Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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TAB. XII.
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Fig. 2.</
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">OMnis curva linea terminata, in unam partem
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cava, ut A B D, ut poteſt in tot partes dividi, ut
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ſi ſingulis partibus ſubtenſæ rectæ ducantur, velut
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A B, B C, C D; </
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<
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">à ſingulis item diviſionis
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punctis, ipſaque curvæ extremitate rectæ ducan-
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tur curvam tangentes, ut A N, B O, C P, quæ
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occurrant iis, quæ in proxime ſequentibus diviſionis
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punctis curvæ ad angulos rectos inſiſtunt, quales
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ſunt lineæ B N, C O, D P; </
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<
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">ut inquam ſubtenſa
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quæque habeat ad ſibi adjacentem curvæ perpendi-
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cularem, velut A B ad B N, B C ad C O, C D
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ad D P, rationem majorem quavis ratione propo-
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ſita.</
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">Sit enim data ratio lineæ E F ad F G, quæ recto angulo
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ad F jungantur, & </
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<
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<
s
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">Intelligatur primo curva A B D in partes tam exiguas ſe-
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cta punctis B, C, ut tangentes quæ ad bina quæque inter
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ſe proxima puncta curvam contingunt, occurrant ſibi mutuo
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ſecundum angulos qui ſinguli majores ſint angulo F E H;
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<
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">quales ſunt anguli A K B, B L C, C M D. </
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fieri poſſe evidentius eſt quam ut demonſtratione indigeat. </
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Ductis jam ſubtenſis A B, B C, C D, & </
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perpendicularibus B N, C O, D P, quæ occurrant pro-
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ductis A K, B L, C M, in N, O, P: </
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<
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gulas rectarum, A B ad B N, B C ad C O, C D ad D P,
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majores eſſe ratione E F ad F G.</
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<
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reſiduus illius ad duos rectos, nimirum angulus N K B,
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minor angulo G E F. </
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eſt rectus, ſicut & </
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