph style="sc">Hugenii de</emph>
            <emph style="sc">Circuli</emph>
            <lb/>
          #
            <emph style="sc">Magnitudine</emph>
            <emph style="sc">Inventa</emph>
          . Acce-
            <lb/>
          # dunt ejuſdem Problematum quorun-
            <lb/>
          # dam illuſtrium Conſtructiones. # 351.
            <lb/>
          # Lugd. Bat. 1654 in quarto.
            <lb/>
          Omnis circulus major eſt polygono æqua-
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          # lium laterum ſibi inſcripto & triente
            <lb/>
          # exceſſus quo id polygonum ſuperat a-
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          # liud inſcriptum ſubduplo laterum nu-
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          # mero. # 361.
            <lb/>
          Omnis circulus minor eſt duabus tertiis
            <lb/>
          # polygoni æqualium laterum ſibi cir-
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          # cumſcripti & triente polygoni ſimilis
            <lb/>
          # inſcripti. # 361.
            <lb/>
          Omnis circuli circumferentia major eſt
            <lb/>
          # perimetro polygoni æqualium laterum
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          # ſibi inſcripti, & triente exceſſus quo
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          # perimeter eadem ſuper at perimetrum
            <lb/>
          # alterius polygoni inſcripti ſubduplo la-
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          # terum numero. # 362.
            <lb/>
          Circulo dato, ſi ad diametri terminum
            <lb/>
          # contingens ducatur, ducatur autem &
            <lb/>
          # ab oppoſito diametri termino quæ cir-
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          # cumferentiam ſecet occurratque tan-
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          # genti ductæ: erunt interceptæ tangen-
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          # tis duæ tertiæ cum triente ejus quæ ab
            <lb/>
          # interſectionis puncto diametro ad an-
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          # gulos rectos incidet, ſimul arcu abſciſ-
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          # ſo adjacente majores. # 364.
            <lb/>
          Omnis circuli circumferentia minor eſt
            <lb/>
          # duabus tertiis perimetri polygoni æ-
            <lb/>
          # qualium laterum ſibi inſcripti & trien-
            <lb/>
          # te perimetri polygoni ſimilis circum-
            <lb/>
          # ſcripti. # 365.
            <lb/>
          Peripheriæ ad diametrum rationem in-
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          # venire quamlibet veræ propinquam.
            <lb/>
          # 366.
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          Rectam ſumere peripheriæ dati circuli æ-
            <lb/>
          # qualem. # 368.
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          Dato arcui cuicunque rectam æqualem
            <lb/>
          # ſumere. # 370.
            <lb/>
          Omnis circuli circumferentia minor eſt
            <lb/>
          # minore duarum mediarum proportio-
            <lb/>
          # nalium inter perimetros polygonorum
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          # ſimilium, quorum alterum ordinate
            <lb/>
          # circulo inſcriptum ſit, alterum cir-
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          # cumſcriptum. Et circulus minor eſt
            <lb/>
          # polygono iſtis ſimili cujus ambitus ma-
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          # jori mediarum æquetur. # 373.
            <lb/>
          Si inter productam circuli diametrum &
            <lb/>
          # circumferentiam recta aptetur radio æ-
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          # qualis, & producta circulum ſecet,
            <lb/>
          # occurratque tangenti circulum ad alte-
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          # rum diametri terminum: Intercipiet
            <lb/>
          # ea partem tangentis arcu adjacente
            <lb/>
          # abſciſſo majorem. # 376.
            <lb/>
          Si diametro circuli ſemidiameter in dire-
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          # ctum adjiciatur, & ab adjectæ termino
            <lb/>
          # recta ducatur quæ circulum ſecet, oc-
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          # curratque tangenti circulum ad termi-
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          </note>
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