A plain declaration of the vulgar new heavens flatform serving not onely fore this age, but also fore the future age of 100 years. Halley, Edmond, 1656-1742. 1679 Approx. 18 KB of XML-encoded text transcribed from 3 1-bit group-IV TIFF page images. Text Creation Partnership, Ann Arbor, MI ; Oxford (UK) : 2009-03 (EEBO-TCP Phase 1). A45349 Wing H452 ESTC R39228 18283100 ocm 18283100 107300

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 Early English books online. (EEBO-TCP ; phase 1, no. A45349) Transcribed from: (Early English Books Online ; image set 107300) Images scanned from microfilm: (Early English books, 1641-1700 ; 1635:8) A plain declaration of the vulgar new heavens flatform serving not onely fore this age, but also fore the future age of 100 years. Halley, Edmond, 1656-1742. 4 p. s.n., [London? : 1679] Attributed by Wing to Halley. Date of publication suggested by Wing. Reproduction of original in the British Library.

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 eng Astronomy -- Observations -- Early works to 1800. Sun -- Observations -- Early works to 1800. Dialing -- Early works to 1800. 2008-04 Assigned for keying and markup 2008-06 Keyed and coded from ProQuest page images 2008-07 Sampled and proofread 2008-07 Text and markup reviewed and edited 2008-09 Batch review (QC) and XML conversion
A plain DECLARATION of the vulgar new HEAVENS FLATFORM. Serving not onely fore this Age, but alſo fore the future Age of 100 years.

HEre you are at firſt to knowe, that the motion of the Sun and the time do alwayes concur, and therefore is the one the meaſure of the other. Fore by the Time is to be knowne the place of the Sun, and again by the Suns place you may knowe the Time: therefore you muſt either knowe the Time or the place of the Sun, both of them you may eaſily find in the Heavens-Flatform, do but lay the dial A or B on the deſired day of the yeare and ſee then what degree the dial doth touch upon the Sodiack, and you wil find the thing deſired.

I. EXEMPLE. How to knowe at anny time of the yeare in what Degree of the Sodiack the Sun is.

• y Exemple on the firſt day of May, lay the dial A upon the ſuid day, and ſee what degree the dial doth cut upon the Sodiack, you wil finde it to be the 12th of Taurus being the place of the Sun.

II. EXEMPLE. How at anny time to knowe the riſing and going under of the Sun.

Suppoſe it be the 24th. of May, then you muſt lay the dial on the ſaid day, and ſee where it cuts the Sodiac, there you muſt make upon the dial a ſigne of chalck or anny thing elſe that may eaſily be rubbed out, which ſigne demonſtrates the Sun, turn then the dial firſt ſo long to the Eaſt-ſide of Heaven, til the ſaid ſigne comes to touch the crombe Horizon, ſee then without upon what houre and minute the dial doth lye on the houre cirkle, you wil find the Suns riſing at 4 a clock in the morning, and if you turn the ſaid point to the Weſt-ſide of Heaven upon the Horizon, then you wil ſee the dial to lye upon 8 a clock in the evening, being the going under of the Sun, then you wil alſo ſee that the Sun riſeth then 36 degr. 30 minut. from the Eaſt to the Northward, and by conſequence ſo manny Degrees and min. leſſe from the Weſt to the Northward.

III. EXEMPLE. Hou you may ſee in the Night by the Starrs what time it is,

Suppoſe you doe but ſee anny acquainted Starre to riſe or ſtand in the S. N. E. or Weſtward, let it be the three Kings ariſing the firſt day of October, in the night, and that by it you would knove how late it is; then you muſt lay the dial A on the ſaid day, and the dial B over the 3 Kings, and give then a ſigne upon the dial B over the 3 Kings, then you muſt firmly turn both dials alike to the Eaſtward, til the ſaid ſigne upon the dial B doth cut or touch the Horizon, and ſee then upon what houre and minute the dial A lieth, you'l find it to be 11 a clock in the evening, beingh the right time of the night.

I. PROBLEME. How you may upon every Poles higth find the riſeing and going under of the Heavens lights after you have taken the Poles higth, and the declination or anny aquainted Starres.

