Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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Table of Notes
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CHRISTIANI HUGENII
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<
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. IV.
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. IV.</
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<
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xml:space
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eſt duabus tertiis trianguli eandem cum ipſa
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baſin babentis, & </
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<
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<
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<
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xml:space
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<
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Fig. 4.</
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gant ipſam ad terminos baſis rectæ A D, C D, quæ con-
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veniant in puncto D. </
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duabus tertiis trianguli A D C. </
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tionem contingat in vertice B, & </
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<
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lum maximum A B C. </
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<
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">Quum igitur triangulum E D F ma-
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jus ſit dimidio trianguli A B C , manifeſtum eſt ab
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xml:space
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">per. 2. huj.</
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partem abſcindi poſſe, ita ut reliquum tamen majus ſit di-
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midio dicti A B C trianguli. </
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<
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triangulum E D G. </
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<
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xml:space
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">Et ducantur porro rectæ H I, K L,
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quæ portiones reliquas A M B, B N C in verticibus ſuis
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contingant, ipſiſque portionibus triangula maxima inſcri-
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bantur. </
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">Idemque prorſus circa reliquas portiones fieri intel-
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ligatur, donec tandem portiones reſiduæ ſimul minores ſint
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quam duplum trianguli E D G. </
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<
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ni figura quædam rectilinea, atque alia circumſcripta. </
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quoniam triangulum E G F majus eſt dimidio trianguli
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A B C; </
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dimidia triangulorum A M B, B N C; </
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<
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per ratione in reliquis locum habet, ut triangula ſuper por-
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tionum verticibus conſtituta, eorum quæ intra portiones i-
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pſas deſcripta ſunt, majora ſint quam ſubdupla: </
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<
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angula omnia extra portionem poſita etiam abſque triangu-
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lo E G D majora ſimul eſſe quam dimidia triangulorum o-
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mnium intra portionem deſcriptorum. </
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portione reliquorum triangulum quoque E G D majus eſt
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quam ſubduplum. </
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<
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quis triangulis, quæ ſunt extra portionem, majus erit dimi-
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dio portionis totius A B C. </
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