Clavius, Christoph
,
Geometria practica
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LIBER QVARTVS.
"/>
@ {1/2
<
unsure
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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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<
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xml:space
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<
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<
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xml:space
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">ac proinde recta BL, latus erit Polygoni cir-
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culo inſcripti, quod 96. </
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<
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<
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xml:space
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poſita eſt 66. </
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<
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<
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<
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xlink:label
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note-221-01
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xlink:href
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note-221-01a
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xml:space
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">8. quinti.</
note
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ambitus Polygoniad diametrum AB, maiorem proportionem habebit, quam
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6336. </
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<
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<
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xml:space
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">cum diameter A B, oſtenſa ſit minor, quam 2017 {1/4}. </
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<
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xml:space
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<
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xlink:label
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xml:space
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">8. quinti.</
note
>
proportio 6336. </
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<
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<
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xml:space
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">maior, quam tripla ſuperdecupartiens ſeptuageſi-
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mas primas, quod proportio 6336. </
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<
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<
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xml:space
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">(qui numerus maior eſt,
<
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quam 2107 {1/4}) ſit tripla ſuperdecupartiens ſeptuageſimas primas. </
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<
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xml:space
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">Ergo ambi-
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tus Polygoni maiorem habet proportionem ad diametrum, quam 3 {10/71}.
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</
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<
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xml:space
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">Cumigitur circumferentia circuliſit maior ambitu Polygoni, habebit
<
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">8. quinti.</
note
>
ferentia ad diametrum multo maiorem proportionem, quam 3 {10/71}. </
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<
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de circumferentia diametrum continebit ter, & </
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<
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xml:space
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">inſuper partem maiorem,
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quam {10/75}. </
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">Nam ſi contineret {10/71}. </
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<
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xml:space
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">haberet circumferentia ad diametrum propor-
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tionem 3 {10/71}. </
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<
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xml:space
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">Si autem contineret maiorem partem, quam {10/71}. </
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<
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xml:space
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">haberet propor-
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tionemminorem, quam 3 {10/71}. </
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<
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xml:space
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">cumtamen maiorem habere demonſtratum ſit.
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</
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<
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">Et quoniam {1/8}. </
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<
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">minor eſt, quam {10/71}. </
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<
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xml:space
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">liquet ex hac ſecunda parte propoſitionis,
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circumferentiam continere diametrum ter, & </
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<
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<
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<
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Cum ergo ex prima parte conſtet, circumferentiam continere diametrum ter,
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& </
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<
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<
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rentiæ ad diametrum conſiſtere inter triplam ſeſquiſeptimam, & </
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octauam.</
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<
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ſi diameter per 3 {1/7}. </
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<
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">multiplicetur, gignetur numerus maior, quam
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circumferentia: </
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<
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">pro creabitur minor numerus,
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quam circumferentia. </
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<
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xml:space
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">Econtrario, ſi circumferentia diuidatur per 3 {1/7}. </
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<
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cetur numerus minor, quam diameter: </
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<
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">ſi vero diuidatur per 3 {10/71}. </
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<
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rus maior, quam diameter.</
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">PROPOSITIO III.</
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quam ad 11. </
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<
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circulus A B C D, & </
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<
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<
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number
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221-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/221-01
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ptum E G H I. </
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tum eſſe, vt 11. </
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<
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ducto enim latere E G, ſumatur E K, ip-
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ſius E G, tripla, & </
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<
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metri B D, vel lateris E G; </
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