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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ſic C E, hoc eſt, ipſa A D ad E D. </
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R D A ad rectangulum ſub R D, Q, hoc eſt, A D ad Q
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ſicut A B ad E D. </
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<
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A D ut E D ad Q. </
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ita C E ad E D. </
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E D ad Q. </
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ſunt C E, E D. </
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<
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. IV.</
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ſub angulo exteriori rectam magnitudine da-
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tam quæ ad angulum oppoſitum pertineat.</
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<
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">Eſto quadratum B A cujus productum ſit latus F A. </
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Fig. 7.</
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verò linea K. </
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pars intercepta D C ſit datæ K æqualis.</
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<
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ſuper B G diametro deſcribatur ſemicirculus B C G ſecans
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rectam F A productam in C, & </
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æqualem eſſe ipſi K. </
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C H ipſi B G ad angulos rectos.</
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<
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tera B E, C H circa angulos rectos inter ſe æqualia, erit
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& </
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autem quadrata D C, C G, hoc eſt, quadrata D C, C H,
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& </
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E D. </
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H G; </
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E G, hoc eſt, quadratis ex K & </
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ſtruct.</
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E B æquale eſt quadrato C H. </
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tum D C æquabitur K quadrato; </
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erat oſtendendum.</
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<
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lex. </
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terum eandem ad caſum quoque ſequentem pertinere inveni-
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mus.</
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