You muſt place one foot of the Compaſſis in the Centrum of the Heavens-Mirrour, upon the Dial A, and the other downewards, as far as the Degree of the Declination of the Sun or Starres; with this opening of the Compaſſis you muſt place the one foot upon the edge-ſide of the dial A upon the complement of the Poles higth which you have taken; and ſlide the dial A towards 6 a clock, (or to the dial B which may be laid along by 6 a clock (or the edge-ſide of the dial B.) See then how in anny degrees the dial A lieth upon the houre-circkle from 6 a clock, which wil be the true breadth of the riſing and going under of the Sun or Starres.

I. EXEMPLE.

Deſiring to knowe on the 21th. of June, where the Sun riſeth and goeth under, being beginning of Cancer, on the Poles heigth of 52 degrees. Then you muſt place one foot of the Compaſſis in the Centrum of the dial A, and the other downewards as far as on 23 degr. 30 min. being then the Declination of the Sun; with this opening of the Compaſſis you muſt place one foot on the edge-ſide of the dial A upon the Complement of the Poles heigth, being 38 degr. then you muſt turn the dial A towards 6 a clock, til the other foot of the Compaſſis comes triangularly to touch the lin. of 6 a clock. See then how manny degrees the dial A lieth off from 6 a clock. You'l find it to be very neare 40 degr. 20 min. And ſo far doth the Sun then riſe from the E. to the N. upon each Northern breadth of 52 degr. and goeth likewiſe 40 degr. 20 min. under from the W. to the Northward. And if the Sun be in the firſt degr. of Capricornus, then it is juſt the ſame.

II. EXEMPLE.

Deſiring to know on the Northern breadth of 50 degr. how manny degrees the Southern Ey of the Bul called •• debaran riſeth from the E. to the N. Fore the doing of it, you muſt place one foot of the Compaſſis in the Centrum, 〈◊〉 the dial A, and the other as far as the Declination of Aldebaran being 16 degrees, with this opening of the Compaſſis you muſt place one foot upon the complement of the Poles heigth of 40 degrees, on the dial A, then you muſ • turn the ſaid dial til the other foot of the Compaſſis comes triangularly to touch te line of 6 a clock. See then how manny degrees the dial A lieth off from 6 a clock, you'l find verry neare 25 deg. 20. min. And ſo manny d • g. doth Aldebaran then riſe from the E. to the N. it doth alſo go under 25 deg. 20 min. leſſe from the W. to the N.

III. EXEMPLE.

Deſiring to knowe on the Southern breadth of 20 degr. how many degrees the Spica Virginis riſeth from the E. 〈◊〉 the S. and that, becauſe the declination of Spica Virginis is Sourhly. You muſt place one foot of the Compaſſis in the Center of the Dial A, and the other downewards as far as on 9 degr. being the declination of Spica Virginis, with this opening you muſt place one foot of the Dial A upon the complement of the Poles higth of 70 degrees, then you muſt turn the Dial A from the E. to the S. till the other foot of the compaſſis comes triangularly to touch the Eaſt line or the line of 6 a clock. See then how manny degr. the Dial A lieth off from 6 a clock, you find verry neare 10 degr. and ſo far doth S. Virginis from the E. to the S. and goeth like wiſe ſo far unter from the W. to the S.

II. PROBLEME. How to find the riſing and going under of the Sun, or of anny acquainted Starrs, and that upon every Poles higth.

Place one foot of the Compaſſis in the center of the dial B, and the other downeward, along by the Edge-ſide as far as on the degree of the Declination of the Sun or Starrs, with this opening of the Compaſſis you muſt place one foot on the edge-ſide of the dial B upon the Complement of the Poles heigth, add ſlide the Dial B from the E. to the N. or S. til the other foot comes triangularly to touch the line of 6 a clock. Then you muſt ſee o • what houre and min. the dial B lieth, which is the true time of the Suns riſing, which you may alſo being to the going under.

I. EXEMPLE.

Deſiring to knowe the riſing of the Sun, on the N. breadth of 25 degr. being the 21th. of June, when the Suns Declination is Northly 23 degr. 32 min. you muſt place one foot of the Compaſſis in the Centrum of the dial B, and open the other foot douwnewards as far as on 23 degr. 32 min. with this opening of the Compaſſis you muſt place one foot on the edge-ſide of the dial B upon the Complement of the Poles hitgh of 38 degrees, ſliding the dial B from the E. to the N. til the other foot of the Compaſſis comes triangulary to touch the line of 6 a clock. See then upon what houre and min. the dial B lieth on the houre circkle, you'l find it to be in the morning at 5 a clock 15 min. being the right ti •• of the Suns riſing, the ſame is in the evening at 8 a clock 15 min. the Suns going under.

