Clavius, Christoph
,
Geometria practica
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LIBER TERTIVS.
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Horizonti æquidiſtans. </
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E, (ſi pendulum adhibeatur, cõſtituendus etiam erit oculus in E.) </
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<
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ptra verſus cacumen A; </
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<
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abſciſſaminueniatur angulus AEK, vt in
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problemate 1. </
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<
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alia ſtatio ſuperior in F, in haſta, ductaq;
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xml:space
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">per cogitationẽ recta F I, ad altitudinem
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">In figura duc
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lineam ex F.
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ad A.</
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perpendiculari, dirigatur rurſus dioptra
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verſus A, atque eo dem modo angulus e-
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ruatur AFI, Et quia angulus AFG, duo- bus angulis FEA, FAE, æqualis eſt, ſi au-
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<
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xml:space
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">32. primi.</
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feratur AEF, complementum prioris an-
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guli AEK, in ſtatione inferiori E, inuenti,
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ex A F G, complemento poſterioris an-
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guli in ſuperiori ſtatione F, deprehenſi,
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reliquus fiet angulus E A F, cognitus.
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<
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">Quoniam igitur in trangulo A E F, duo
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anguli A, E, cogniti ſunt, vna cum latere
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E F, hoc eſt, cum differentia ſtationum, nota fientreliqua latera AE, AF.</
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rectil.</
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hæc erigatur alius baculus D H, ad Horizontem rectus, ſumptaq;
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<
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">menſoris ſtatura ipſi C E, æquali, & </
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">ducta recta HL, ad altitu dinem perpendicu-
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lari, applicetur ad H, quadratum, ac dioptra in punctum E, dirigatur, rurſumque
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per problema 1. </
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<
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">ex vmbra abſciſſa angulus eliciatur EHL, acradius viſualis HE,
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altitudini occurrere concipiatur in M, qui ipſi B C D, lateri montis parallelus erit. </
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<
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">Concipienda etenim ſunt tria puncta B, C, D, in vna recta linea iacere, ac ſi
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">33. primi.</
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D C, producta ad baſem turris pertineret. </
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<
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M E K, internus externo æqualis eſt, ſi E H L, cognitus hoc eſt M E K,
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ex angulo A E N, in priori ſtatione E, obſeruato, detrahatur, notus relin-
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quetur angulus AEM: </
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">angulus EAM, cum complementum ſit an-
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guli AEN, in priori ſtatione E, obſeruati, cognitus. </
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rum rectorum cognitus erit: </
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<
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">quiquidem etiam relinquitur, ſi N M H, comple-
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mentum anguli M H L, in ſtatione poſtrema H, inuenti ex duobus rectis detra-
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hatur. </
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tere A E, quod paulo ante inuenimus, cognoſcentur quoque reliqua duo
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rectil.</
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tera ME, AM: </
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inuentæ addatur menſoris ſtatura MB, tota turris altitudo A B, cognita erit.</
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autem eſt magnopere, vt tria puncta B, C, D, in vna linea re-
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ctaiaceant, id quod in problemate 22. </
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ſi baſis altitudinis ex latere montis videri poſsit, nullo ferme la-
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bore problema per vnicam ſtationem efficiemus. </
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<
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dratum, ita vt centrum dioptræ ſit ſuperius, & </
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<
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dirigenda erit dioptra verſus idem punctum B. </
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Vt vmbra verſa \\ abſciſſa # Ad lat{us} quadra- \\ ti: # Ita lat{us} qua- \\ drati # a
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daliud,
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inuenietur diſtantia DB, in partibus lateris quadrati, vt liquido cõſtat ex ijs, quæ
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in problem. </
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