Clavius, Christoph
,
Geometria practica
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LIBER QVARTVS.
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cta Eb, paulo maior quam 1172 {1/8}. </
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">quip pè cum huius radicis quadratum ſit tan-
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tum 1373877 {1/64}. </
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<
s
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"> Habebit ergo E b, ad b c, maiorem proportionem, quam
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{1/8}. </
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<
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<
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item angulo b E c, bifariam per rectam E a; </
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<
s
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"> erunt b E, E c, ſimul
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">3. ſexti. &
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componendo,
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permutando-
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que.</
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b c, vt E c, ad c a. </
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<
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xml:space
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">Quia verò b E, maior eſt, quam 1172 {1/8}. </
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<
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">& </
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<
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">E c, maior, quã
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1162 {1/8}. </
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<
s
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">erunt b E, E c, ſimul maiores, quam 2334 {2/8}. </
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<
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">vel 2334 {1/4}. </
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<
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c b, poſita ſit 153. </
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<
s
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xml:space
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">habebunt b E, E c, ſimul ad c b, maiorem proportionem, quam 2334 {1/4}. </
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<
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<
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">ideoque & </
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<
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">E c, ad c a, proportionem habebit maiorem,
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<
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">8. quinti.</
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quam 2334 {1/4}. </
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<
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<
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">ac proinde, ſi c a, ponatur 153. </
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<
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"> erit E c, maior,
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2334 {1/4}. </
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<
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">Igitur quadratum ipſius E c, maius erit, quam 5448723 {1/16}. </
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<
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">cui ſi ad
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">47. primi.</
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datur quadratum 23409. </
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<
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xml:space
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">ipſius c a, erit quadratum ipſius E a, quod quadra- tis rectarum E c, ca, æquale eſt, maius quam 5472132 {1/16}. </
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<
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xml:space
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">eiuſqueradix maior,
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<
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">8. quinti.</
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quam 2339 {1/4}. </
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<
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">cum huius radicis quadratum ſit tantum 5472090 {9/16}. </
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<
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"> Ergo E a, ad a c, maiorem proportionem habebit, quam 2339 {1/4}. </
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<
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</
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xml:space
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">3. ſexti. &
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componendo,
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permutando-
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que.</
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</
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<
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<
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denique angulo quoque a E c, bifariam per rectam E o, erunt a E, E c, ſimul ad a c, vt E c, ad c o. </
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<
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">Quia verò a E, maior eſt, quam 2339 {1/4}. </
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<
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<
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E c, maior quam 2334 {1/4}. </
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<
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">erunta E, E c, ſimul maiores, quam 4673 {1/2}. </
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<
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go c a, poſita ſit 153. </
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<
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"> habebunt a E, E c, ſimul ad c a, hoc eſt, E c, ad c o,
<
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">8. quinti.</
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iorem proportionem, quam 4673 {1/2}. </
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<
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">ac propterea ſi ponatur c o, 153.
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</
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">10. quinti.</
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erit E c, maior quam 4673 {1/2}.</
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<
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igitur angulus e E c, tertia pars eſt recti, erit eius ſemiſsis d E c, ſexta
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pars recti, & </
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<
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<
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<
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">huius ſemiſsis a E c, {1/24}. </
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<
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<
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">33 ſexti.</
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que huius ſemiſsis o E c, {1/48}. </
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<
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<
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<
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<
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">id circo erit c o, {1/192}. </
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">to tius circumferentiæ. </
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<
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<
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">33. ſexti.</
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cEi, angulo cEo, æqualis; </
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<
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o i, {1/98}. </
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<
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">totius circũferentiæ. </
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