Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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IN LIB JAC. GREG.
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Propoſitionis non bene ſit ſolutum; </
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xml:space
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inveniatur terminatio progreſſionis convergentis, inveniſſe
<
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quantitatem compoſitam eodem modo e primis & </
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<
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xml:space
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terminis; </
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<
s
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xml:space
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">nam talis ſolutio tantum locum habet quando
<
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quantitas illa detegitur, non inveſtigatâ quantitate quæ di-
<
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citur z in 7 Propoſitione; </
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<
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xml:space
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">vel quum eadem quantitas non
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componitur ex ulla quantitate quæ datur in terminis progreſ-
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ſionis, ut in 7
<
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. </
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<
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xml:space
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<
s
xml:id
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xml:space
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">nam Autor ſu-
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mendo z = {mae - mbe/ad - bd} non videtur obſervaſſe, diviſionem poſ-
<
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/>
ſe fieri per a-b.</
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<
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xml:id
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xml:space
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</
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<
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<
s
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xml:space
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">In exemplo propoſitionis 10, non quæritur quantitas z,
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ſed z appellatur ipſa terminatio; </
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<
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xml:space
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">& </
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<
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xml:space
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">in tranſitu notandum eſt
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exemplum illud allatum eſſe citra propoſitum nam progreſ-
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ſio, cujus primi termini ſunt a, b, & </
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<
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{aa/Vab} non eſt progreſſio conyergens, neque habet terminatio-
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nem, quamvis autor illam inveniat.</
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<
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<
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xml:space
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">Quod attinet ad methodum, quam Autor propoſuit ad ap-
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propinquandum per numeros ad dimenſionem Circuli; </
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xml:space
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Hugenius dixit ſibi videri ſe quid magis accuratum dediſſe
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in libro cui titulus eſt de Circuli magnitudine, edito 1654.
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</
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<
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xml:space
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">Addidit illa, quæ Gregorius habet de dimenſione Hy-
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perbolæ & </
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<
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">ratione quam habet cum Logarithmis, bona
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quidem eſſe ſed minime nova membris ſocietatis, cum poſ-
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ſint recordari, ſe ipſis idem jam propoſuiſſe, regulamque ad in-
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veniendos logarithmos, jamdudum actis eorum inſertam eſſe. </
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Se etiam non credere illud novum videri regiæ ſocietati An-
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glicanæ, cum qua jam ante plures annos communicavit me-
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thodum ad invenienda pondera aëris in diverſis altitudini-
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bus ſupra terram, quæ fundamentum in hac ipsâ Hyperbolæ
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dimenſione habet.</
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<
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<
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xml:space
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">Hæc autem eſt methodus, quam D
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Hugenius propoſuit
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ad inveniendum per logarithmos dimenſionem Spatii Hy-
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perbolici contenti inter Curvam & </
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duas lineas paralelas ad alteram Aſymptoton, data ratione </
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