Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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 - 97
>
41
42
43
44
45
46
47
48
49
50
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 97
>
page
|<
<
of 97
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div77
"
type
="
section
"
level
="
1
"
n
="
43
">
<
p
>
<
s
xml:id
="
echoid-s2569
"
xml:space
="
preserve
">
<
pb
file
="
0047
"
n
="
47
"
rhead
="
TABVLARVM SINVVM.
"/>
eclypticæ noſſe deſideras, fuerit in ſigno aliquo deſcendente, tunc addes angulum cõmu
<
lb
/>
nem ad angulum, quem facit idem illud punctum in medio cœli cum eclyptica & </
s
>
<
s
xml:id
="
echoid-s2570
"
xml:space
="
preserve
">me
<
lb
/>
ridiano, ſumma ea à ſemicirculo ſubtracta, remanebit tibi angulus cauſſatus ab eclypti-
<
lb
/>
ca iuxta punctum propoſitum cum horizonte. </
s
>
<
s
xml:id
="
echoid-s2571
"
xml:space
="
preserve
">Si aũt punctum illud eclypticæ ſit in ſemi
<
lb
/>
circulo eclypticæ aſcendente, tũc ſubtrahe angulum cõmunem ab angulo meridian, & </
s
>
<
s
xml:id
="
echoid-s2572
"
xml:space
="
preserve
">
<
lb
/>
remanebit angulus eclypticæ & </
s
>
<
s
xml:id
="
echoid-s2573
"
xml:space
="
preserve
">horizontis iuxta propoſitũ punctũ eclypticæ. </
s
>
<
s
xml:id
="
echoid-s2574
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s2575
"
xml:space
="
preserve
">? Ex-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0047-01
"
xlink:href
="
note-0047-01a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
<
emph
style
="
it
">Epiſoopi.</
emph
>
</
note
>
emplum ſit hoc tibi, ex 30. </
s
>
<
s
xml:id
="
echoid-s2576
"
xml:space
="
preserve
">propoſitione iam inueni in ipſa hora & </
s
>
<
s
xml:id
="
echoid-s2577
"
xml:space
="
preserve
">minuto intronizatio
<
lb
/>
nis fuiſſe in aſcendente 5. </
s
>
<
s
xml:id
="
echoid-s2578
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2579
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s2580
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2581
"
xml:space
="
preserve
">♌, declinatio huius eſt 18. </
s
>
<
s
xml:id
="
echoid-s2582
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2583
"
xml:space
="
preserve
">58. </
s
>
<
s
xml:id
="
echoid-s2584
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2585
"
xml:space
="
preserve
">cõplementũ
<
lb
/>
aũt 71. </
s
>
<
s
xml:id
="
echoid-s2586
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2587
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s2588
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2589
"
xml:space
="
preserve
">ſinum huius cõplementi propono deinceps 94570. </
s
>
<
s
xml:id
="
echoid-s2590
"
xml:space
="
preserve
">ſimul & </
s
>
<
s
xml:id
="
echoid-s2591
"
xml:space
="
preserve
">ſinũ cõple-
<
lb
/>
menti maximæ declinationis 91706. </
s
>
<
s
xml:id
="
echoid-s2592
"
xml:space
="
preserve
">tunc puta minorem duco in ſinũ ꝑfectum, & </
s
>
<
s
xml:id
="
echoid-s2593
"
xml:space
="
preserve
">ꝓdu-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0047-02
"
xlink:href
="
note-0047-02a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Arealis in-</
emph
>
<
lb
/>
<
emph
style
="
it
">greſſus.</
emph
>
</
note
>
ctum diuido in 94570: </
s
>
<
s
xml:id
="
echoid-s2594
"
xml:space
="
preserve
">in quotiente uideo mihi ꝓueniſſe 96971. </
s
>
<
s
xml:id
="
echoid-s2595
"
xml:space
="
preserve
">arcus huius quotientis
<
lb
/>
75. </
s
>
<
s
xml:id
="
echoid-s2596
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2597
"
xml:space
="
preserve
">52. </
s
>
<
s
xml:id
="
echoid-s2598
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2599
"
xml:space
="
preserve
">oſtendit quãtitatẽ anguli quem facit eclyptica cũ meridiano iuxta 5. </
s
>
<
s
xml:id
="
echoid-s2600
"
xml:space
="
preserve
">gra.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2601
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s2602
