Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
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CHRISTIANI HUGENII
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quadrata (ſi O ſit punctum ſupremum figuræ O Q P, & </
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<
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<
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.</
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O H ſubcentrica cunei ſuper ipſa abſciſſi, plano per rectam
<
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O V, parallelam S F) æqualia ſunt rectangulo O T H & </
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<
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quadrato S T, multiplicibus ſecundum numerum particula-
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rum dictæ figuræ, ſive magnitudinis A B C D. </
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xml:space
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">Prop. 9.
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huj.</
note
>
vero diſtantiarum magnitudinis A B C D à plano F E,
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/>
quantumcunque axis oſcillationis F diſtet à centro gravita-
<
lb
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tis E, ſemper eadem ſunt: </
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<
s
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xml:space
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">quæ proinde putemus æquari
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ſpatio Z, multiplici ſecundum numerum particularum ma-
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gnitudinis A B C D.</
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</
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<
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<
s
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xml:space
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">Itaque quoniam quadrata diſtantiarum magnitudinis
<
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A B C D, ab axe oſcillationis F, æquantur iſtis, quadrato
<
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/>
nimirum S T, rectangulo O T H, & </
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<
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xml:space
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cibus per numerum particularum ejusdem magnitudinis; </
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<
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applicentur hæc omnia ad diſtantiam F E ſive S T, orietur
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longitudo F G penduli iſochroni magnitudini A B C D .</
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xml:space
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">Prop. 6.
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huj.</
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>
Sed ex applicatione quadrati S T ad latus ſuum S T, orie-
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tur ipſa S T, ſive F E. </
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<
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xml:space
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">Ergo reliqua E G eſt ea quæ ori-
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tur ex applicatione rectanguli O T H, & </
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<
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xml:space
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">plani Z, ad ean-
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dem S T vel F E.</
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</
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<
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<
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xml:space
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">Quare ſupereſt ut demonſtremus rectangulum O T H,
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cum plano Z, æquari plano I. </
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<
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xml:space
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">Tunc enim conſtabit, etiam
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planum I, applicatum ad diſtantiam F E, efficere longitu-
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/>
dinem ipſi E G æqualem. </
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<
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xml:space
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ctangulum O T H, multiplex ſecundum numerum particu-
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larum figuræ O Q P, ſive magnitudinis A B C D, æ-
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xml:space
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">Prop. 10.
<
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huj.</
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>
quatur quadratis diſtantiarum figuræ ab recta X T , quæ per centrum gravitatis T ducitur ipſi S F parallela; </
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inde etiam quadratis diſtantiarum magnitudinis A B C D,
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à plano horizontali K K, ducto per centrum gravitatis E;
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</
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<
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">At vero planum Z, ſi-
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militer multiplex, æquale poſitum fuit quadratis diſtantia-
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rum magnitudinis A B C D à plano verticali F E. </
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tet quidem quadrata hæc diſtantiarum à plano F E, una cum
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dictis quadratis diſtantiarum à plano horizontali per E, æ-
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qualia eſſe quadratis diſtantiarum ab axe gravitatis per </
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