Clavius, Christoph
,
Geometria practica
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LIBER QVARTVS.
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<
s
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ctil.</
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4338837. </
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<
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<
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xml:space
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">ſemiſſem lateris, id eſt, ita ſi-
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nus complementi eiuſdem anguliinuenti, hoc eſt, ita ſinus grad. </
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<
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<
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</
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<
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<
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<
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xml:space
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<
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ad perpendicularem huic complemento inuenti anguli oppoſitam in triangulo
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rectangulo: </
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<
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xml:space
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">Inuenta eſt hæc perpendicularis {9011398/8677678} quæ tandem ducta in {7/2}. </
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ſemiſſem ambitus heptagoni produxit aream heptagoni 3 {11014442/17355348}. </
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<
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xml:space
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">velin mino-
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ribus numeris 3 {5507221/3677674} At que hac eadem ratione aream cuiuſcunque figurære-
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gularis latus habentis 1. </
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<
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xml:space
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">dummodo numerus laterum maior non ſit, quam 80. </
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reperies: </
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<
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">Ex qua deinde aream ſimilis figuræ latus habentis maius, quam 1. </
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<
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regulam Num. </
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<
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<
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<
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<
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tamen artificio hoc Num. </
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<
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<
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xml:space
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">expoſito aream cuiuſuis figuræ regu-
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laris, etiamſi latus habeat maius, quam 1. </
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<
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xml:space
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">(ſi placet) colligere licebit, quamuis
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non reperiatur prius area figuræ ſimilis, cuius latus ſit 1. </
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<
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xml:space
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<
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ſis lateris 1. </
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<
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xml:space
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">accipiatur ſemiſsis lateris dati, quod maius ſit quam 1. </
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<
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xml:space
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eſt.</
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</
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<
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<
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xml:space
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">Cognita area figuræ regularis, cuius numerus laterum maior non ſit, quã
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">Ex area co-
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gnita quo pa-
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cto lat{us} erua-
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tur.</
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12. </
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<
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<
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1. </
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<
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lateris 1. </
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<
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<
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<
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dix ergo eius qua drata dabit latus quæſitum. </
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dratum lateris ad quadratum lateris; </
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<
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<
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ſexti.</
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nis laterum duplicata.</
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<
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<
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ſi area cognita ſit figuræ regularis plura latera habentis, quam 12. </
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<
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plura tamen, quam 80. </
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<
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1. </
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<
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<
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<
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quirendum, vt hoc Num. </
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<
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<
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<
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xml:space
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ſa eſſet ad plura latera, inueniretur eodem modo latus figuræ plurium laterum,
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quam 80. </
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<
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<
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">Exempli gratia. </
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<
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</
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<
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xml:space
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<
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<
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{13/30}. </
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<
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<
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<
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">ita 1. </
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<
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<
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dratum lateris quæſiti 36. </
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<
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<
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<
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<
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VI.</
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<
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<
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ceſſe eſt probè noſſe, quæ Archimedes de circuli dimenſione tradidit.
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</
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<
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ſane, & </
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<
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">ſubtiliſsimum hic interſeram, tum quia breuiſsimus eſt, quippe quitri-
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bus duntaxat propoſitionibus conſtet: </
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<
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">tum ne ſtudio ſus, vt rem tam vtilem,
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atque apud omnes artifices peruulgatam intelligat, Archimedem ipſum adire
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cogatur: </
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<
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">tum vero maximè, quod cum Archimedis ſcripta ob affectatam bre-
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uitatem, ſint paulo obſcuriora, illis nos lucem aliquam allaturos ſperamus. </
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