Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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catur in numerũ partium ipſius AD, ipſi AE, æqualium, nimirum in 4.) </
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inde ſi AB, diuiſa eſſe intelligatur in 3. </
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<
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36. </
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ſtatuatur inter partes 36. </
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vna parte minus) tranferatur ex D, ad I, erit AI, tertia pars ipſius AB, hoc eſt,
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pars trigeſima ſexta totius AD. </
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partes totius AD, erit AG, ipſius AB, pars tertia. </
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<
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hoc veteres Geometras diu, multumque exagitauit, neque
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ab vllo ad hanc vſque diem Geometrice eſt ſolutum. </
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inter alios illud ſoluere conatus eſt per deſcriptionem hyperboles. </
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abſoluemus per lineam Conchoideos, quam lib. </
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mede deſcripſimus, hoc modo. </
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tem ex quouis puncto A, ad BC, perpendiculari AD, fumatur ipſius AB, dupla
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DC; </
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">Et polo B, interuallo autem DC, deſcribatur linea Conchoideos CE, ſe-
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cans rectam AE, ipſi BC, ductam parallelam in E, ducatur que recta BE. </
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co angulum CBE, eſſe tertiam partem dati anguli ABC; </
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duplum eſſe anguli CBE, adeò vt diuiſo angulo ABE, bifariam, totus angulus
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ABC, ſectus ſit in tres partes æquales. </
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riptione Con-
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choideos, recta GE, ipſi DC, æqualis eſt; </
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bifariamin F, erit vtra que ſemiſsis ipſi AB, æqualis. </
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tertii.</
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circa GE, deſcriptus tranſit per angulum rectum GAE, erit quoque ducta FA,
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vtrique ſemiſsi FE, FG, ideo que & </
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FEA, quam AFB, ABF, æquales erunt. </
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ternis FAE, FEA. </
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dem FEA, hoc eſt, alterni CBE, duplus erit.</
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angulus datus rectus eſt, diuidetur in tres æquales angulos, vt in ſcholio
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propoſ. </
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<
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verò eſt obtuſus, ſecabimus eum bifariam, & </
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partes æquales, vt docuimus hoc loco. </
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ficient propoſiti anguli obtuſi tertiam partem, vt perſpicuum eſt.</
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