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A64474 A light to the longitude, or, The use of an instrument called the seaman's director speedily resolving all astronomical cases and questions concerning the sun, moon, and stars : with several propositions whereby sea-men may find at what meridian and longitude they are at in all parts of the world : published for the advance of navigation / by Robert Theaker. Theaker, Robert. 1665 (1665) Wing T844; ESTC R1274 25,756 42

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that upper Moving Plain and the other parts of this Moving Meridian or Index which are beyond or without the Graduated parts serveth to cut the Circle of Months the hour-Circles and Equinoctial described on the fixed or lower Plain as the Case shal require Lastly there is placed upon this Upper Sphere or Moving Plain a Turning Horizon in the Centre being to draw all Pannoles thereupon and may be fitted for any Latitude required having two Indexes thereunto belonging the Longer Index to be applied for the Rising or Setting of the Sun when he is in the Northern Signs or for the Southing Rising and Setting of the Northern Stars and the shorter Index is to be applied to the Meridian for the Rising Setting and Southing the Southern Stars or for the Sun when the Sun is in the Southern Signs These are all the parts of this Instrument described on the lower fixed Plain representing the Terrestrial Globe as also the Moving Upper Sphere or Plain representing the Celestial Globe which being well understood and rightly applyed will perform many excellent things in Navigation and Astronomy Having the day of the Month known To find the Sun's Declination his place Sign and Degree in the Ecliptick and his right Ascension in Degrees and Minutes or in Hours and Minutes THese propositions are all readily wrought by this Instrument by the Circles described on the uppermost plain representing the Celestial Globe and by the outwardmost hour-Circle in the lower plain representing the Terrestrial Globe between the Equinoctial and the Center which is the Pole of the World first then I say turn the uppermost Sphere being the Celestial Globe untill ♈ Aries there agree with ♈ Aries in the lowermost Shere representing the Terrestrial Globe then bring the moving Meridian or Index to the day of the Moneth wherein you desire to know any of these several propositions and you will then find that the distance at that time in the upper plain betwixt the Equinoctial the Ecliptick reckoned in the moving Meridian or Index is the Sun's declination and the point or place cut in the Ecliptick at the same time by the same moving Meridian or Index sheweth the Sign Degree and Minute that the Sun is in at that time And the Degree and Minute then cut in the Equinoctial by the same moveing Meridian or Index sheweth the Sun 's right Ascension in Degrees and Minutes and then in the outwardmost Hour-Circle on the lower plain the same moving Meridian or Index sheweth the Sun 's right Ascension in time or Hours and Minutes So the 23d day of February you will find by this Instrument that the Sun hath 6 Degrees South declination his place and Sign in the Ecliptick 15 Degrees of ♓ Pisces one of the Southern Signs his right Ascension in Degrees 346 Degrees whose complement to a whole Circle is 14 Degrees the distance from ♈ Aries the next Equinoctial point and the time of the Sun 's right Ascension is in Hours and Minutes 23-4 and the complement from ♈ Aries in time is 56 Minutes So in the same manner the 20th day of Aprill if you desire to know the Sun's Declination his place Sign and Degree in the Ecliptick his right Ascension in Degrees and Minutes as also in Hours and Minutes fix this Instrument in all respects as before making ♈ Aries in the upper plain and ♈ Aries in the lower plain to stand right against each other and then bring the moving Meridian or Index to the 20th day of Aprill and you will then find the Suns declination is 15 degrees North his place in the Ecliptick 10-8 Degrees eight Minuts of ♉ Taurus his right Ascension in Degrees from Aries the next Equinoctial point is 38 degrees which in time is 2-32 Hours thirty two Minutes as appeareth in the outwardmost hour-Circle in the lower plain where the moving Meridian cutteth So the 31day of May you will find the Sun's declination 23-10 Degrees and ten Minutes North his place in the Ecliptick 19-50 nineteen Degrees and 50 Minuts of ♊ Gemini his right Ascension 78 Degrees from ♈ which in time is 5-12 Hours and twelve Minutes as appeareth in the lowermost outward hour Circle and so in the same manner all sorts of propositions of the like Nature Note all these five propositions that is to say the Sun's declination the Sun's place the Degree and Sign which the Sun is in every day the Sun 's right Ascension in Degrees the Sun 's right Ascension in Hours and Minutes are all answered at one operation