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SALV. I will expreſs it better by drawing a Figure: therefore

I will ſuppoſe the line A B [in Fig. 3.] parallel to the Horizon,

and upon the point B, I will erect a perpendicular B C; and after

that I adde this ſlaunt line C A. Underſtanding now the line C

A to be an inclining plain exquiſitely poliſhed, and hard, upon

which deſcendeth a ball perfectly round and of very hard matter,

and ſuch another I ſuppoſe freely to deſcend by the perpendicular

C B: will you now confeſs that the impetus of that which de

ſcends by the plain C A, being arrived to the point A, may be

equal to the impetus acquired by the other in the point B, after

the deſcent by the perpendicular C B?

I will ſuppoſe the line A B [in Fig. 3.] parallel to the Horizon,

and upon the point B, I will erect a perpendicular B C; and after

that I adde this ſlaunt line C A. Underſtanding now the line C

A to be an inclining plain exquiſitely poliſhed, and hard, upon

which deſcendeth a ball perfectly round and of very hard matter,

and ſuch another I ſuppoſe freely to deſcend by the perpendicular

C B: will you now confeſs that the impetus of that which de

ſcends by the plain C A, being arrived to the point A, may be

equal to the impetus acquired by the other in the point B, after

the deſcent by the perpendicular C B?

The impetuoſity of

moveables equally

approaching to the

centre, are equal.

moveables equally

approaching to the

centre, are equal.

SAGR. I reſolutely believe ſo: for in effect they have both the

ſame proximity to the centre, and by that, which I have already

granted, their impetuoſities would be equally ſufficient to re-carry

them to the ſame height.

ſame proximity to the centre, and by that, which I have already

granted, their impetuoſities would be equally ſufficient to re-carry

them to the ſame height.

SALV. But on the inclining plane C A it would deſcend, but

with a gentler motion than by the perpendicular C B?

with a gentler motion than by the perpendicular C B?

SAGR. I may confidently anſwer in the affirmative, it ſeem

ing to me neceſſary that the motion by the perpendicular C B

ſhould be more ſwift, than by the inclining plane C A; yet ne

vertheleſs, iſ this be, how can the Cadent by the inclination ar

rived to the point A, have as much impetus, that is, the ſame de

gree of velocity, that the Cadent by the perpendicular ſhall have

in the point B? theſe two Propoſitions ſeem contradictory.

ing to me neceſſary that the motion by the perpendicular C B

ſhould be more ſwift, than by the inclining plane C A; yet ne

vertheleſs, iſ this be, how can the Cadent by the inclination ar

rived to the point A, have as much impetus, that is, the ſame de

gree of velocity, that the Cadent by the perpendicular ſhall have

in the point B? theſe two Propoſitions ſeem contradictory.

The veloeity by the

inclining plane e

qual to the veloci

ty by the perpendi

oular, and the mo

tion by the perpen

dicular ſwifter

than by the incli

nation.

inclining plane e

qual to the veloci

ty by the perpendi

oular, and the mo

tion by the perpen

dicular ſwifter

than by the incli

nation.

SALV. Then you would think it much more falſe, ſhould I

ſay, that the velocity of the Cadents by the perpendicular, and

inclination, are abſolutely equal: and yet this is a Propoſition

moſt true, as is alſo this that the Cadent moveth more ſwiftly by

the perpendicular, than by the inclination.

ſay, that the velocity of the Cadents by the perpendicular, and

inclination, are abſolutely equal: and yet this is a Propoſition

moſt true, as is alſo this that the Cadent moveth more ſwiftly by

the perpendicular, than by the inclination.

SALV. I conceit you jeſt with me, pretending not to compre

hend what you know better than my ſelf: therefore tell me Sim

plicius, when you imagine a moveable more ſwift than ano

ther, what conceit do you fancy in your mind?

hend what you know better than my ſelf: therefore tell me Sim

plicius, when you imagine a moveable more ſwift than ano

ther, what conceit do you fancy in your mind?