[...]

[Page]

[figure]

The Description and Use of the NOCTURNAL; By M [...] Samuel Foster, late Reader of Astronomy in Gresham-Col­ledge.

With the Addition of a Ruler, shewing the Measures of Inches and other Parts of most Countries, compared with our English ones; Being useful for all Merchants & Tradesmen.

THIS Nocturnal is made of two Plates; the thick Plate (which I call the Mater) and a Moveable Plate, representing the Aequinoctial. On the Mater, the Circle doth represent the Eccliptick. All the rest of the Writing, is the Names of as many of the Fixed Stars as the bigness of the Instrument will give leave. To these must be added an Index or Label, fastned at the Center, to cut the several Circles upon the Instrument.

The Use of the Nocturnal.

1. SET the Label to the Sun's Place in the Zodiack, and the Hour of Twelve in the Aequinoctial to the Star, whose time of coming to the Meridian you enquire after; and then look what hour and minute is cut by the Label in the Aequinoctial, for that is the hour of the Day or Night that the same Star will come to the South Part of the Meridian.

But you must observe, that the hours are marked in the Aequinoctial in this manner, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. Now the Difficulty lyeth, in finding whether the minutes you shall find cut by the Label in the Aequinoctial, doth be­long [Page 2] to the upper row of hours, Viz. 12, 1, 2, 3, 4 5, or to the under row, Viz. 6, 7, 8, 9, 10, 11; and whether from Noon, or from Midnight: In order to this you must know in what Sign the Star is that you observe, and take notice how far it is distant from the Place where the ☉ is that day; if it be not above three whole Signs, the Minute cut by the Label, belongeth to the upper row of hours to be accounted from Noon; and if the Distance of the Star, and of the ☉ be four, five, or six Signs, then the said Minute cut by the Label belongeth to the under row of hours, ac­counted also from Noon: but if the Distance of the ☉ and Star be 7, 8, or 9 Signs, then the Minute belongeth to the upper row of hours accounted from Midnight. Lastly, if the Distance of the ☉ and Star be 10, 11, or 12 Signs, then the Minute belongeth to the under row of hours, accounted from Midnight. All which beforesaid shall be made clear by Examples.

Example the first. The ☉ being in the begin­ning of ♌; when will Spica ♍ come to the Meridian? Set the Label to the beginning of ♌, and the hour 12 in the Aequinoctial to Spica ♍ then will the Label cut the 59th. Minute after 4, or after 10; now this Star being in ♎, which is not above three Signs from ♌, it must be after 4 of the Clock from Noon. I conclude then that the ☉ being in the beginning of ♌, the Spica ♍ will come to the South at 4h. 59′ past Noon.

Example II. When will the same Star come to the Meridian, the ☉ being in the 10th. degree of ♊? The Label being set to the 10 of ♊, and 12 to the Star, as be­fore, the Label shall cut the 35 Minute after 2 or 8; now it must be after 8, because the ☉ is above three Signs di­stant from the Star, and yet not seven Signs; so Spica ♍ will come to the Meridian at 8h. 35′ past Noon.

Example III. When will the same Spica ♍ come to the Meridian, the ☉ being in ♓ the 5th. Degree?

[Page 3]The Label being set to the 5° of ♓, shall cut 41′ after 2, or 8; but it must be 2, and after Midnight past, because the distance of the ☉ and the Star is above six whole Signs, and not nine.

Example IV. Working after the same manner, you will find that the same Star will come to the Meridian at 9h. 58′ past Midnight, the ☉ being in the 20° 00′ of ♏. I take the lower row of hours, and say, that 'tis after Mid­night, because the ☉ is above nine Signs distant from the Star. NB. These Precepts are fitted to an Instrument made for 1671.

Additions to the Instrument, in Brass; made by Mr. R. Aug. 1st. 1684.

Calculated for the Year 1700, which will make some little difference in the aforesaid Precepts.

IF in this Instrument you set down to the several Stars their respective several Declinations, and by adding either an A, or B, according to the Declination of ei­ther Austral or Boreal, you shall have the height of the Star when it cometh to the Meridian, Viz. by adding the De­clination to the height of the Aequinoctial, when the said Declination is Northward, and by taking the Declination from the height of the Aequinoctial when the Declination is Southward.