II. EXEMPLE.

Deſiring to knowe on the Southern breadth of 40 degr. being on the 21 of June, at what time the Sun doth there riſe. Then you muſt place one foot of the Compaſſis in the Centrum of the dial B, and the other foot downewards, as far as on 23 deg. 30 min. being at the ſaid time the Declination of the Sun, with this opening you muſt place one foot of the Compaſſis on the dial B upon the complement of the Poles higth of 50 degr. and turn the dial B from the E. to the N. til the other foot of the Compaſſis comes triangularly to touch the Eaſt line of 6 a clock, ſee then upon what houre and min. the dial B lieth, you'l find neare enough in the morning 17 houres 30 min. being there the riſing of the Sun, the ſame is its going under in the evening at 4 a clock 35 min.

Nota. You muſt knowe that if you wil, uſe the Heavens Flatform over the South-ſide of the Equinoctial Line, then you muſt take the houſe contrary to that as they are ſigned upon the Heavens Mirrour, fore that which is over the North-line 4 a clock in the morning, the ſame is Southly from the line 8 a clock in the morning, and ſo is the reſt accordingly.

III. EXEMPLE.

Deſiring to knowe on the Northern breadth of 40 degrees, being the firſt of Auguſt, what time the great Dog Syrius ſhal riſe. Lay the Dial B over Syrius and the Dial A upon the firſt of Auguſt, then you muſt place one foot of the compaſſis upon the Center of the Dial B, and open the other as far as on 16 degr. 15 min. being the declination of Syrius, with this opening you muſt place one foot the compaſsis on the Dial B, upon the complement of the Poles higth of degrees. Then you muſt firmly turn both Dials alike from the E. to the S., till the other foot of the compaſſis comes triangularly to touch the Eaſt line of 6 a clock. See then upon what houre and minutes the Dial lieth, you'l find neare enough 4 a clock 42 minutes. Fore to find its going under, you muſt firmly turn both dials alike from the Weſt to the Southward til the other foot of the compaſſis comes triangularly to touch the Weſt line of 6 a clock, ſee then upon what houre and min. the Dial A lieth, you'l find 2 a clock 48 minutes.

III PROBLEME. How to find at al ſet times the Declination of the Sun upon the Heavens mirrorr. Which is indeed verry proffitable for al Sea men, fore it ſerves not onely fore this preſent Age, but alſo fore the future Age of 100 years; when al Books that are made fore that purpoſſe shal be of no worth.

Fore to find the Declination of the Sun upon the Heavens-Mirrour, you muſt knowe that the Suns place is there ſet according to the two Jears, before and after the Leape-yeare, and that eſpecially upon the future Age, which doth almoſt differ a whole degree in the Sodiack with this preſent Age to the yeare 1700, and in the Suns Declination in March and September about 24 minutes. So that al Tables of the Suns Declination which are reckened out with ſuch a difficult calculation, ſhal after the yeare of 1700 be of no uſe or worth to a • ny Seaman; becauſe the yeare of 1700 muſt be a common yeare. Deſiring then to knowe the Declination of the • un upon ſome certain or ſet day in this preſent Age, then you muſt alwayes lay the dial A one daye farther then the ſet day, and in the ſecond yeare after the Leap-yeare you muſt lay the dial upon the midſt of the day, but being the third yeare after the Leape-yeare, then you muſt lay the dial A on the firſt fourth part, being in the Sodiack about 15 min. backward.

But being the firſt yeare after the Leap-yeare, then you muſt lay the dial upon the third fourth part of the day, being verry neare 20 min. farther in the Sodiack, then in the third yeare.

And when it is a Leap-yeare, then you muſt lay the dial A upon the beginning of the day, til to the 28 of February; but being after the 28 of February, then you muſt al the yeare along lay the dial A upon the end of the day. And if you do truely underſtand and perform this, then you wil at al times knowe the Declination of the Sun ſo perfect and exactly, as the Navigation requires. This is the Head thing I have to ſay of my Heavens-Mirrour.

