Musschenbroek, Petrus van
,
Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
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 - 710
711 - 720
721 - 730
731 - 740
741 - 750
751 - 760
761 - 770
771 - 780
781 - 790
791 - 795
>
131
(117)
132
(118)
133
(119)
134
(120)
135
(121)
136
(122)
137
(123)
138
(124)
139
(125)
140
(126)
<
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 - 710
711 - 720
721 - 730
731 - 740
741 - 750
751 - 760
761 - 770
771 - 780
781 - 790
791 - 795
>
page
|<
<
(17)
of 795
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div11
"
type
="
section
"
level
="
1
"
n
="
11
">
<
pb
o
="
17
"
file
="
0031
"
n
="
31
"
rhead
="
DE MAGNETE.
"/>
<
p
>
<
s
xml:id
="
echoid-s493
"
xml:space
="
preserve
">Elicimus ex hiſce Experimentis ſequentia Corollaria.</
s
>
<
s
xml:id
="
echoid-s494
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s495
"
xml:space
="
preserve
">(1) Magnetes duos ſe attrahere diverſis viribus in variis diſtantiis a
<
lb
/>
ſe invicem, & </
s
>
<
s
xml:id
="
echoid-s496
"
xml:space
="
preserve
">quidem eo fortius ſe appetere, quo ſibi propiores ſunt;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s497
"
xml:space
="
preserve
">unde in mutuo contactu fortiſſime in ſe agunt, nam vires quibus
<
lb
/>
ſe contingentes attrahebant, erant æquales ponderi 340 granorum, & </
s
>
<
s
xml:id
="
echoid-s498
"
xml:space
="
preserve
">
<
lb
/>
in diſtantia 12 pollicum modo æquabant 23 grana.</
s
>
<
s
xml:id
="
echoid-s499
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s500
"
xml:space
="
preserve
">Corol. </
s
>
<
s
xml:id
="
echoid-s501
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s502
"
xml:space
="
preserve
">Et apparet ex inſpectis Experimentis vires attrahentes
<
lb
/>
nondum eſſe in tam alta ratione, quæ eſt inverſa diſtantiarum, ſed in
<
lb
/>
minori: </
s
>
<
s
xml:id
="
echoid-s503
"
xml:space
="
preserve
">Cum enim ad diſtantiam {1/2} lineæ ſit vis attrahens 186 gra-
<
lb
/>
norum, ad diſtantiam duplo majorem, ſive 1 lineæ, invenitur hæc vis
<
lb
/>
140 granorum, quod ſi in ratione inverſa diſtantiarum hæc vis fuiſſet,
<
lb
/>
pondera hæc darentur</
s
>
</
p
>
<
note
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Diſtant. # pond. ex calculo. # pondera vera
<
lb
/>
{1/2} # 186 # 186
<
lb
/>
1 # 93 # 140
<
lb
/>
2 # 46 {1/2} # 79
<
lb
/>
4 # 23 {1/4} # 50 {1/2}
<
lb
/>
8 # 11 {5/8} # 33.
<
lb
/>
</
note
>
<
p
>
<
s
xml:id
="
echoid-s504
"
xml:space
="
preserve
">Si alias ſumamus obſervatas diſtantias, iterum invenimus attractio-
<
lb
/>
nes majores, quam calculus memoratus indicaret.</
s
>
<
s
xml:id
="
echoid-s505
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Diſtant. # pond. ex calculo. # pondera vera
<
lb
/>
{1/3} # 240 # 240
<
lb
/>
1 # 80 # 140
<
lb
/>
3 # 26 {1/3} # 62
<
lb
/>
9 # 8 {7/9} # 29
<
lb
/>
27 # 3 fere # 9.
<
lb
/>
</
note
>
<
p
>
<
s
xml:id
="
echoid-s506
"
xml:space
="
preserve
">Corol. </
s
>
<
s
xml:id
="
echoid-s507
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s508
"
xml:space
="
preserve
">Quod ſi attendamus ad proportionem virium attrahen-
<
lb
/>
tium, eam nequaquam deprehendimus eſſe aliquam conſtantem, nam
<
lb
/>
pondus ad {1/2} lineam diſtantiæ fuit 186 granorum, qui numerus eſt ad 140
<
lb
/>
grana, uti 1 {23/70} ad 1. </
s
>
<
s
xml:id
="
echoid-s509
"
xml:space
="
preserve
">quæ proportio ſemper in aliis Sequentibus obti-
<
lb
/>
neret numeris, poſita quadam ratione conſtanti: </
s
>
<
s
xml:id
="
echoid-s510
"
xml:space
="
preserve
">verum 140 ſunt ad
<
lb
/>
79:</
s
>
<
s
xml:id
="
echoid-s511
"
xml:space
="
preserve
">: 1 {61/79}. </
s
>
<
s
xml:id
="
echoid-s512
"
xml:space
="
preserve
">ad 1. </
s
>
<
s
xml:id
="
echoid-s513
"
xml:space
="
preserve
">Sunt 79 ad 50 {1/2}:</
s
>
<
s
xml:id
="
echoid-s514
"
xml:space
="
preserve
">: 1 {57/101} ad 1. </
s
>
<
s
xml:id
="
echoid-s515
"
xml:space
="
preserve
">tum 50 {1/2} ad 33:</
s
>
<
s
xml:id
="
echoid-s516
"
xml:space
="
preserve
">: 1 {35/66} ad 1.</
s
>
<
s
xml:id
="
echoid-s517
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s518
"
xml:space
="
preserve
">In quibus omnibus profecto obtinet alia proportio. </
s
>
<
s
xml:id
="
echoid-s519
"
xml:space
="
preserve
">Quoniam in-
<
lb
/>
numeræ dari poſſunt proportiones, multum laboris impendi, ut ali-
<
lb
/>
quam eruerem ex datis numeris, ſive ſimplicem, ſive compoſitam </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>