[Page 4]As for Example. Suppose I desire to know when Cor ♌ shall come to the Meridian, what will be his Altitude in the Latitude of London 51° 30′. The height of the Aequi­noctial is 38° 30′, to which add the Stars North Declination, 13° 02′ [...] the Summe is 51° 32′ the Alti­tude required.

So the Altitude of the Spica ♍ in the Meridian will be found to be 28° 57′ in the same Latitude; for the height of the Aequinoctial is 38° 30′; from which take the Stars South Declination 9° 33′, the Remainder is 28° 57′.

I have so contrived this Instrument, that by making two little square holes in the Moveable Plate, the first sheweth you in what Sign the Star is, which is absolutely necessary to be known, to judge of the distance between the ☉ and the Star (as you have been taught before) and the second shews the Magnitude of the Star.

To know at any time proposed, what Point of the Ecclip­tick is in the Meridian.

Suppose the ☉ to be in the beginning of ♉, I desire to know what Degree of the Eccliptick shall be in the Meridian at 15′ past Five in the Afternoon.

I lay the hour given to the Sun's Place, and then I find over against the 12 a Clock line of the Aequinoctial, 15° 20′ of ♋; and that is the Degree that was then in the Me­ridian.

To know when any of the Planets shall come to the Meridian.

The Planets, because of their continual changing of Place, cannot be set fixt in this Nocturnal: Nevertheless, if at any time you desire to know their time of coming to the Meridian, you must look in some Ephemeris for the Place of the Planet, and according as you find it, set it with Black-Lead on your Instrument, which if it be in Brass, shall be easily put out. The Planet thus set, shall be as a Fixed [Page 5] Star, and its time of coming to the Meridian found out, as that of any of the Fixed Stars.

But Note, that if it be the Moon that you observe, you must allow about a degree for every two hours past since Noon; and thus you shall have her true Place; for the Ephe­meris gives you her Place only at Noon.

For Example. When will the Moon come to the Meridi­an on Ianuary the 1st. 168 4/5?

The ☉ is then in ♑ 22° 5′, and the Moon in ♈ 10° 12′. Now placing the Moon on my Instrument in ♈ 10° 12′, I find that the Moon shall come to the Meridian at a little past 5 in the Afternoon: and because there are five hours past since Noon, I must for these five hours allow two degrees and a half to the Moon's Place, and so set it to ♈ 13° 00′; which being done, I shall find the Moon's true hour of com­ing to the Meridian, and that is at about 5h. 15′ past Five in the Afternoon.

Hitherto is the Instrument general to all those that live on this side the Aequioctial; and may serve to any Intelli­gent Man that shall have South Declination.

But besides, I have made two little Windows in the Mo­veable Plate, but the Figures of them are Calculated for the Meridian of London, or any other Place that is under the same Latitude of 51° 30′.

The first Window shews the Semi-Nocturnal Arch of the Star in Hours and Minutes; and the Use of it is to know the time of the Stars Rising and Setting, as also how long it continues above the Horizon.

First. For the Rising, take the Semi-Nocturnal Arch from the time of the Stars coming to the Meridian, and the Re­mainder gives you the time of the Stars Rising. So the ☉ being in the beginning of ♊, the Spike of the Virgin comes to the Meridian at 9h. 18′ after Noon, from which take the Stars——5 11, Semi-Nocturnal Arch, there remains——4 07, which is the time of the Stars Rising in the Afternoon.

Secondly, For the Setting, add the Semi-Nocturnal Arch to the time of coming to the Meridian, and the Summe gives the time of the Stars Setting.

[Page 6]So on the same day, the ☉ being in the beginning of ♊, the Spike of the Virgin coming to the Meridian at 9h. 18′ if you [...]dd to it the Star's Semi-nocturnal Arch, 5 11′ the Summe is 14h. 29′ past Noon, or 2h. 29′ past Mid­night.

Thirdly, For the time of the Stars being above the Hori­zon, double the Semi-Nocturnal Arch, and the Summe is the time of the Star's being above the Horizon.

The other Window sheweth the Star's Amplitude in Degrees and Minutes, which is counted from the East to­wards the North, when the Star's Declination is North; and from the East to South, when the Declination is South: Where note, that the Stars Set at the same Distance from the West that they Rise from the East.

