Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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VERA CIRCULI
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ſequentes Vqab, {aa.</
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">/Vqab} ſumma terminorum convergentium
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multiplicata in terminum convergentem primum
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efficit
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aa + ab: </
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<
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">ſumma terminorum convergentium immediate ſe-
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quentium nempe Vqab + {aa/Vqab} multiplicata in primum terminum
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convergentem
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efficit etiam aa + ab; </
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riei propoſitæ terminatio. </
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<
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">manifeſtum eſt quantitatem aa + ab
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eodem modo fieri à terminis convergentibus
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quo à termi-
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nis convergentibus immediatè ſequentibus Vqab, {aa/Vqab:</
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niam quantitates
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indefinitæ ponuntur pro quibuslibet to-
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tius ſeriei terminis convergentibus, evidens eſt ſummam quo-
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rumcunque terminorum convergentium propoſitæ ſeriei mul-
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tiplicatam in primum terminum convergentem efficere quan-
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titatem æqualem illi, quæ fit à ſumma terminorum conver-
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gentium immediatè ſequentium multiplicata etiam in primum
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ſuum terminum convergentem; </
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<
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gentes duos terminos convergentes ſemper immediatè ſe-
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quuntur, manifeſtum eſt ſummam duorum quorumlibet ter-
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minorum convergentium multiplicatam in primum ſemper
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efficere eandem quantitatem nempe aa + ab, atque ultimi ter-
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mini convergentes ſunt æquales, & </
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terminus ſeu ſeriei terminatio
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, quæ ſibi addita & </
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mam multiplicata efficit
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, quæ quantitas debet eſſe æqua-
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lis quantitati aa + ab, & </
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ſeu ſeriei
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terminatio {Vq aa + ab,/2} quam invenire oportuit.</
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tis terminationem; </
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eodem modo compoſitam ex terminis convergentibus primis,
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quo componitur eadem quantitas ex terminis convergentibus
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ſecundis.</
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gentes a, b, ſint primi, ſecundi, vel tertii &</
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