Clavius, Christoph
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Geometria practica
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LIBER TERTIVS.
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<
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in ſcholio problematis 7. </
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<
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diſtantiam A F, metiri licebit per vnicam ſtationem.</
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<
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">DISTANTIAM eandem per duas ſtationes in aliqua altitudine ere-
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cta factas, ope quadrati perſcrutari.</
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in plano commode fieri nequeunt duæ ſtationes, erigatu@
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haſta aliqua K b, in qua fiant duæ ſtationes oculi menſoris in A, a: </
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<
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xml:space
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">Vel in dua-
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bus feneſtris alicuius turris, quarum vna ſuperſtet alteri ad perpendiculum: </
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ſcindatur que primum latus vmbræ verſæ in vtraque ſtatione in E, H, Erit que in-
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ferioris ſtationis vmbra verſa D E, maior, quam vmbra verſa d H, ſtationis ſu-
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perioris, quod angulus A, maior ſit angulus A, maior ſit angulo a; </
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<
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A G F, minor ſit, quama G M; </
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li F, M, recti. </
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">Sumatur D I, ipſi d H,
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æqualis; </
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<
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"> Et quoniam eſt, vt A D, ad D E, ita A F, ad F G: </
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<
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vt A D, ad A F, ita D E, ad F G. </
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que ratione erit, vt ad@ ad a M, ita d H, ad
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M G. </
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A D, ad A F, quę a d, ad a M, propter ę-
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qualitatem linearum AD, a d, & </
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</
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Erit vt D E, tota ad totam FG, ita
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hoceſt DI, ablata ad ablatam MG. </
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<
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"> Igi- turerit quoque reliqua I E, ad reliquam F M, hoc eſt, ad reliquam A a, vt tota
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D E, ad totam F G, hoc eſt, vt A D, ad A F; </
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<
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xml:space
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">cum oſtenſum ſit eſſe A D, ad A F, vt
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DE, ad FG. </
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Vt IE, differentia vm- \\ brarum verſarum # ad A a, differen- \\ tiam ſtationum, # Ita AD, lat{us} \\ quadrati # ad A F, @diſtan- \\ tiam,
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<
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">manifeſta colligetur diſtantia AF, in partibus diffe-
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rentię ſtationum Aa.</
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<
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in vtraque ſtatione latus vmbrę rectę in-
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terſecetur in E, H, reducenda eſt vtraque vmbra re-
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cta B@ E, b H, ad verſam, per ea, quę tradita ſunt ad
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initium huius libri in conſtructi@ne quadrati
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Numero 7. </
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merum lateris quadrati per vtramque vmbram
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rectam abſciſſam ſigillatim. </
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cantur latera D C, d c, vmbrę verſę vſque ad
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radios A G, a G, ad puncta I, K, erit iterum,
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vt demonſtrauimus Numero 1. </
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vmbrarum verſarum ad A a, differentiam </
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