Stevin, Simon - Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis

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1001003 L*IBER* S*TATICÆ*

Præterea per 24 prop. 1 lib. & per ea quæ de navi paulo ante diſſeruimus pater,
tum equorũ potĕtiam eſſe maximam cum lora currus parallela erunt viæ æqua-
bili videlicet & duræ, nam in aſperis, inæqualibus, & arenoſis ſatius eſt lora po-
nè paulò inferiora eſſe quam ante. Quod Batavicis ciſiariis experientia eruditis
uſitatũ eſt, qui currubus ita aptatis lora cum per littus maris aut per alias planas
duraſq́ue vias vehuntur ponealtius firmant quàm in aſperis arenoſisq́ue, hic
enim quamvis horizonti parallela ſint ſalebris tamen non ſunt, quod in pertra-
hendo ponderoſius & difficilius eſt quam ſi poſtilenæ pone humiliores fo-
rent quiatum ad ſalebrarum paralleliſmum propius accedunt. In locis areno-
ſis ubi currus altius arenæ inſidet, etiam rotæ deſcendunt, ac propterea quoq;
ſilora horizonti parallela ſint plus negotii faceſſunt quam ſi pone depreſſiora
fuerint.

NOTA.

Objiciat autem quis primò, Cur dixerimus H K eſſe ad H I, ſicut pondus libræ
obliquæ ſi quâ hîc eſſet (cujus vicem equus ſubit) ad currus gravitatem; Fortean ratus
im proprie uſurpari gravitatem currus pro pondere rectâ attollĕte gravitatem currus.

Secundò cur funis E F nul-

146[Figure 146] lam ſitus differentiam annota-
verim, qui per currus gravitatis
centrum trajectus equum fortè
leviore aut ponderoſiore gra-
vitate afficiat, quam ſi vel ſupra
id vel infra meet. His igitur ra-
tionibus quî commodè occurri
poſſit, & ſimul {νρ}αμμιχῶς evin-
ci proportionem expoſitam eſſe
legittimam, A B C currus eſto
è mathematicis lineis efforma-
tus & quaſi μουό{νρ}αμμ& , rotæ
D, E, via cui inſiſtit F G, de-
nique funis ductarius libræ obliquè attollentis poſt paulò exprim endæ ſit A H.

HVic currui μουο{νρ}ἀμμω& imponito priſima I K, quale in ſubjecta figurâ vi-
dere licet, ut A H continuatus, occurrat priſmatis centro L: Eſto item

147[Figure 147] abliquè attollens pondus M priſmati ſitu æquilibre; centroq́ue L

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