Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 680
681 - 690
691 - 700
701 - 701
>
431
432
433
434
435
436
437
438
439
440
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 680
681 - 690
691 - 700
701 - 701
>
page
|<
<
of 701
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
040/01/431.jpg
"
pagenum
="
409
"/>
all converſion from the Annual motion, could be made, one
<
lb
/>
while in a greater, and another while in a leſſer proportion;
<
lb
/>
which diverſity, and no other thing, could be aſſigned for the
<
lb
/>
cauſe of the alterations, Monethly and Annual, that are ſeen in
<
lb
/>
the greatneſſe of the Ebbings and Flowings. </
s
>
<
s
>I will now
<
lb
/>
ſider how this proportion of the additions and ſubſtractions of
<
lb
/>
<
arrow.to.target
n
="
marg798
"/>
<
lb
/>
the Diurnal Revolution, and Annual motion may grow greater
<
lb
/>
and leſſer three ſeveral wayes. </
s
>
<
s
>One is by increaſing and
<
lb
/>
niſhing the velocity of the Annual motion, retaining the
<
lb
/>
ons and ſubſtractions made by the Diurnal converſion in the
<
lb
/>
ſame greatneſſe, becauſe the Annual motion being about three
<
lb
/>
times greater, that is, more velocious than the Diurnal motion
<
lb
/>
(conſidered likewiſe in the Grand Circle) if we increaſe it
<
lb
/>
anew, the additions and ſubſtractions of the Diurnal motion
<
lb
/>
will occaſion leſſe alteration therein: but, on the other ſide,
<
lb
/>
making it more ſlow, it will be altered in greater proportion, by
<
lb
/>
that ſame diurnal motion, juſt as the adding or ſubſtracting
<
lb
/>
four degrees of velocity from one that moveth with twenty
<
lb
/>
grees, altereth his courſe leſſe, than thoſe very four degrees would
<
lb
/>
do, added or ſubſtracted from one that ſhould move onely with
<
lb
/>
ten degrees. </
s
>
<
s
>The ſecond way would be, by making the
<
lb
/>
ons and ſubſtractions greater and leſſer, retaining the annual
<
lb
/>
tion in the ſame velocity; which is as eaſie to be underſtood, as it
<
lb
/>
is manifeſt, that a velocity
<
emph
type
="
italics
"/>
v. </
s
>
<
s
>gr.
<
emph.end
type
="
italics
"/>
of 20. degr. </
s
>
<
s
>is more altered by the
<
lb
/>
addition or ſubſtraction of 10. deg. </
s
>
<
s
>than by the addition or
<
lb
/>
ction of 4. The third way would be, in caſe theſe two were joyned
<
lb
/>
together, diminiſhing the annual motion, & increaſing the diurnal
<
lb
/>
additions and ſubſtractions. </
s
>
<
s
>Hitherto, as you ſee, it was no
<
lb
/>
hard matter to attain, but yet it proved to me very hard to find
<
lb
/>
by what means this might be effected in Nature. </
s
>
<
s
>Yet in the end,
<
lb
/>
<
arrow.to.target
n
="
marg799
"/>
<
lb
/>
I finde that ſhe doth admirably make uſe thereof, and in wayes
<
lb
/>
almoſt incredible: I mean, admirable and incredible to us, but
<
lb
/>
not to her, who worketh even thoſe very things, which, to our
<
lb
/>
capacity, are of infinite wonder, with extraordinary facility and
<
lb
/>
ſimplicity: and that which it is hard for us to underſtand, is
<
lb
/>
ſie for her to effect. </
s
>
<
s
>Now to proceed, having ſhewn that the
<
lb
/>
proportion between the additions and ſubſtractions of the
<
lb
/>
nal converſion and Annual motion may be made greater and
<
lb
/>
ſer, two wayes, (and I ſay two, becauſe the third is comprized in
<
lb
/>
the two firſt) I adde, that Nature maketh uſe of them both:
<
lb
/>
and farthermore, I ſubjoyn, that if ſhe did make uſe but of one
<
lb
/>
alone, it would be neceſſary to take away one of the two
<
lb
/>
dical alterations. </
s
>
<
s
>That of the Monethly Period would ceaſe, if
<
lb
/>
<
arrow.to.target
n
="
marg800
"/>
<
lb
/>
the annual motion ſhould not alter. </
s
>
<
s
>And in caſe the additions
<
lb
/>
and ſubſtractions of the diurnal revolution ſhould continually </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>