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2603
"
xml:space
="
preserve
">♌. </
s
>
<
s
xml:id
="
echoid-s2604
"
xml:space
="
preserve
">Deinceps adhuc multiplico ſinũ eleuationis poli 48. </
s
>
<
s
xml:id
="
echoid-s2605
"
xml:space
="
preserve
">graduum, ſcilicet 74314. </
s
>
<
s
xml:id
="
echoid-s2606
"
xml:space
="
preserve
">
<
lb
/>
(ſiquidem is eſt minor) in ſinũ totũ, & </
s
>
<
s
xml:id
="
echoid-s2607
"
xml:space
="
preserve
">diuido ꝓductũ cũ ſinu cõplemẽti declinatiõis pun
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0047-03
"
xlink:href
="
note-0047-03a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Arcalis in-</
emph
>
<
lb
/>
<
emph
style
="
it
">greſſus.</
emph
>
</
note
>
cti, ꝓpoſiti 94578. </
s
>
<
s
xml:id
="
echoid-s2608
"
xml:space
="
preserve
">quotiens erit 79581 arcus uero 51. </
s
>
<
s
xml:id
="
echoid-s2609
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2610
"
xml:space
="
preserve
">48. </
s
>
<
s
xml:id
="
echoid-s2611
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2612
"
xml:space
="
preserve
">ꝗ uocatur angulus cõ-
<
lb
/>
munis, & </
s
>
<
s
xml:id
="
echoid-s2613
"
xml:space
="
preserve
">quia ♌ eſt inter principiũ ♋ & </
s
>
<
s
xml:id
="
echoid-s2614
"
xml:space
="
preserve
">♑, quæ ſigna ſunt deſcendentia, angulũ illum
<
lb
/>
cõmunem addo ad angulũ medij cœli 75. </
s
>
<
s
xml:id
="
echoid-s2615
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2616
"
xml:space
="
preserve
">52. </
s
>
<
s
xml:id
="
echoid-s2617
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2618
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2619
"
xml:space
="
preserve
">prouenient 127. </
s
>
<
s
xml:id
="
echoid-s2620
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2621
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s2622
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2623
"
xml:space
="
preserve
">qui-
<
lb
/>
bus à ſemicirculo ſubtractis, remanent 52. </
s
>
<
s
xml:id
="
echoid-s2624
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2625
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s2626
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2627
"
xml:space
="
preserve
">qui angulus eſt horizontis & </
s
>
<
s
xml:id
="
echoid-s2628
"
xml:space
="
preserve
">ecly-
<
lb
/>
pticæ, quando 5. </
s
>
<
s
xml:id
="
echoid-s2629
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2630
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s2631
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2632
"
xml:space
="
preserve
">♌ partiliter, ut ſic liceat loqui, in horizõte cõſiſtunt 48. </
s
>
<
s
xml:id
="
echoid-s2633
"
xml:space
="
preserve
">gra.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2634
"
xml:space
="
preserve
">Accedat adhuc aliud exemplũ, ne quid prætermittamus q̊d ad intelligentiã huius rei fa-
<
lb
/>
cere uideatur, ſi forte punctũ eclypticæ in horizonte conſtitutum fuerit in ſemicirculo e-
<
lb
/>
clypticæ aſcendente, hoc eſt à principio ♑ ad finem II, ego´ cupiam habere angulum
<
lb
/>
eclypticæ & </
s
>
<
s
xml:id
="
echoid-s2635
"
xml:space
="
preserve
">horizontis, quem gradus Solis, ſcilicet 2. </
s
>
<
s
xml:id
="
echoid-s2636
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2637
"
xml:space
="
preserve
">26. </
s
>
<
s
xml:id
="
echoid-s2638
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2639
"
xml:space
="
preserve
">II in die intronizationis
<
lb
/>
ſub ipſum Solis ortũ effecit (& </
s
>
<
s
xml:id
="
echoid-s2640
"
xml:space
="
preserve
">eſto ut Sol eo die proprio ſuo motu ſteterit in eclyptica)
<
lb
/>
ibi principio per 26. </
s
>
<
s
xml:id
="
echoid-s2641
"
xml:space
="
preserve
">27. </
s
>
<
s
xml:id
="
echoid-s2642
"
xml:space
="
preserve
">aut 28. </
s
>
<
s
xml:id
="
echoid-s2643
"
xml:space
="
preserve
">propoſitiones inueni angulum eclypticæ & </