I. EXEMPLE.

Deſiring to knowe the Suns Declination on the 30th. day of April 1691 or 95 being the third yeare after the Leap-yeare, then you muſt lay the dial A upon the firſt of May, to wit upon the fourth part of the parck of that day. See then where the Dial dath cut or touch the Sodiack, you find it to be verry neare the 10th. degr. 15 min. (being at the • ame time the true place of the Sun) that is 40 degr. 15 min. of ♈. Farther you muſt lay the Dial A over the 40 degr. 15 min. off from ♈., in the degrees of the Equinoctial or houre cirkle, then you muſt place one foot of the Compaſſis on the dial A upon the greateſt Declination of the Sun, being 23 degrees 32 min. then you muſt open the other foot of the Compaſſis towards the Line of 6 a clock, to come triangularly with this opening of the compaſſis. Then you muſt place one foot of it in the Center of the Dial A, and turn the other downewards, and ſee where it falls, you find it to be verry neare 14 degrees 55 minutes, being at the ſaid time the Suns Declination.

II. EXEMPLE.

Deſiring to knowe the Suns Declination on the 30th. of April 1688 or 92. being the firſt yeare after the Leap-yeare. Then you muſt lay the dial A on the firſt of May, upon the utmoſt of the days parck, ſee then where the dial A doth cut the Sodiack, you find it to be verry neare the eleventh degree of Taurus, being the true place of the ſet time, that is 41 degrees of ♈. Then you muſt further lay the dial A on 41 degrees of ♈. as before, and place one foot of the Compaſſis on the dial A upon the greateſt Declination of the Sun, being 23 degr. 32 min. then you muſt open the other foot of the Compaſſis, til it comes rect-angularly to touch the Line of 6 a clock, with this opening of the Compaſſis, you muſt place one foot of it in the Center of the dial A, and the other you muſt turn downewards, ſeeing upon what degree and minute it falls, you'l find it to be verry neare 15 degr. and 10 min. being at the ſet time the true Declination of the Sun, differing litle or nothing with the wiſe and artificial calculation, do ſo at al other times, til to the yeare of 1700, but after that time you muſt lay the dial upon the ſet day, conſidering that this uſe is principally (as I told you) practiſed and formed upon the future Age, where upon we ſhal alſo give ſome exemples, which alſo wil ſerve fore the better underſtanding of the former.

III. EXEMPLE.

Deſiring to knowe the Suns declination on the 30th day of April 1706. being the ſecond yeare after the Leape-yeare. Then you muſt at the ſame time lay the Dial upon the midle of the parck of the ſaid day, and ſee where the Dial A doth toutch the Sodiack, you'l find it to be verry neare the 9th degree and 30th minute of Taurus, being at the ſaid time the true-place of the Sun, differing almoſt a whole degree with the Yeare of 1686, fore the Sun is 39 degr. 30 minut. of ♈ Then you muſt further place the Dial A on 39 degrees 30 minutes of ♈. upon the Dial, in the ſame manner as I told you before, and then you muſt place one foot of the Compaſſis on the Dial A upon the greateſt declination of the Sun, being 23 degrees 32 min., then you muſt open the other foot of the Compaſſis, till it comes triangularly to toutch the Line of 6 a clock: with this opening you muſt place one foot of Compaſſis in the Centrum of the Dial A, and the other downewards, ſee then on what degre and minute the foot ſtands, you'l find it to be verry neare 14 degrees 42 minutes, which is on the ſaid 30 day of April about noon, the declination of the Sun, differing alſo in the Suns declination with the Yeare of 1686 almoſt 18 min. So that by this exemple you may ſee that al Boocks and Tables ••••• ning this matter which are formerly made, wil altogether be in vain, and of no vallue, as ſoon as ever the Yeare of 1700 begins.

IV. EXEMPLE.

Deſiring to knowe the Suns Declination in the yeare of 1710. whe the Sun is in the 18th. degr. of ♌. Then you muſt lay the dial A upon the 18 degr. you'l alſo ſee that the dial doth then lie on the eleventh day of Auguſt, about on the third fourth part of the parck of that day, being in the evening about 6 a clock. Then you muſt further lay the dial A upon the 42th. degree, from ♎. to Cancer upon the houre circkle, being on the 18th. degree of ♌, then you muſt place one foot of the Compaſſis on the dial A upon 23 degr. 32 min. as before, en then you muſt open the other foot, rectangularly unto the Line of 6 a clock, with this opening you muſt place one foot of the Compaſſis in the Centrum of the dial A, and then you muſt turn the other foot downewards, and ſee on what degree and minute it falls, you'l find it to be verry neare 15 degr. 30 min. being at the ſaid time the Declination of the Sun.

FINIS.