## Full text: Volumen primum. Opera mechanica (1)

HOROLOG. OSCILLATOR. tis figuræ A B C; erit ſumma quadratorum à di-
ſtantiis particularum, in quas figura diviſa intel-
ligitur, ab recta E D, æqualis rectangulo ſoli
A G H, multiplici ſecundum ipſarum particula-
rum numerum.

### 100.1.

TAB. XX.
Fig. 3.
Figure 1. Pag. 136.
TAB. XIX.
Fig. 1.
D C X B Y E R I Q L S N K P A T
F G Y M H O
Figure 2. Fig. 2.
X C D A T E R I Q L S N K P B Y
Figure 3. Fig. 3.
F G K C D I E M A B D
Figure 4. Fig. 4.
D K E F L B A H G C E
Figure 5. Fig. 5.
D C K L F E A G H D B
Figure 6. Fig. 6.
C D K F L E H G A D B
De centro
OSCILLA-
TIONIS .

Hoc enim manifeſtum eſt, quum nullum tunc ſit quadra-
tum E G.

## 101.PROPOSITIO XI.

POſitis rurſus cæteris ut in præcedentium penul-
tima; ſi D E ſit axis figuræ planæ A B C, in
duas æquales ſimilesque portiones eam dividens, ſit-
que inſuper V G diſtantia centri gravitatis dimi-
diæ figuræ D A D ab recta E D, cunei vero, ſu-
per ipſam abſciſſi per ipſam E D, ſubcentrica G X; erit rectangulum X G V æquale rectangulo A G H.

### 101.1.

TAB. XX.
Fig. 4.

Eſt enim rectangulum X G V, multiplex ſecundum nu-
merum particularum figuræ D A D, æquale quadratis omni-
bus perpendicularium à particulis ejusdem figuræ dimidiæ in
rectam E D cadentium . Ac proinde idem rectangulum X G V, multiplex ſecundum numerum particularum totius
figuræ A B C, æquale erit quadratis perpendicularium, ab
omnibus particulis figuræ hujus in rectam E D demiſſarum; hoc eſt, rectangulo A G H multiplici ſecundum eundem
particularum numerum, ut conſtat ex propoſ. præcedenti. Unde ſequitur rectangula X G V, A G H inter ſe æqualia
eſſe. quod erat demonſtrandum.

Prop. @.
huj.

## 102.PROPOSITIO XII.

DAtis in plano punctis quotlibet; ſi ex centro
gravitatis eorum circulus quilibet deſcribatur;

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