s
>
<
s
xml:id
="
echoid-s2644
"
xml:space
="
preserve
">meridiani, ꝗ
<
lb
/>
fuit iuxta gradum Solis, illum inquam inueni 78. </
s
>
<
s
xml:id
="
echoid-s2645
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2646
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s2647
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2648
"
xml:space
="
preserve
">Deinde ſinũ altitudinis po-
<
lb
/>
li 48. </
s
>
<
s
xml:id
="
echoid-s2649
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2650
"
xml:space
="
preserve
">ſcilicet 743 14. </
s
>
<
s
xml:id
="
echoid-s2651
"
xml:space
="
preserve
">tan̈ minorẽ duco in ſinũ totum, productũ diuido in ſinũ com-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0047-04
"
xlink:href
="
note-0047-04a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Arealis.</
emph
>
</
note
>
plementi declinationis Solis, ſcilicet 93544. </
s
>
<
s
xml:id
="
echoid-s2652
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2653
"
xml:space
="
preserve
">quotiens erit 79335. </
s
>
<
s
xml:id
="
echoid-s2654
"
xml:space
="
preserve
">arcus eius 52. </
s
>
<
s
xml:id
="
echoid-s2655
"
xml:space
="
preserve
">gra.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2656
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s2657
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2658
"
xml:space
="
preserve
">angulus ille communis, quem mox ſubtraho ab angulo medij cœli, & </
s
>
<
s
xml:id
="
echoid-s2659
"
xml:space
="
preserve
">remane-
<
lb
/>
bunt pro angulo orientis eclypticæ & </
s
>
<
s
xml:id
="
echoid-s2660
"
xml:space
="
preserve
">horizontis iuxta gradum Solis 26. </
s
>
<
s
xml:id
="
echoid-s2661
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2662
"
xml:space
="
preserve
">7. </
s
>
<
s
xml:id
="
echoid-s2663
"
xml:space
="
preserve
">mi.</
s
>
<
s
xml:id
="
echoid-s2664
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div79
"
type
="
section
"
level
="
1
"
n
="
44
">
<
head
xml:id
="
echoid-head48
"
xml:space
="
preserve
">PRONVNCIATVM XXXII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2665
"
xml:space
="
preserve
">Quantitatem anguli ab horizonte & </
s
>
<
s
xml:id
="
echoid-s2666
"
xml:space
="
preserve
">eclyptica cauſſati diuerſo modo in
<
lb
/>
quirere, habito tantum prius medij cœli gradu.</
s
>
<
s
xml:id
="
echoid-s2667
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2668
"
xml:space
="
preserve
">Quum primũ habueris medij cœli gradũ, ſtatim quære per aliquã propoſitionum 26.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2669
"
xml:space
="
preserve
">27. </
s
>
<
s
xml:id
="
echoid-s2670
"
xml:space
="
preserve
">uel 28. </
s
>
<
s
xml:id
="
echoid-s2671
"
xml:space
="
preserve
">angulũ quem facit eclyptica cum meridiano, deinde duc ſinũ anguli illius in ſi
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0047-05
"
xlink:href
="
note-0047-05a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Lateraliter</
emph
>
<
lb
/>
<
emph
style
="
it
">hoc aſſe-</
emph
>
<
lb
/>
<
emph
style
="
it
">queris.</
emph
>
</
note
>
num diſtantiæ zenith à gradu medij cœli, productũ diuide in totum, & </
s
>
<
s
xml:id
="
echoid-s2672
"
xml:space
="
preserve
">cõplementũ arcus
<
lb
/>
quotientis erit angulus eclypticæ & </
s
>
<
s
xml:id
="
echoid-s2673
"
xml:space
="
preserve
">horizontis, qualiſcun tandem fuerit in aſcenden-
<
lb
/>
te gradus. </
s
>
<
s
xml:id
="
echoid-s2674
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s2675
"
xml:space
="
preserve
">? Id adeo tali confirmabimus exemplo. </
s
>
<
s
xml:id
="
echoid-s2676
"
xml:space
="
preserve
">ꝓpono ecce mihi gradũ medij cœli
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0047-06
"
xlink:href
="
note-0047-06a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
<
emph
style
="
it
">Epiſoo
<
unsure
/>
pi.</
emph
>
</
note
>
15. </
s
>
<
s
xml:id
