Clavius, Christoph
,
Geometria practica
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LIBER SEXTVS.
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0. # 1. # 2. # 3. # 4. # 5. # 6. # 7. # 8. # 9. # 10.&c.
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1. # 2. # 4. # 8. # 16. # 32. # 64. # 128. # 256. # 512. # 1024. &c.
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# Radix # Quadratus # Cubus. # Zenſizenſus # Surdeſoli- \\ dus. # Zenſicubus # B, ſurdeſo- \\ lidus. # Zenſizen- \\ zenſus # Cubicubus # Zenſurde- \\ ſolidus.
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<
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numeri ſuperioris progreſsionis ſignificant ſpecies multiplicatio-
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num. </
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<
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<
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radix bis ponitur, & </
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<
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<
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<
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<
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cationem cubicam fieri, dum radix ter ponitur, atque ita multiplicatur, vt 2. </
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<
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<
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</
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<
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">Pari ratione 4. </
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<
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">Et 5. </
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ſolidam, &</
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<
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ijdem @numeri ſignificant radicum ſpecies. </
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xml:space
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<
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cem quadratam producere quadratum per multiplicationem quadratam: </
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<
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xml:space
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">Et
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3. </
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<
s
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xml:space
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">denotat, radicem Cubicam procreare Cubum per multiplicationem cubicam:
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</
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<
s
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xml:space
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">Et ſic deinceps.</
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<
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<
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style
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>
extra ctionibus igitur radicum obſeruanda eſt ſignatio figurarum per pũ-
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cta in numero, ex quo radix aliqua extrahenda eſt, hoc modo.</
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<
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<
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>
extractione radicis quadratæ ſignantur omnes figuræ in Iocis imparibus,
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incipiendo à dextris: </
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<
s
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xml:space
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">ita vt alternatim ſemper vna figura omittatur, quæ non
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ſignetur.</
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<
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style
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>
extractione cubica omittuntur ſemper
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Pro quadrata.
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68719476736
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. . . . . .
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Pro cubica
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68719476736
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. . . .
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Zenſizenſica.
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68719476736
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. . .
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Pro ſurdeſolida.
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68719476736
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. . .
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duæ figuræ. </
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">In Zenſizenſica tres. </
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">In ſurdeſolida
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<
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">Quo modo fi-
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guræ per pun-
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cta ſignentur.</
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quatuor. </
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xml:space
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">Et ſic deinceps in infinitum. </
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xml:space
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poſitis exemplis vides.</
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<
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<
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autem hæ ſignationes me-
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dijs proportionalibus. </
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s
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xml:space
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quadratos cadit vnus medius, ideo in extractio-
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ne ra dicis quadratę omittitur ſemper vnafigu-
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ra: </
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<
s
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xml:space
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">Inter duos verò Cubos cadunt duo medij,
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idcirco omittuntur ſemper duæ figuræ, & </
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cæteris.</
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<
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<
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qualibet autem ſpecie radicis extrahẽ-
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dę inſeruiunt quidam numeri peculiares: </
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<
s
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">qui per
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ſequentem tabulam inueniuntur, quæ hoc mo-
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dò conſtruitur. </
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<
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xml:space
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naturalẽ numerorũ. </
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s
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xml:space
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">Ex hac colũna naſcit ſecũ-
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da: </
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<
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<
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">& </
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<
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do. </
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<
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<
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">cellulis primæ colũnæ, repetit
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numerus tertiæ cellulæ in ſecunda columna. </
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<
s
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inde ex additione duorum numerorum, id eſt, ex
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tertio primæ columnæ, & </
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<
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xml:id
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cundæ columnæ. </
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<
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xml:space
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eius collaterali conficitur tertius ſecundæ columnæ: </
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<
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ſecundæ columnę, & </
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<
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