1all converſion from the Annual motion, could be made, one
while in a greater, and another while in a leſſer proportion;
which diverſity, and no other thing, could be aſſigned for the
cauſe of the alterations, Monethly and Annual, that are ſeen in
the greatneſſe of the Ebbings and Flowings. I will now
ſider how this proportion of the additions and ſubſtractions of
the Diurnal Revolution, and Annual motion may grow greater
and leſſer three ſeveral wayes. One is by increaſing and
niſhing the velocity of the Annual motion, retaining the
ons and ſubſtractions made by the Diurnal converſion in the
ſame greatneſſe, becauſe the Annual motion being about three
times greater, that is, more velocious than the Diurnal motion
(conſidered likewiſe in the Grand Circle) if we increaſe it
anew, the additions and ſubſtractions of the Diurnal motion
will occaſion leſſe alteration therein: but, on the other ſide,
making it more ſlow, it will be altered in greater proportion, by
that ſame diurnal motion, juſt as the adding or ſubſtracting
four degrees of velocity from one that moveth with twenty
grees, altereth his courſe leſſe, than thoſe very four degrees would
do, added or ſubſtracted from one that ſhould move onely with
ten degrees. The ſecond way would be, by making the
ons and ſubſtractions greater and leſſer, retaining the annual
tion in the ſame velocity; which is as eaſie to be underſtood, as it
is manifeſt, that a velocity v. gr. of 20. degr. is more altered by the
addition or ſubſtraction of 10. deg. than by the addition or
ction of 4. The third way would be, in caſe theſe two were joyned
together, diminiſhing the annual motion, & increaſing the diurnal
additions and ſubſtractions. Hitherto, as you ſee, it was no
hard matter to attain, but yet it proved to me very hard to find
by what means this might be effected in Nature. Yet in the end,
I finde that ſhe doth admirably make uſe thereof, and in wayes
almoſt incredible: I mean, admirable and incredible to us, but
not to her, who worketh even thoſe very things, which, to our
capacity, are of infinite wonder, with extraordinary facility and
ſimplicity: and that which it is hard for us to underſtand, is
ſie for her to effect. Now to proceed, having ſhewn that the
proportion between the additions and ſubſtractions of the
nal converſion and Annual motion may be made greater and
ſer, two wayes, (and I ſay two, becauſe the third is comprized in
the two firſt) I adde, that Nature maketh uſe of them both:
and farthermore, I ſubjoyn, that if ſhe did make uſe but of one
alone, it would be neceſſary to take away one of the two
dical alterations. That of the Monethly Period would ceaſe, if
the annual motion ſhould not alter. And in caſe the additions
and ſubſtractions of the diurnal revolution ſhould continually
while in a greater, and another while in a leſſer proportion;
which diverſity, and no other thing, could be aſſigned for the
cauſe of the alterations, Monethly and Annual, that are ſeen in
the greatneſſe of the Ebbings and Flowings. I will now
ſider how this proportion of the additions and ſubſtractions of
the Diurnal Revolution, and Annual motion may grow greater
and leſſer three ſeveral wayes. One is by increaſing and
niſhing the velocity of the Annual motion, retaining the
ons and ſubſtractions made by the Diurnal converſion in the
ſame greatneſſe, becauſe the Annual motion being about three
times greater, that is, more velocious than the Diurnal motion
(conſidered likewiſe in the Grand Circle) if we increaſe it
anew, the additions and ſubſtractions of the Diurnal motion
will occaſion leſſe alteration therein: but, on the other ſide,
making it more ſlow, it will be altered in greater proportion, by
that ſame diurnal motion, juſt as the adding or ſubſtracting
four degrees of velocity from one that moveth with twenty
grees, altereth his courſe leſſe, than thoſe very four degrees would
do, added or ſubſtracted from one that ſhould move onely with
ten degrees. The ſecond way would be, by making the
ons and ſubſtractions greater and leſſer, retaining the annual
tion in the ſame velocity; which is as eaſie to be underſtood, as it
is manifeſt, that a velocity v. gr. of 20. degr. is more altered by the
addition or ſubſtraction of 10. deg. than by the addition or
ction of 4. The third way would be, in caſe theſe two were joyned
together, diminiſhing the annual motion, & increaſing the diurnal
additions and ſubſtractions. Hitherto, as you ſee, it was no
hard matter to attain, but yet it proved to me very hard to find
by what means this might be effected in Nature. Yet in the end,
I finde that ſhe doth admirably make uſe thereof, and in wayes
almoſt incredible: I mean, admirable and incredible to us, but
not to her, who worketh even thoſe very things, which, to our
capacity, are of infinite wonder, with extraordinary facility and
ſimplicity: and that which it is hard for us to underſtand, is
ſie for her to effect. Now to proceed, having ſhewn that the
proportion between the additions and ſubſtractions of the
nal converſion and Annual motion may be made greater and
ſer, two wayes, (and I ſay two, becauſe the third is comprized in
the two firſt) I adde, that Nature maketh uſe of them both:
and farthermore, I ſubjoyn, that if ſhe did make uſe but of one
alone, it would be neceſſary to take away one of the two
dical alterations. That of the Monethly Period would ceaſe, if
the annual motion ſhould not alter. And in caſe the additions
and ſubſtractions of the diurnal revolution ſhould continually
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