Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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DE CIRCULI MAGNIT. INVENTA.
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rectis A D, D C & </
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">arcu A B C comprehenſum majus erit
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portionis A B C dimidio. </
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<
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xml:space
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majus quam portionis A B C ſeſquialterum. </
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<
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xml:space
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monſtrandum.</
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<
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. V.
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. V.</
head
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<
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<
s
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xml:space
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">OMnis circulus major eſt pylogono æqualium
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laterum ſibi inſcripto & </
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<
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xml:space
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id polygonum ſuperat aliud inſcriptum ſubduplo la-
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terum numero.</
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<
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</
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<
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<
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">Eſto circulus centro C; </
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<
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xml:space
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">TAB. XXXVIII.
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Fig. 5.</
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æqualium laterum, quorum unum ſit A B. </
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xml:space
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item polygonum ſit inſcriptum, cujus bina latera A D, D B,
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ſubtendat A B. </
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<
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xml:space
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autem exceſſus trienti æquale H ſpatium. </
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<
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xml:space
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jorem eſſe polygono A D B una cum ſpatio H. </
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<
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enim ex centro rectæ C A, C B. </
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<
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xml:space
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circuli A D B major eſt quam ſeſquitertia trianguli A D B ſibi
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inſcripti ; </
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<
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xml:space
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">erunt portiones A D, D B, ſimul majores
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*
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xlink:label
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xml:space
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">per. 3. huj.</
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ente trianguli A D B. </
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erit utriſque ſimul quadrilatero C A D B & </
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xml:space
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guli A D B. </
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<
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xml:space
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">Sicut autem ſector C A B ad circulum totum,
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ita eſt quadrilaterum C D B A ad polygonum A D B, & </
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ita quoque triens trianguli A D B ad trientem exceſſus po-
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lygoni A D B ſupra polygonum A B. </
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<
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xml:space
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">Ergo manifeſtum eſt
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circulum quoque totum majorem fore polygono A D B una
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cum triente exceſſus quo polygonum A D B ſuperat poly-
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gonum A B, hoc eſt, unà cum ſpatio H. </
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ſtrandum.</
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<
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. VI.
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. VI.</
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<
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<
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xml:space
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ni æqualium laterum ſibi circumſcripti & </
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ente polygoni ſimilis inſcripti.</
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