This Instrument was first invented by Mr. Samuel Foster, and given to me, drawn upon Pastboard by his own hand, which is still in my Power; but the Additions to it were put in by an Ingenious Gentleman of the French Nation, and by him drawn in Brass, which I received from him, and will keep for his Sake.

The following Table is made to insert all the Stars ex­pressed there according to their Right Ascensions, which is fourfold as great as the true is, the Nature of the Instru­ment requiring it to be so; because the Aequinoctial, which should be divided into twenty four hours, is divided but into six hours.

[Page 7]

A Table
 A.R.As Rec. 4.Decli.Semi-Diur­nal Arch.Amplit.
 °    h.mi.  
Lucid. Comae Beren. ♎182457310030068485330
Lucid. Lyrae ♑.27642110648383224000000
Syrius. ♋.98003920016154332643
Vindemiatrix. ♎.1915376732 [...]235705 [...]30
Spica Virginis. ♎.19723789329335111527
Procyon. ♋.1105744348600630940
Aquila. ♑.294061176248076411307
Luc. cap. Arieties. ♈.27381103222038043705
Arcturus. ♏.210348421620497553449
Cauda Delphin. ♒.3043012180010146541635
Austra lanx ♎. ♏.218378742814457172409
Cap. Medus. ♉.421516900394712000000
Bo. lanx. ♎. ♏.22516901048145181318
Luc. Hydr. ♌.13816553047225221153
Luc. Pleiad. ♉.52262094423108113912
Luc. Coron. Sep. ♏.23031922427458464825
Os Pega. ♒,322281289528316441346
Med. nex. col. Serp: ♏23227929487256381152
Bo. Fron. Scor. ♏.237029480818574183127
Antares ♐. cor ♏.242509712025423304400
Cor Leonis. ♌.148085923213027082115
Luc. colli Leonis. ♌.150516032421217583548
Luc. colli Peg. ♑.3363013460009106471450
In basi Crater. ♍.161106444016334322714
Marchab. Pega. ♓.3423013700013377112213
Rigel. ♎.7507300288335161349
Sin. Hum. Orion. ♊.771730908603631945
Cing. Orion. ♊.801832112124554215
Caput Ophiuci. ♐.2601610410412497062052
Cauda Leonis. ♍.173286935216137262639
Seq. Hum. Orion. ♊.8448339127206371150
Cuspis Sagit. ♐.2660010640030222505418
Cap. Andromed. ♓.3581614330427288444748
Extrem. ala Pegas. ♓.3593014380013327102205
Aldeban Tauri. ♊.64432585215537242605

[Page 8]

    The 5.10152025     
  °°°°°°
000018203644551273489236
111361304815016170041900821032
231122520827324294523162833812
360003814840332425084463646748
488485092852952549565694458912
608246272464612664486 [...]31670140
FINIS.
[Page]

In the Diagonall Scale you haue London foot Di­vided into 1000 Equal parts, Whereof

(France)
  • Paris Foot is ... 1:068
  • Lions Ell ... 3:976
  • Boloine Ell ... 2 076

The XVII Provinces
  • Amsterdam foot ... 0:942
  • Ell ... 2:269
  • Antwerp foot ... 0:948
  • Brill foot ... 5:103
  • Dort foot ... 1:184
  • Leyden foot ... 1:133
  • Ell ... 2:260
  • Lorain foot ... 0:958
  • Mecalin foot ... 0:919
  • Middleburg foo 0:991

Germany
  • Strasburg foot ... 0:920
  • Bremen foot ... 0:964
  • Cologne foot ... 0:9 [...]
  • Francfort foot ...0:948
  • Menain foot ... 0:948
  • Ell ... 1:826
  • Hamburg Ell ... 1 905
  • Leipsig Ell ... 2:260
  • Lubeck Ell ... 1 903
  • Noremberg foot ... 1:006
  • Ell ... 2:227
  • Bavaria foot ... 0:954
  • Vienna foot ... 1 053

Spain & Portugall
  • Spainish or Castil. palm: 751
  • Spanish Vare or rod 3:004
  • Spanish foot ... 3:004
  • Lisbon Vare ... 2:750
  • Gibralter Vare ... 2:760
  • Toledo foot ... 0:399
  • Vare ... 2:685

