Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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1conſiſteth the original cauſe of the irregular motion of the
ſels, and conſequently of the Ebbing and Flowing: inſomuch

that if theſe additions and ſubſtractions ſhould alwayes proceed
in the ſame proportion, in reſpect of the Annual motion, the
cauſe of the Ebbing and Flowing would indeed continue, but
yet ſo as that they would perpetually return in the ſelf ſame
ner: But we are to finde out the cauſe of making the ſame
bings and Flowings in divers times greater and leſſer:
fore we muſt (if we will retain the identity of the cauſe) find the
alteration in theſe additions and ſubſtractions, that make them
more & leſs potent, in producing thoſe effects which depend
upon.
But I ſee not how that potency and impotence can be
duced, unleſſe by making the ſame additions and ſubſtractions,
one while greater, and another while leſſer; ſo that the
tion and the retardment of the compound motion, may be made,
ſometimes in greater, and ſometimes in leſſer proportion.
The alterations
in the effects argue
alteration in the
cauſe.
The cauſes at
large aſſigned of
the Periods
nethly and
al of the ebbing
and flowing.
The monethly
and annual
tions of the tide can
depend upon
thing, ſave on the
alteration of the
additions &
ſtractions of the
diurnal period from
the annual.
SAGR. I feel my ſelf very gently led, as it were, by the hand,
and though I finde no rubs in the way, yet nevertheleſſe, like a
blind man, I ſee not whether your Clue leadeth me, nor can I
imagine where ſuch a Journey will end.
SALV. Though there be a great difference between my ſlow
pac't Philoſophy, and your more nimble Reaſon, yet
leſſe, in this particular which we are now upon, I do not much
wonder, if the apprehenſiveneſſe of your wit be a little
red by the dark and thick miſt that hides the mark, at which we
aime: and that which leſſeneth my admiration is, the
brance of the many hours, many dayes, yea more, many nights
that I have conſumed in this contemplation, and of the many
times that, deſpairing to bring it to a period, I have, for an
couragement of my ſelf, indeavoured to believe, by the
ple of the unfortunate Orlando, that that might not poſſibly be
true, which yet the teſtimony of ſo many credible men ſet
fore my eyes: wonder not, therefore, if this once, contrary to
your cuſtome, you do not foreſee what I intend: and if you will
needs admire, I believe that the event, as far as I can judge
expected, will make you ceaſe your wonderment.
SAGR. I thank God, that he did not permit that deſperation
of yours to end in the Exit that is fabled of the miſerable
lando, nor in that which haply is no leſſe fabulouſly related of
Ariſtotle,, that ſo neither my ſelf nor others ſhould be deprived
of the diſcovery of a thing, as abſtruſe as it was deſirable: I
beſeech you, therefore, to ſatisfie my eager appetite as ſoon as
you can.
SALV. I am ready to ſerve you: We were upon an inquiry
in what manner the additions and ſubſtractions of the

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