Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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xml:space
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DEMONSTRATIO
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REGULÆ
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DE
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MAXIMIS ET MINIMIS.</
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ſtionibus, regulam certam primus, quod ſciam, Fer-
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matius adhibuit: </
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<
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">cujus originem ab ipſo non traditam cum
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exquirerem, inveni ſimul quo pacto ea ipſa regula ad mira-
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bilem brevitatem perduci poſſet, utque inde eadem illa exiſte-
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ret quam poſtea vir ampliſſimus Joh. </
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<
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xml:space
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quam partem regulæ ſuæ generalioris atque elegantiſſimæ,
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quæ ab alio prorſus principio pendet. </
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nio edita eſt unà cum Carteſianis de Geometria libris. </
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matianæ autem regulæ examen quod inſtitui eſt hujuſ-
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modi.</
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<
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">Quoties Maximum aut Minimum in problemate aliquo de-
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fig. 1.</
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terminandum proponitur, certum eſt utrinque æqualitatis
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caſum exiſtere: </
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">puncta A,
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B, oporteatque invenire in E D punctum C, unde ductis C A,
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C B, quadrata earum ſimul ſumpta, ſint minima quæ eſſe poſ-
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ſint; </
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F, à quibus ducendo rectas G A, G B; </
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ma quadratorum G A, G B æqualis ſummæ quadratorum F A,
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F B, & </
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ſumptis.</
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fiat ſumma quadratorum ab ipſis omnium minima; </
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B D perpendicularibus in E D, quarum A E dicatur a; </
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b; </
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