Italy
  • Roman foot on the Monum of Cossutius 0:967
  • of Statelius 0:972
  • Roman foot for building w. of 10 make ye Cauna 0 722
  • Bononia foot ... 1 204
  • Ell ... 2 113
  • [Page]Bononian Perch w: of 500 to a Mile ... 12:040
  • Florence Brace, or ell 1:913
  • Naples Palm ... 0:861
  • Brace ... 2:100
  • Cauna ... 6:880
  • Genoa Palm ... 0 830
  • Mantua foot ... 1 569
  • Milan Calamus 6:544
  • Parma Cubit ... 1:860
  • Venice foot ... 1 162

Other Places
  • Danzick foot ... 0:944
  • Ell ... 1:903
  • Copenhagen foot 0:965
  • Prague foot ... 1:026
  • Riga foot ... 1:831
  • China cubit ... 1 016
  • Turin foot ... 1 062
  • Cairo cubit ... 1 824
  • Persian Arash ... 3 197
  • Turkish Pike at Constantinop: the greater 2:20 [...]
  • The Greek foot ... 1: [...]07
  • Moutons vniversal foot ... 0 675 Note: A Pendulum of wch length will Vibrate 132 times in a minute, A Pendulum of 3 foot 268 parts long will Vibrate 60 times in a minut [...]

Ex: per me Jonas Moor

Tabula Ascensionum Obliquarum ad Latitudinem 51 deg. 00 min.
° ′
0000132130465731951013733180002222726450302293291434639
1025135031295837963313859181242235226612303343295634708
2050142032135944975614024182492251726734304383303834737
311614503257605199191415018403226432685630541331193480 [...]
4141152033426159100421431518538228082701830644331593483 [...]
5207155034276308102061444018703229342713930746332583490 [...]
6232162135136418103301460618827230592725930847333163493 [...]
7258165336006529104541473118952232252741930947333543495 [...]
8324172436486640106181485619116233522753931046334323502 [...]
9350175637366752107421502119241235172765831144335103505 [...]
104161828382569041090715146194062364227817312423354735120
11442190139157017110321531119530238082793531339336233514 [...]
125081934400571301115715436196552393328052314353365935214
135342007405672441132215601198202405828210315303373535241
146002040414873591144715726199452422328328316253381135308
156262114424175151161215850201102434828445317193384635334
166522149433576321173716015202342451328601318123392035400
17719222544307750119021614020359216382871631904339533542 [...]
187462301452579081202716305205242480328830319553402635452
198132337462180251215216430206492492828943320453405935518
208422413471881431231816554208142505329056321353413235544
219072450481683021244316719209392521829208322243420435610
229352528491484211260916844211042534229320323123423635636
2310022606501385411273517008212292550629431324003430735702
241030264 [...]511387011290117132213542563029542324473433935728
2510582722521488211302617257215202575429652325333441035753
2611262801531689421315217422216452591829801326183444035819
2711552841541991041331717547218102604129909327033451035844
2812232922552292261344317711219362620430016327473454035910
2912523004562693481360817836221012632730123328313461035935
3013213046573195101373318000222272645030229329143463936000

[Page]

Tabula Ascensionum Obliquarum ad Latitudinem 51 deg. 30 min.
° ′
0000130430125648943613715180002224526524303123294834656
10241332305457549505138421812522410266473041733029347 [...]5
204914013138590197241400818250225362689305213311134753
311414303221600898461413484152270226932306243315134821
41391501330661161001014300185402284827054307273323934849
52041530335062251013514426187062295427216308293330934916
62291600343563351025914552188302312027337309303334734944
72541631352264461042314717189562324627457310303342535011
8319170236086557105481484319121234132761731129335235038
93451733363767101071315009192462353927736312273354035105
104101805374668221083815134194122370527856313243361735132
114361837383569351100315300195372383228014314213365235158
125011910392670491112915425197022395728132315163372735225
13526194249167203112541555119828241232825131611338235251
1455220144108731911421157161995324249284831763383835317
156172048420174351154615844201162441428525317593391235343
16643212242547552117111600720244245392864131852339463548
17709215843497709118371613220409247628757319443401835434
187352233444478281200316258205352483128911320343405035459
198022308453979461212816423207002495729025321253412335524
208282343462681041225516548208262512229138322143415535550
21855242047338224124211671420951352472925032333422735615
22922245848318343125471683921117254122943323523425835641
23949253549308503127141700421243255372951432438343293576
24101626135030862312840171302140825712962532525344035731
2510402651513187441300617254215342582529735326103443035736
2611112730523389061313217420217002595929844326543445935821
2711392809533690281325817545218262611429952327393453535846
2812072849543991511342417710219522623630059328223455935911
29123529315543931 [...]1355017835221182641302632963462835936
301304301256489436137151800022245265243031232948346563600

