Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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diſtantia ſiue longitu-
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do inueſtiganda A B, in
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plano C B, erectaque ſit in
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extremo B, altitudo quæ-
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piam perpendicularis B G,
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licet extremum B, non ap-
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pareat. </
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<
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ſit D A, ab oculo ad pedes
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vſque. </
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<
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tura mutetur, ſed eadem
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ſemper maneat, recte fe-
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ceris, ſi pro ea ſtatura ba-
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culum eidem æqualem ac-
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cipias, ad cuius extremum
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oculum applices. </
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<
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">Ducta autem cogitatione per D, ipſi C B, parallela E F, fiat
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prima ſtatio in D, Secunda verò in E, puncto remotiore: </
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<
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">ſitquerecta D E, quæ
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ſtationum.</
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differentia ſtationum dicitur, nota ſecundum aliquam menſuram vulgarem.
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<
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">Deinde dirigatur latus quadrantis H K, in quo ſunt pinnacidia, verſus faſti-
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gium G, ita vt oculus in D, poſitus per vtriuſque pinnacidij foramina, fafti-
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gium G videat, libere pendente perpendiculo H I: </
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<
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">diligenterque per ea,
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quæ cap. </
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<
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">tradita ſunt, notetur in gradibus, ac minu-
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tis angulus G D F, quem arcus I L, in Quadrante manifeſtabit, complemen-
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tum videlicet arcus I K, Cum enim filum perpendiculi H I, ſit ad D F, rectum,
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erit angulus G D F, complementum anguli D H I, ęqualis nimirum angulo
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I H L, qui eiuſdem anguli D H I, complementum etiam eſt. </
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<
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gulum G D F, angulum obſeruationis dicemus. </
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ſeruationis.</
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ſecunda ſtatione angulus G E F, per radium viſualem ab oculo, & </
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<
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cidia Quadrantis ad faſtigium G, directum. </
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<
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bus, erigantur perpendiculares M N, N O, (in figura conincidit M H, cum fi-
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lo perpendiculi; </
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">quod nihil refert.) </
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ti, erunt M H, N O, Tangentes angulorum obſeruationum E, & </
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quoque D Q, ipſi E G, parallela ſecante N O, in P, erit angulus N D P,
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gulo E, æqualis. </
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lis M, E, trianguli M E H, ſint æquales, (eſt enim & </
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lis) lateraque D N, E M, quibus adiacent, æqualia; </
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æqualia: </
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">ac proinde O P, differentia erit inter Tangentes angulorum obſer-
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uationum. </
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lib. 6.</
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ad Q F, ita E D, ad D F; </
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obſeruationum reſpondentium ad P N, ſiue ad H M, Tangentem remotioris
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ſtationis, ita E D, differentia ſtationum ad D F, diſtantiam quæſitam. </
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cir ca ſi fiat,</
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Vt O P, differentia \\ inter Tangent{es} an- \\ gulorum obſeruatio- \\ num. # ad P N, vel \\ H M, Tan- \\ gentem mi- \\ norem: # Ita E D, differentia \\ ſtationum nota in \\ menſura aliqua vul- \\ gari # ad aliud; \\ hoc eſt ad \\ D F,
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uentio per
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tangentes.</
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