Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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<
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xml:space
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<
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<
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<
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.</
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re C V P, qui cum L V C duos rectos æquat, minor erit
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quam V C D. </
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xml:space
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fit V C N; </
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xml:space
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">& </
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<
s
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xml:space
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">auferendo ab C V P angulum P V N, fit
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C V N. </
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<
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xml:space
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">Ergo angulus V C N omnino major quam C V N.
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<
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xml:space
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">In triangulo itaque C V N, latus V N majus erit quam
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C N. </
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<
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xml:space
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C M major quam C N, ideoque punctum circumferentiæ
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M erit ultra curvam N A B à centro C remotum. </
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conſtat circumferentiam M A F tangere curvam in puncto A. </
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<
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quod erat demonſtrandum.</
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</
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<
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<
s
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xml:space
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">Quod ſi punctum curvæ per quod tangens ducenda eſt,
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ſit illud ipſum ubi regula curvam ſecat, erit tangens quæſi-
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ta ſemper regulæ perpendicularis; </
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<
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">ut facile eſſet oſtendere.</
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<
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">PROPOSITIO XVI.</
head
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">SI circuli circumferentiam, cujus centrum E, ſe-
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cent rectæ duæ parallelæ A F, B G, quarum
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Fig. 2.</
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utraque ad eandem partem centri transeat, vel
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altera A F per centrum ipſum: </
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">& </
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>
<
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">à puncto A,
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quo centro propior circumferentiam ſecat, ducatur
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recta ipſam contingens: </
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>
<
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xml:id
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xml:space
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">dico partem hujus A B, à
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parallela utraque interceptam, minorem eſſe arcu
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A C, ab utraque eadem parallela intercepto.</
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<
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">Ducatur enim arcui A C ſubtenſa recta A C. </
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">Quia ergo
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angulus B A F eſt æqualis ei quem capit portio circuli A H F,
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quæ vel major eſt ſemicirculo vel ſemicirculus, erit proinde
<
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/>
angulus B A F, vel minor recto vel rectus; </
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<
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lus A B C vel major recto vel rectus. </
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A B C latus A C, angulo B ſubtenſum, majus erit latere
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A B. </
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no & </
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