="
echoid-s2677
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2678
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2679
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s2680
"
xml:space
="
preserve
">♈, quẽ iam ſupra pronunciato 26. </
s
>
<
s
xml:id
="
echoid-s2681
"
xml:space
="
preserve
">ad horã intronizationis inueni in medio
<
lb
/>
cœli, & </
s
>
<
s
xml:id
="
echoid-s2682
"
xml:space
="
preserve
">per tres illas propoſitiones per 26. </
s
>
<
s
xml:id
="
echoid-s2683
"
xml:space
="
preserve
">27. </
s
>
<
s
xml:id
="
echoid-s2684
"
xml:space
="
preserve
">ſiue 28. </
s
>
<
s
xml:id
="
echoid-s2685
"
xml:space
="
preserve
">reperi etiam angulum meridiani
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s2686
"
xml:space
="
preserve
">eclypticæ ad idem illud momentum 67. </
s
>
<
s
xml:id
="
echoid-s2687
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2688
"
xml:space
="
preserve
">23. </
s
>
<
s
xml:id
="
echoid-s2689
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2690
"
xml:space
="
preserve
">ſinus ipſius eſt 92309. </
s
>
<
s
xml:id
="
echoid-s2691
"
xml:space
="
preserve
">eum ſi du-
<
lb
/>
cam in ſinum diſtantiæ zenith à medio cœli, quæ eſt 41. </
s
>
<
s
xml:id
="
echoid-s2692
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2693
"
xml:space
="
preserve
">26. </
s
>
<
s
xml:id
="
echoid-s2694
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2695
"
xml:space
="
preserve
">ſcilicet 66 174. </
s
>
<
s
xml:id
="
echoid-s2696
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2697
"
xml:space
="
preserve
">di-
<
lb
/>
uidam productum in ſinum perfectum, inueniam in quotiente 61084. </
s
>
<
s
xml:id
="
echoid-s2698
"
xml:space
="
preserve
">complementum
<
lb
/>
eius arcus oſtendit quantitatem anguli quem facit eclyptica cum horizonte in parte ori
<
lb
/>
entis & </
s
>
<
s
xml:id
="
echoid-s2699
"
xml:space
="
preserve
">occidentis, ſunt´ gradus 25. </
s
>
<
s
xml:id
="
echoid-s2700
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2701
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s2702
"
xml:space
="
preserve
">in quibus quærendis laboratum eſt.</
s
>
<
s
xml:id
="
echoid-s2703
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div81
"
type
="
section
"
level
="
1
"
n
="
45
">
<
head
xml:id
="
echoid-head49
"
xml:space
="
preserve
">PRONVNCIATVM XXXIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2704
"
xml:space
="
preserve
">Angulum occidentis, quem eclyptica cum horizonte efficit in parte occi-
<
lb
/>
dua, prompte & </
s
>
<
s
xml:id
="
echoid-s2705
"
xml:space
="
preserve
">facile inueſtigare.</
s
>
<
s
xml:id
="
echoid-s2706
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2707
"
xml:space
="
preserve
">Operæpreciũ nõ eſt hoc ꝓnunciatũ multis explicare, quũ ſuperiori 31. </
s
>
<
s
xml:id
="
echoid-s2708
"
xml:space
="
preserve
">planê ſimilis
<
lb
/>
fit, niſi q̊d hic addẽdũ eſt, ubi illic ſubtractũ, & </
s
>
<
s
xml:id
="
echoid-s2709
"
xml:space
="
preserve
">uiciſsim ſubtrahẽdũ, ubi additũ eſt illic, qñ
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0047-07
"
xlink:href
="
note-0047-07a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
<
emph
style
="
it
">Epiſoo
<
unsure
/>
pi.</
emph
>
</
note
>
angulũ horizõtis et eclypticæ quærebas, ſicuti ſequens monſtrabit exemplũ. </
s
>
<
s
xml:id
="
echoid-s2710
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s2711
"
xml:space
="
preserve
">? Cupio
<
lb
/>
ſcire angulũ quẽ facit eclyptica in 5. </
s
>
<
s
xml:id
="
echoid-s2712
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2713
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s2714
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2715
"
xml:space
="
preserve
">♌, cum horizonte occiduo, ex 31. </
s
>
<
s
xml:id
="
echoid-s2716
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>
