Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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vmbram verſam D I. </
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<
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<
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<
s
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">vel potius per ſcholium problem.
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<
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<
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154-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/154-01
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ctum H, non appareat: </
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<
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quiratur, quot partes milleſimæ lateris A
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D, in ſegmento dioptræ A I, comprehen-
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dantur. </
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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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hoc modo. </
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<
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A D, D I, in rectangulo triangulo ADI, da-
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ta ſunt, ignorarinon poterit baſis in
<
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tibus laterum. </
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<
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<
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<
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xml:space
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">ex vmbra D I, notus fit angulus D A I,
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cognoſcetur rurſus baſis A I. </
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<
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xml:space
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">Tertio quia quadrata AD, DI, quadrato AI,
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ctil.</
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qualia ſunt; </
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<
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">ſi ex aggregato eorũ radix quadrata eruatur, exhibebit earadix ba-
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ſem A I, notam. </
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Vt lat{us} \\ A D, 1000 # ad portionem dioptræ \\ A I, nuper inuentam: # ita diſtantia A H, \\ nuper etiam inuenta # ad A F,
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cognita erit diſtantia A F, quæſita in partibus inuentæ diſtantiæ A H.</
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autem E F, à pede ad datũ punctum F, ita reperiemus. </
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<
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niam in triangulo AEF, duo latera AF, AE, cognita ſunt, cum illud proxime ſit
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inuentum, & </
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<
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">hoc ſtaturæ menſoris æquale ſit; </
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<
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<
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tum EAF, vt pote conflatum ex recto EAH, & </
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<
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tus eſt ex vmbra verſa D I: </
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<
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"> notum efficietur latus quo que E F, quod
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ctil.</
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tur.</
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<
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ſi vmbra recta ſecetur in L, vt in altero quadrato, vbiiterum mẽ-
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ſoris ſtatura eſt A K: </
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<
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ris quadrati ex angulo BAL, &</
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<
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<
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<
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<
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<
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ex ſcholio probl. </
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<
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<
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Vt B L, vm- \\ brarecta # ad L A, portionem \\ dioptræ inuentam: # Ita diſtantia A H, \\ inuenta # ad A F,
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pro dibit rurſus nota diſtantia A F, in partibus diſtantiæ inuentæ A H.</
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<
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<
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aliter procedes ſi dioptra per C, tranſeat: </
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<
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A D, latus ad partem dioptræ A C, inuentam, vt prius, ita diſtantia inuenta A H,
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ad diſtantiam quæſitam A F.</
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<
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<
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autem K F, à pede K, vſque ad F, inuenietur, vt prius,
<
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ctil.</
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duobus lateribus notis A F, A K, & </
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<
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<
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mirum conflatur exrecto A, & </
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<
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problema 1. </
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<
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<
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<
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ſit iam punctum F, oculo A, depreſsius, & </
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</
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<
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">Concipiatur ex F, duci F K, Horizonti parallela, vel ad A E, perpendicularis. </
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Item per F, recta G H, ipſi AE, parallela. </
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<
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">Accommodato autem quadrato, vt la-
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tus AD, rectum ſit ad Horizontem, & </
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<
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">D C, Horizonti æquidiſtans, cogitetur
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DC, latus productum vſque ad H, punctum perpendicularis G H. </
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<
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que reperiatur altitudo A K, per problema 8. </
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<
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">vel 9. </
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<
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recta D H, vel in haſta D A, protracta, vel certe perſcholium problem. </
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<
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Quamuis enim ſtatura menſoris AE, cognita ſit, ignoratur tamẽ, quanta ſit </
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