Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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HYPERB. ELLIPS. ET CIRC.
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<
s
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xml:space
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">Data ſit portio A B C & </
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<
s
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xml:space
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">triangulus D E F, baſibus A C,
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<
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xlink:href
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">TAB. XXXIV
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Fig, 2.</
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D F æqualibus; </
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<
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xml:space
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">portionis diameter ſit B G, in trian-
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gulo verò ducta à vertice in mediam baſin linea E H. </
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<
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xml:space
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autem utræque B G, E H vel ad baſes rectæ vel æqualiter
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inclinatæ; </
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<
s
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xml:space
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">& </
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<
s
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echoid-s88
"
xml:space
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">quam rationem habet B G ad E H, in eandem
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dividatur ſpatium datum, ſintque partes K & </
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<
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xml:space
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">L. </
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<
s
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xml:space
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">Circumſcri-
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batur jam ſicut antea portioni A B C figura ordinatè, quæ
<
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portionem ſuperet exceſſu minore quàm ſit ſpatium K. </
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<
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xml:space
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">Et
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triangulo D E F circumſcribatur figura quæ totidem paral-
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lelogrammis conſtet, quot ſunt in figura portioni A B C cir-
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cumſcripta.</
s
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</
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<
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<
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">Quoniam igitur baſes portionis & </
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<
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">trianguli æquales ſunt,
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apparet quidem omnium parallelogrammorum eandem fore
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latitudinem. </
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<
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xml:space
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">Hinc quum parallelogrammum B M ſit ad E R
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ut B G ad E H, id eſt ut K ad L, ſitque B M minus quam
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K , erit quoque E R minus quam L . </
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<
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xml:space
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">Verùm omnia
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.</
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<
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2
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xlink:label
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Elem.</
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gula quibus conſtat exceſſus figuræ circumſcriptæ ſupra trian-
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gulum D E F, æqualia ſunt parallelogrammo E R, ergo
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minor eſt idem exceſſus ſpatio L. </
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<
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ra circumſcripta portionem A B C ſuperat, minor eſt ſpa-
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tio K. </
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<
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xml:space
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dato. </
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xml:space
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<
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III.</
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tioni, dimidiâ ellipſi dimidiove circulo non majori,
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circumſcribatur figur a or dinatè; </
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<
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gravitatis erit in portionis diametro.</
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</
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<
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<
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<
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">TAB. XXXVI.
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Fig. 3.</
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& </
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dum eſt ejus figuræ centrum gravitatis fore in B D diametro.
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latera parallelogrammorum quæ à diametro portionis æqua-
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liter utrinque diſtant.</
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