Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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<
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xml:space
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<
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inſtrumentum hoc modo. </
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<
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A B, paulò minor, quàm menſoris ſtatura, diuidaturque in 5. </
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<
s
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plures, paucioreſue æquales, & </
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<
s
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xml:space
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">in prima eius parte C, velin alia quacunque, in-
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figatur alius baculus C D, ad rectos angulos, in
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quo ſumantur ordine quotcun que palmi, aut pe-
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des. </
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<
s
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xml:space
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">In extremitate quo que baculi A B, infigatur
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alius baculus B E, ad angulos rectos: </
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<
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ctumque erit inſtrumentum, quo varias magnitu-
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dines licebit metiri, vt patebit: </
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<
s
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">Sit enim primum
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metienda diſtantia B F, cuius terminum F, menſor
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in altero termino B, exiſtens videre poſsit ex A, etiamſi in medio ſint valles, & </
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<
s
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alia impedimenta. </
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<
s
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xml:space
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">Conſtituatur inſtrumentum in tali ſitu, vt A B, ſit ad Hori-
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zontem perpendicularis, & </
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<
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<
s
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">Inſpecto extremo F, ex A,
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notetur ſumma cura ac diligentia punctum D, in baculo C D, per quod radius
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viſualis tranſit. </
s
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<
s
xml:id
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xml:space
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"> Nam cum triangula A C D, A B F, ſint ſimilia; </
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<
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xml:space
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ſexti.</
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Vt A C, # Ad A B, # Ita C D, # ad B F,
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inuenta erit diſtantia B F, in partibus C D. </
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<
s
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xml:space
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">Itaque ſi A C, eſt quinta pars, verbi
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gratia, baculi A B, erit quoque C D, quinta pars diſtantiæ B F. </
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<
s
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xml:space
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">Et quia in noſtro
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exemplo C D, continet 2. </
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<
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">pedes, ſi eos multiplicemus per 5. </
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<
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</
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<
s
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</
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<
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<
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autem erit diligenter, vt quando radius viſualis non tran-
<
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ſit per aliquem pedem integrum baculi C D, inueſtigetur, quot decimæ, vel
<
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centeſimæ vnius pedis in particula abſciſſa contineantur, per ea, quæ lib. </
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<
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<
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<
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<
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dantur. </
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ſura intelligendum eſt, ſi ea in C D,
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loco pedum ſignietur.</
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</
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<
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<
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hoc eadem facilitate præſtitimus ope quadrati, tum penduli,
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tum ſtabilis.</
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</
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<
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">DISTANTIAM inter duo montium aut turrium cacumina, ope
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prædicti inſtrumenti coniicere.</
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<
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xml:space
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">PROBLEMA XXXVII.</
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<
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<
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<
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duo cacumina montium F, G. </
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<
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fig-172-02
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fig-172-02a
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105
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172-02
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ſito puncto B, prædicti inſtrumenti in cacumi-
<
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ne F, minoris montis, deprimatur baculus A B,
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donec baculus B E, recta in cacumen G, ten-
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dat, quod per duos clauiculos in B, E, infixos,
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facile fiet, vt Num. </
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<
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<
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<
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<
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nente in hoc ſitu inſtrumento, inſpiciatur ca-
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cumen G, ex A, obſeruetur que punctum D, interſectionis radij A G, cum bacu-
<
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<
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ſexti.</
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lo C D. </
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<
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xml:space
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