[Page]

Tabula Ascensionum Obliquarum ad Latitudinem 52 deg. 00 min.
′°
0000012482942561194061370 [...]180922302655430343301834712
10024131630245717953013827181252242626717304543305934740
200481345317582496541395418251225522684030558331393487
31131414315059319818141201841622719270330713321934835
41371443323460399942142471854222845271263084332583492
52021512331861481019144131878230122724830963333734929
62261542343625810232145401883323138274931073341534956
72511613344964091035714761895923352754931173345235023
8315164335366520105221483219125234322765031263352935049
93401714362466321064714958192512355827810313 [...]336635116
1045174537126745108121512419417237252793031413364235142
1143018163816859109381525019542238522804931457337173528
124551848385170131114154161978240182828315523375235233
135201920394271281123015542198342414528326316473382635259
145451952403472441135615782000243112844331741339135325
15610202541267401152315854201262443728600318343393535350
166352059421975171164916002025224642871631926340835415
17712134431376341181516126204182473028832320183404035440
187262208448775211942162522054424856289473219341123555
197522243453791112181641820710250222911321593414435530
208182318455980301223516543208362514829215322483421535555
21844235446568150124216792102253132932 [...]323363424635620
229112431475483101252816835211282543829440324243431735645
239372508485384311265517012125425632955132511344183579
2410425454953855112822171272142025728297 [...]325573441835734
2510312623505487121294817252215472585329812326423444835758
261058272515688341311517418217132601829921327263451735823
2711252741525989571324117544218402614230029328103454635847
28115328215429120134817792206263630136328533461535912
291220290155692431353417835221332643030243329363464435936
3012482942561194061370018092230265543034933018347123600

[Page]

Tabula Ascensionum Obliquarum ad Latitudinem 53 deg. 00 min.
° ′
0 0001214283454469258136261800223342672305143312634746
10231241291555529423137541812622512682730620332634813
20401382957565 [...]954813922182532262926951307253324534840
31091336303958697131404918420227562711530828333243496
41321443122591498381421718547229242723830930334234932
51561432326602310041434418714230522740310313344034958
6219151325161331013014512188402321927522311313351735024
7243153033366244102561463919072334727644312303355335050
83615593422635610422148719134235152785313293362935115
9330162935865910548149341931236432792631427337435140
1035416593555662210715151119428238112804731524337393525
11417172936436736108421522919555239192827316213381335230
124411803732685111091535619722241628326317163384735255
1355183138227061113615523198492423428445318103392035319
1452919239117122113415650200162441286331933395335343
1555319344057239114321581720143245282872131955340263547
16617207405773571155915944203102465628838320473405835431
176412040415075151172616111204372482428954321383412935455
18752113 [...]24476341185416238206424951291932228342035519
19730214743397753120211645207312511829224323173423135543
20755222 [...]4436791312 [...]4916532208592524529338324534313566
218202256453 [...] [...]0341231716659210262541229451324523433135630
22845233 [...]4631815 [...]12445168262115325538296432538344135654
23910247473 [...] [...]316126131695321321257429726326243443035717
24936244 [...]82 [...] [...]438127411712021448258302982732793445935741
251022520492986012981724621616259562993732754345283584
2610282558503087221303617413217432612230046328383455635828
271054263 [...]513 [...] [...]845132417540219112624730154329213462435851
281120271 [...]523 [...]9091333117772203826412303133033465235914
2911472753534091331345917834222 [...]6265373048330453471935937
3012142834544692581362618002233426723051433126347463600

This keyboarded and encoded edition of the work described above is co-owned by the institutions providing financial support to the Text Creation Partnership. This Phase I text is available for reuse, according to the terms of Creative Commons 0 1.0 Universal. The text can be copied, modified, distributed and performed, even for commercial purposes, all without asking permission.