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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A D ad D F; </
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quàm L K ad K E. </
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<
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xml:space
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A B C ad exceſſum quo ipſa ſuperatur à figura ordinatè cir-
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cumſcripta. </
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<
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xml:space
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">Itaque cum K ſit centrum grav. </
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<
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xml:space
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ni circumſcriptæ, & </
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<
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">ipſius portionis; </
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<
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M centrum gravitatis omnium ſpatiorum quæ eundem exceſ-
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ſum conſtituunt . </
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<
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<
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xml:space
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">Nam ſi per
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">8. lib. 1.
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Arch. de
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Æquipond.</
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linea ducatur diametro B D parallela, erunt ab una parte
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omnia quæ diximus ſpatia. </
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<
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">Manifeſtum eſt igitur, portio-
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nis A B C centrum grav. </
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<
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">eſſe in B D portionis diametro.</
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<
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</
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<
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<
s
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">Eſto nunc A B C portio ellipſis vel circuli, dimidiâ fi-
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">TAB. XXXIV.
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Fig. 5.</
note
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gurá major. </
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<
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dum ſectioni occurrat in E; </
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<
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">erit igitur portionis A E C dia-
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meter E D, & </
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<
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<
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xml:space
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">Et quoniam
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in B D E diametro eſt figuræ totius centrum gravitatis, (hoc
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enim ex prædemonſtratis conſtabit, ſi in duo æqualia tota
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figura dividatur diametro quæ ipſi A C ſit parallela,) & </
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eadem centr. </
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<
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">gravitatis A E C portionis minoris, ſicut mo-
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dò oſtenſum fuit; </
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liquæ A B C in B D E ; </
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<
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Archim. dc
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Æqu@pond.</
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<
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.</
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<
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xml:space
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">Eſto linea E B, cui ad utrumque terminum adjiciantur æ-
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Fig. 6.</
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quales duæ E S, B P, & </
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rectangulum E D B excedit E P B, æquari rectangulo S D P.
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</
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E D P & </
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rectangulum E P B rectangulo D P B. </
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guli E D B ſupra rectangulum E P B æqualis eſt duobus iſtis,
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rectangulo E D P, & </
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rectangulo D P B, id eſt rectangulo ſub E S, D P, æquale
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fit rectangulo S D P. </
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<
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">Manifeſtum eſt igitur, exceſſum re-
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ctanguli E D B ſupra E P B, æquari rectangulo S D P.</
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</
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<
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<
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">Eſto rurſus linea E B, cui ad utrumque terminum
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Fig. 7.</
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