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

Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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1616*I* L*IBER* S*TATICÆ*

*Datvm. * ABCD columna eſto, partita, ut prius, pendeatq́ue Y 6 ℔ ex
X, Z vero 24 ℔ ex R. *QVAESITVM. * Anſa quærenda eſt.

PRAGMATIA.

Diametros pendula põderis ABCDY

21[Figure 21] eſt L V, ex 3 exemplo, ponderis autem
Z, R E, R V itaque jugum in duo ſe-
gmenta ſecandum, ut ratio illorum ſit 12
A B C D Y ad 24 Z. & à pendulâ dia-
metro quæ incidet in S, brevius ſegmen-
tum gravius pondus verſus ſit, eritq́; S G
quæſita anſa.

PRAGMATIA ALIVSMODI.

PEndula gravitatis diametros ponderis A B C D Z eſto Æ W ex 3 propo-
ſitione, ut S Æ valeat {2/3} S R, pendulaq́ue diametros Y, X N eſto, jugum
vero Æ X ita partitum ut ſegmentorum ratio ſit 30 ℔ A B C D Z ad 6 ℔ Y,
& illorum brevius ponderum gravius verſus ſità pendula diametro, quæ eſt S,
atque iſto pacto S G quæſita erit anſa.

PRAGMATIA ALIVSMODI.

PEndula gravitatis diametros Y Z (per primum exemplum) eſt Φ Δ, ut S Φ
ſit {1/5} S R, & columnæ diametros pendula T I, & T Φ jugum ita partitum,
ut ratio ſegmentorum ſit 30 ℔ Y cum Z, ad 6 ℔ columnæ, & S G hoc modo,
ut prius, erit anſa quæſita.

*DATVM. * A B C D columna eſto partita ut prius, & Y 6 ℔ ex X, Z vero
24 ℔ ex R pendeat, & Æ 12 ℔ è Q. *QVAESITVM. * Anſanobis quæ-
renda eſt.

PRAGMATIA.

Diametros pendula A B C D Y Z eſt S G, ex 4 exempliſententiâ, & Æ,
Q B, S Q eſt jugum in duo ſegmenta partiendum ut illorum ratio ſit, quæ eſt
36 ℔ columnæ cum Y & Z, ad 12 ℔ Æ minus ſegmentum pendulam diame-
trum verſus gravioris ſegmenti, quæ incidit in T, ut T I anſa ſit quæſita.

Si ex P præterea 24 ℔ eſſent ſuſpenſæ, S G eſſet anſa, & ita deinceps cum
quovis alio pondere, quod ex jugo ſuſpendi poteſt.

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