Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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A*DDITAMENTI* S*TATICÆ* P*ARS QVARTA*
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<
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xml:space
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">1 PROPOSITIO.</
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xml:space
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">Scaporum inverſuris aſperitatem neque augeri neque
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leniri.</
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<
s
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xml:space
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">I*LLVSTRISSIMVS* P*RINCEPS* haud ignarus hos, qui ſcaporum in-
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verſuras, tribus punctis R, H, S eodem loco manentibus, frenorum aſperita-
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ti lenitudinive quidquam momenti afferre credunt, falſos opinionis & </
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<
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nos eſſe. </
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<
s
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xml:space
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">eoſdem quoque his rationibus ſolet refellere. </
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<
s
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xml:space
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">Affigas enim, ajebat,
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ſcapo directo, cujus figuram ſupra expreſſimus, laminam aliquam ferream,
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quæ ſcapum tanquam majuſculis inverſuris deformatum exhibeat. </
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<
s
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xml:space
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">jam ſi quis
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eſt ab hac mente, ut inde aſperitatem augeri ſuſpicetur: </
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<
s
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">id perinde foret ac ſi
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credat inductam illam lamellam occulta quadam vi (magnetis inſtar) vel preſ-
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ſim vel punctim aliquid agere. </
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<
s
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xml:space
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">porrò ſi qui pertinacius affirmĕt id re ipſa uſuq́;
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</
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<
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xml:space
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">comprobari, iſtos negando facile eſt refutare: </
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<
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xml:space
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">quid enim habent dicere@ Cæ-
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terum ſi equiſones, χαλινέρ{γα}{πο
<
unsure
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}, quique ὶ{πω}ικ{ὴν} ſolo uſu tractant, tritum il-
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lud, tanquam ex Apollinis tripode nobis occinant. </
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<
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xml:space
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">Luam quiſque novit ar-
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tem, in hac fidem ei habendam. </
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<
s
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xml:space
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">illi ſciant hoc in ſe ipſos quadrare maximè. </
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<
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nam de ſtaticis effectionibus ſentĕtiam ferunt, quarum tamen ſint ignariſſimi. </
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ex hac enim facile docerentur mutationem omnem & </
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<
s
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xml:space
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">varietatem exiſtere ab
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tribus punctis R H S. </
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<
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">quibus eodem loco manentibus, & </
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<
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">propter eas lineis
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imaginariis R H, H S ſede ſua haud emotis, anguloq́ue R H S invariato, ea-
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dem & </
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<
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xml:space
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">par ſemper eritab ſcapo aſperitas. </
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<
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xml:space
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">niſi fortè quid momenti afferat la-
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mellæ affixæ ponduſculum. </
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<
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">& </
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<
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hoc urgeant, eares forte non magis eorum ſententiæ patrocinabitur, quam
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adverſabitur.</
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<
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">Præterea animadverſione dignum eſt, non latus V W in ſcapi capitello, ſed
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rectam imaginariam H S ad generalis cujuſdam theorematis ordinationem,
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unde inflexurarum modus capiatur, aliquid momenti afferre. </
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<
s
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xml:space
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ocelli diverſa, diverſos quoque effectus inducit.</
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<
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">2 PROPOSITIO.</
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<
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<
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<
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xml:space
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">prima quod adductis tantundem habenis ſcapi
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breviores plus commoveantur quam longiores. </
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te demonſtrabo. </
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<
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">A B ſcapus longior, A C brevior, quo-
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rum ſit idem capitellum A D, ejuſque ocelli contactus D:
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<
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fig-527.01.186-01
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number
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238
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527.01.186-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.186-01
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adductis habenis in ſcapo breviore aſſurgat annelli conta-
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ctus in E per peripheriam C E, & </
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ſcendat in F per peripheriam D F. </
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<
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">Conſimiliter in ſcapo
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longiore annelli contactus adducatur ad G, ut peripheriæ
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C E, B G æquales ſint, hîc D deſcendet ſolummodo in H
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per peripheriam D H. </
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<
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">ſed D F major eſt quàm D H, ſunt
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enim inter ſe rationeſcaporum inverſa, id eſt, quemadmo-
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dum longior ſcapus A B ad breviorem A C. </
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<
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ocellis affixa minoribus ſcapis moventur validius. </
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<
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quantum pſellia moventur magis, hoc mandibula à lupo,
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mentumq́ue à pſellio preſsius premitur conſtringiturq́ue. </
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<
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ſcapi breviores longioribus ſint aſperiores.</
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