Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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Tangens 7. </
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<
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xml:space
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">ſima in AF,
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eadem reperi-
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atur reſpectu
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dati ſin{us} to-
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ti{us}.</
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majoribus, quarum maior minorem ſeptem vnitatibus ſuperet, nimirum 30.
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</
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<
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<
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rectam lineam transferatur) Tangentem 7. </
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<
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<
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ſumendæ erunt duæ Tangẽtes maiores prope medium inſtrumenti quarum
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<
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differentia æqualis ſit Tangenti exiguæ propoſitæ.</
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<
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<
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vtraque regula AF, AG, contineat 1000. </
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<
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xml:space
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">particulas, & </
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<
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tupropoſitus conſtituatur 1000. </
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<
s
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xml:space
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">eique interuallũ F G, æquale ſumatur, com-
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modiſsime accipientur omnes Tangentes, vtin Tabula nouæ deſcriptionis
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horologiorum poſitæ ſunt. </
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<
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regulæ A F, A G, eique ſinus totus F G, bis adijciatur.</
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<
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<
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ſi adhibeas lineam K L, partium 11. </
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Tangentes reſpectu ſinus totius 10000. </
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<
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">in 100.
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</
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<
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xml:space
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">particulas diſtributam adhibeas, habebis Tangentes reſpectu ſinus totius
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100000. </
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<
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">Si denique rectam partium 1001. </
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<
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<
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nebis Tangentes, poſito ſinu toto 1000000. </
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<
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dictum eſt de Tangentibus, intelligendum eſt etiam de ſinu-
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bus, & </
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partium ſit 100. </
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<
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">ſiue plurium, dabunt interualla inter ſinus, vel ſe-
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cantes in vtraqueregula A F, A G, acceptas, per ea, quæ Num. </
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<
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ſinus & </
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<
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">ſecantes reſpectu ſinus totius F G, accepti; </
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<
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ma 5. </
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<
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<
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">noſtri Aſtrolabij, eandem proportionem habet ſinus totus A F, ad
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ſinum totum F G, quam ſinus verbi gratia A 50. </
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<
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">ad ſinum arcus circuli, cuius
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ſemidiameter F G, quiarcus arcuiſinus A 50. </
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<
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<
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xml:space
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ad F G, ita A 50. </
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<
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<
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<
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A 50. </
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<
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</
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<
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gnoſcatur,
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quot decimæ
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in particula
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cuiuſuis cen-
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teſimæ partis
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contineantur.</
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cognoſcemus, quot particulas ex 1000. </
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<
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cula vnius partis rectæ A F, complectatur: </
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<
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<
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tur data particula, vna cum vna parte centeſima, vel duabus, vel tribus, qua-
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tuorue; </
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<
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xml:space
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">circinuſque decies repetatur in recta A F, diligenterque notetur ſe-
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gmentum rectæ A F, quod circinus percucurrit. </
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<
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">Nam ſi ex partibus centeſimis
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in eo ſegmento contentis abijciantur to ties 10. </
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<
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xml:space
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la data ſumptę fuerũt, reliquus numerusindicabit partes decimas vnius cen-
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teſimæ, hoc eſt, milleſimas in data particula comprehenſas. </
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<
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xml:space
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particula eius ſegmenti (ſi qua forte ſuperſit) ſimiliter agemus, reperiemus
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partes decimas vnius milleſimæ, hoc eſt, partes {1/10000}. </
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<
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xml:space
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">Et ſi iterum operatio-
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nemrepetemus, inueniemus partes {1/10000}. </
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<
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fabrica, & </
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<
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ſtrationem breuiter capite in ſequenti Num. </
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<
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<
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particula data cum tribus centeſimis deciesrepetita percurrat partes 37. </
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<
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ctis 30. </
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<
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<
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">vnius centeſimæ. </
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<
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xml:id
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ticula data fuerit V. </
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<
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">g. </
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<
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">poſt vigeſimam partem centeſimam, continebit illud
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ſegmentum rectæ A F, {207/1000}. </
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<
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xml:space
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">Nam {7/10} vniuscenteſimæ faciunt {7/1000}. </
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<
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">& </
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<
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<
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teſimæ, ſi ſingulæ in decem particulas congitentur eſſe ſectæ, efficiunt {200/1000}.
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</
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<
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">quippe cum omnes centum partes æqui valeant 1000. </
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<
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