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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<
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xml:space
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">Si ſacoma quaternûm globorum D, R, Q,-P, non æquaretur antiſacoma-
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ti binorum, E F. </
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<
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">alterutri graviores erunt: </
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<
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xml:space
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iſti D, R, Q, P; </
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<
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xml:space
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">Atqui O, N, M, L, æquiponderant quatuor G, H, I, K. </
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<
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igitur octo globorum D, R, Q, P, O, N, M, L, ponderoſius eſt latere ſex glo-
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borum E, F, G, H, I, K. </
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<
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">Quia vero gravius præpõderat leviori, octo deorſum
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volventur, ſex vero reliqui ſurſum. </
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<
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xml:space
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">Deſcenderit D, in O, & </
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<
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loco P, Q, R, D, denique I, K, loco E, F. </
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<
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xml:space
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">Atqui hoc ſi ſit, globorum ſeries
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ſive corona eundem ſitum cum priore habebit, eadem q́ue de cauſa octo glo-
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bi ſiniſtri ponderoſiores erunt ſex dextris, ideoq́ue rurſus octo illi deſcen-
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dent, ſex iſti adſcendent, ipſiq́ue globi ex ſeſe continuum & </
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<
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">æternum motum
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efficient, quod eſt falſum. </
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<
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">Pars igitur coronæ D, R, Q, P, O, N, M, L, parti
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E, F, G, H, I, K, ſitu æquilibris eſt. </
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<
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">Si verò ab æquilibribus æquilibria tollantur
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reliqua manent æquilibria. </
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<
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">illinc igitur O, N, M, L, hinc vero G, H, I, K, qui
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æquantur O, N, M, L ſublatis, reliqui D, R, P, Q, reliquis E, F ſitu æquilibres
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erunt. </
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<
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">Atqui duobus iſtis quatuor illis æquilibribus, E duplo ponderoſior erit
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ſitu, quam D. </
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">Quemadmodum igitur latus B A 2 ad latus B C 1, ita ſaco-
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ma globi E ad antiſacoma globi D. </
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planum horizonti ſit perpendiculare &</
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">Si A B C triangulum ſit, ut ante, ejusq́ue latus A B duplum lateris B C,
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inq́ue A B jaceat globus D, in B C verò globus E, ſubduplus ponderi D, & </
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in F fixus ſit punctus quâ linea ſive funiculus DFE
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(è centro ſcilicet D, per F, in centrum E uſque)
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motus radit F fixum punctum, ut D F ab A B,
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& </
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P, Q, R, D, ſitu æquilibres fuerunt duobus E, F,
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etiam globus D ſitu æquilibris erit globo E. </
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enim P, Q, R, D ad E, F: </
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admodum latus A B, ad B C: </
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">SI latus trianguli B C, cui A B duplum eſt, re-
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ctum ad A C collocetur, ut expreſſum hîcvi-
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des; </
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æquilibris erit, utenim A B ad B C: </
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ad globum E.</
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<
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ut linea D F, obliquè extollens, ad A B
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ſit parallela, & </
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tingĕti quidem figura, ſed eodem cum illo
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po dere, erit cum D ſitu æquilibre. </
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D ad pondus E.</
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