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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<
s
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xml:space
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">Eſto circulus cujus centrum A, & </
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<
s
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xml:space
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">inſcribatur ipſi polygo-
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xml:space
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">TAB. XXXVIII.
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Fig. 6.</
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num lateribus æqualibus, quorum unum ſit B C; </
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<
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xml:space
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">ali-
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ud ſimile circumſcribatur F E G, cujus latera circulum con-
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tingant ad occurſum angulorum polygoni prioris. </
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<
s
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echoid-s1275
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xml:space
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culum minorem eſſe duabus tertiis polygoni F E G ſimul
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cum triente polygoni B C. </
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<
s
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xml:space
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">Ducantur namque ex centro re-
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ctæ A B, A C. </
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<
s
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xml:space
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">Igitur quoniam ſuper baſi portionis B D C
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conſiſtit triangulum B E C, cujus latera portionem contin-
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gunt, erit ipſa minor duabus tertiis trianguli B E C . </
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<
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xml:space
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">per. 4. huj.</
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taque ſi triangulo A B C addantur duæ tertiæ trianguli B E C,
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hoc eſt, duæ tertiæ exceſſus quadrilateri A B E C ſupra tri-
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angulum A B C, ex utriſque compoſitum ſpatium majus
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erit ſectore circuli A B C. </
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<
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xml:space
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">Idem eſt autem, ſive triangulo
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A B C addantur duæ tertiæ exceſſus dicti, ſive addantur duæ
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tertiæ quadrilateri A B E C, contraque auferantur duæ ter-
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tiæ trianguli A B C: </
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<
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">hinc autem fiunt duæ tertiæ quadri-
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lateri A B E C cum triente trianguli A B C. </
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<
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xml:space
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ſectorem A B C minorem eſſe duabus tertiis quadrilateri
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A B E C & </
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<
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xml:id
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xml:space
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">triente trianguli A B C. </
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<
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xml:id
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xml:space
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">Quare ſumptis omni-
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bus quoties ſector A B C circulo continetur, totus quoque
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circulus minor erit duabus tertiis polygoni circumſcripti
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F E G & </
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<
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<
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. VII.
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. VII.</
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<
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">OMnis circuli circumferentia major eſt perime-
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tro polygoni æqualium laterum ſibi inſcripti,
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& </
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<
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xml:space
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">triente exceſſus quo perimeter eadem ſuperat pe-
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rimetrum alterius polygoni inſcripti ſubduplo late-
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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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xml:space
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">Eſto circulus A B, centro O, cui inſcribatur polygonum
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<
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">TAB. XXXVIII.
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Fig. 7.</
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æquilaterum A C D, atque alterum duplo laterum nume-
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ro A E C B D F. </
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<
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lygoni A E C B D F, G H vero æqualis perimetro </
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