Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* S*TATICÆ ELEMENTIS*.
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u@@a D I cecidiſſet, hoc eſt, ut nunc citra: </
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<
s
xml:id
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xml:space
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">ita tunc ultra cecidiſſet, & </
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<
s
xml:id
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xml:space
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">præce-
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dens demonſtratio etiam iſtiſitui accommoda fuiſſet, hoc eſt, quemadmodum
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B A ad B N ita ſacoma lateris B A, ad antiſacoma lateris B N eſſet: </
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<
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xml:space
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">& </
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<
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xml:space
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admodum D L ad D O: </
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<
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xml:space
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">ita ſacoma lateris D L, ad antiſacoma lateris D O.
<
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</
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<
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">hoc eſt M ad P. </
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<
s
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xml:space
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">Vtiſta proportio non tantum in exemplis valeat, in quibus
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linea attollens, ut D I, perpendicularis eſt axi, ſed etiam in aliis cujuſmodi-
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cunque ſint anguli.</
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<
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<
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<
s
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xml:space
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">ISta etiam deglobo in lineâ, ut A B, jacente intelligi poſſunt, nam & </
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<
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xml:space
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">hic, ut
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L D ad D O: </
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<
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xml:space
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">ita M ad P (modo C L ad A B perpendicularis ſit, hoc eſt,
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patallela ad axem G H globi D) atqui pon-
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<
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xlink:href
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>
dus Mglobo D æquatur, ideo etiam ut L D
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ad D O: </
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<
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">ita pondus globi ad pondus P. </
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<
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rumenimvero, quia L D & </
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<
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">D O intra glo-
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biſoliditatem re ipſa delineari cõmodè non
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poſſunt, perpendiculari C E ductâ, extra
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globi ſolidum comprehĕdetur C E O trian-
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gulum L D O triangulo ſimile, cujus latera
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L D & </
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<
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<
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erunt. </
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<
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xml:space
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">Quemadmodum igitur L D ad D O:
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</
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<
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">ita C E ad E O, & </
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<
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">per conſequens ut C E ad E O: </
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<
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xml:space
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">itaglobi pondus ad P.</
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<
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</
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<
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xml:space
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">VT major claritudo hujus ſit, ſublatis aliis li-
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neis omnibus dicatur ut C E ad C O: </
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<
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pondus globi D ad pondus P.</
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</
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<
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xml:space
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">NEque illud de globis tantum verum eſt, ſed
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etiam de quibuſvis corporibus, puncta vel li-
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neas ſtringentibus, aut etiam per illa volutis, ut in-
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fra videre eſt. </
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<
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preſſius dicemus. </
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<
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dus corporis D, ad pondus P.</
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</
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<
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">Si recta A B horizonti eſt parallela, qua-
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lem figuram hic juxta poſitam videre eſt, rectas C E & </
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candem lineam coïre, ideoq́ue inter E & </
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rectæ C E ad rectam E O nullam rationĕ fore. </
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