Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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<
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xml:space
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<
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Plano Horizontis AB, iaceat interuallum C D, in tranſuerſum, pesau-
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tem menſoris in E, ita vt longitudo C D, in vtramque partem producta per E,
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non tranſeat. </
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<
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xml:space
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ea, per problema 11. </
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<
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">Itaque vt tranſuerſum interuallum C D, cognoſcatur, in-
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quirenda erit primum vtriuſque extremi puncti C,
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D, diſtantia à pede menſoris E, vt Num. </
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<
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matis 15. </
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<
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de angulus C E D, explorandus, quod fiet, ſi vnum
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latus quadrati rectæ E C, congruat, & </
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<
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E D. </
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<
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">Nam vmbra abſciſſa inter latus illud, ac dio-
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ptram oſtendet quantitatem anguli CED, vt in pro-
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blemate 1. </
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<
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<
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">qui quidem acutus erit, ſi alterũ latus vltra rectam E D, exi-
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ſtet: </
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<
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<
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">obtuſus denique, ſi citra re-
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ctam E D, cadet; </
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<
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">quem cognoſcemus, ſi recto angulo adiiciemus reliquum
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acutum, qui deprehendetur, vt in pręcedenti problemate docuimus. </
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ergo triangulum habemus C E D, cuius duo latera E C, E D, cognita ſunt, vna
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cum angulo comprehenſo E: </
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<
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"> cognitum quo que erit tertium latus C D,
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rectil.</
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partibus rectarum E C, ED.</
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recta C D, cognita erit, ſi in rectis E C, E D, ſeorſum deſcriptis cum
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angulo E, inuento ſumantur partes ipſis EC, ED, proportionales, &</
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<
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">DISTANTIAM alicuius ſigni in Horizonte poſiti à ſummitate turris,
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vel muri alicuius, licet ad ipſum ſignum acceſſus non pateat, per qua-
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dratum eruere, vbicunque menſor exiſtat.</
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Horizontis plano punctum A, diſtet à ſummitate D, alicuius altitudi-
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nis per rectam A D, quam ſic venabimur. </
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nimirum in B, indagentur per problema 15. </
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punctorum A, D, ab oculo menſoris B. </
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lus exploretur A B D, vt in problemate 16. </
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<
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</
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tera nota ſunt BA, BD, vna cum angulo B. </
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<
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rectil,</
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tium quo que latus AD, cognitum erit.</
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etiam inuenietur, vt Num. </
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<
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<
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B D, cum angulo B, ſeorſum ductis ſumentur partes ipſis B A, B D, proportio-
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nales, &</
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<
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m, cuius baſis non videatur; </
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quam per nullum ſpatium ſecundum rectam lineam accedere poſſit
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menſor, autrecedere, vt duæſtationes fieri poſſint, ſed ſolum ad </
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