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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</
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<
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<
s
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xml:space
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">Ponatur G cyphra ſeu nihil hoc eſt exponens rationis æ-
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qualitatis, ſeu rationis A ad A; </
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ponens rationis B ad A: </
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<
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xml:space
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G & </
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<
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">H, hoc eſt ipſa H vel exponens rationis B ad A ad ex-
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ceſſum quo I ſuperat G hoc eſt ipſam I, ſed ut M ad N
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ita ratio B ad A eſt multiplicata rationis C ad A; </
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<
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<
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">igitur
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Exceſſus quo I ſuperat G hoc eſt ipſa I eſt exponens ratio-
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nis C ad A. </
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<
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xml:space
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">ſit ut M ad O ita differentia inter G & </
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<
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">H hoc
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eſt H ad exceſſum quo K ſuperat G hoc eſt ipſam K, ſed
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ut M ad O ita ratio B ad A eſt multiplicata rationis D ad
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A, cumque H ſit exponens rationis B ad A, erit K expo-
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nens rationis D ad A: </
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<
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">ſi igitur I ſit exponens rationis C ad
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A & </
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<
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<
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xml:space
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">erit exceſſus quo K ſu-
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perat I exponens rationis D ad C. </
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<
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">deinde ſit ut M ad N
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ita exceſſus quo K ſuperat I ſeu exponens rationis D ad C
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ad exceſſum quo R ſuperat I, ſed ut M ad N ita ex ſeriei
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compoſitione ratio D ad C eſt multiplicata rationis E ad
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C, atque exceſſus quo K ſuperat I eſt exponens rationis
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D ad C; </
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<
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<
s
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">proinde exceſſus quo R ſuperat I eſt exponens
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rationis E ad C, atque I eſt exponens rationis C ad A, & </
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inde R eſt exponens rationis E ad A. </
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O ita exceſſus quo K ſuperat I ad exceſſum quo S ſuperat
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I, ſed ut M ad O ita ex ſeriei compoſitione ratio D ad
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C eſt multiplicata rationis F ad C, cumque exceſſus quo
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K ſuperat I ſit exponens rationis D ad C; </
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<
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">erit exceſſus quo
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S ſuperat I exponens rationis F ad C, atque I eſt expo-
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nens rationis C ad A, & </
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ad A: </
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<
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tionis F ad A; </
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<
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tionis F ad E: </
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<
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tur ut antè T eſſe exponentem rationis X ad A, & </
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