only by bringing the moving Meridian or Index to the day of the Moneth which is an exceeding great dispatch and will prove very profitable in Astronomical practices The Sun's place in the Ecliptick being known to find the Hour and Minute of the Sun 's Rising or Setting any day of the Year THe Sun's place being found by this Instrument as hath been formerly taught bring the longest Index of the Horizontal plain having nothing but the pannage there on graduated unto 12 a clock in ♈ Aries hour-Circle the same Index then cutting 20 Degrees of longitude in the lowermost plain the longitude of the City of London and there keep that Horizontal Index fast and then turn the upper moving plain representing the Celestial Globe untill the place of the Sun in the Ecliptick come exactly to the plain Horizon at which edg inter●ecting or touch point keep the Ecliptick farst and then bring the moving Meridian or Index to that intersection made by the meeting of the Sun in that point in the Horizon and then at that time in the East Hemisphere in ♈ Aries hour-Circle you will find the moving Meridian doth there cut the Hour and Minute of Sun rising and in the West Hemisphere the other end of the moving Meridian in ♈ Aries hour-Circle doth at the same time shew the Hour and Minute of Sun Setting also at the same time the moving Meridian will shew the Sun's declination in the moving Meridian and day of the Month in the Circle of daies and Months whether the Sun be either in any of the Northern Signs or Southern Signs So the Sun being in the first Minute of ♉ Taurus bring the longest Index of the Horizon to 12 Hours and 20 Degrees in the lowermost fixed plain and there keep that Index fast then turn about the upper moving Sphere untill the first Minute of ♉ Taurus in the Ecliptick intersect touch or joyneth with the edge of the plain Horizon and there hold all fast together and then bring the moveing Meridian or Index to that point or intersection in the Horizon one end in ♈ Aries hour Circle in the East Hemisphere will shew the Sun Riseth then at 5 a clock in the Morning and the other end at the same time in the West Semicircle of the Sphere in ♈ Aries hour-Circle will shew the Sun then Setteth at 7 a clock in the Afternoon Note when you would know the time of Sun Rising you must
there be any one that desireth to be more fully instructed in the use of this Instrument they may repair unto Charles Saltonstall Publick Professor and Teacher of the Mathematicks living neer the Postern-gate on East-Tower-hill who will satisfie their desires The full Description of an Instrument lately Invented by Robert Theaker but now upon his request explained and the manifold Vses thereof written for the general good by Charles Saltonstal Professor and Practitioner of the Mathematick neer the Postern-gate on East-Tower-hill THIS Instrument consisteth of two Plains the lowermost representeth the Terrestrial Globe and standeth fix'd and is not to be removed at all and thereupon is delineated and drawn three distinct hour Circles the outwardmost Circle is divided into 24 Hours ending at ♈ Aries and numbred into the East with 1 2 3 4 c. until the whole Circle be counted round about to 24 hours ending again at ♈ Aries where it first began In this hour Circleis reckoned the right Ascension of the Sun ot fixed Stars according to time or in Hours and Minutes The next or second hour Circle I call ♈ Aries hour-Circle because ♈ Aries stands there betwixt 24 hours in the outward hour-Circle and 12 hours in the inward or third hour-Circle and this hour-Circle is numbred from 12. of the Clock at Noon the Meridian of London into the West with 1 2 3 4 c. to 12 of the Clock at Night and from thence back again with 1 2 3 4 c. to 12. of the Clock at Noon the Meridian of London where it first began now in this hour-Circle is reckoned the time of Sun-Rising or Setting the hour of any fixed Stars Rising or Setting and coming to the Sorth as hereafter in the use of this Instrument will more evidently appear The third hour-Circle beginneth at ♈ Aries with 12 of the Clock the beginning and ending of all Longitude in the Equinoctial where is also placed 360 degrees and is numbred into the West with 1 2 3 4 c. to 12 of the Clock and from thence back again with 1 2 3 4 c. to 12 of the Clock where it first began ♈ Aries In this Circle is reckoned the difference of time as hereafter will amply appear The next and innermost Circle drawn upon this fixed Plain representing the Terrestrial Globe is the Equinoctial beginning and ending at ♈ Aries with 360 degrees Numbred into the East with 10 20 30 c. until it be counted round about and then concludeth again with 360 degrees where it first began the beginning and ending of all Longitude upon the Earth Then upon this lower fixed plain representing the Terrestial Globe there are drawn at every tenth degree from the Equinoctial straight Lines all meeting in the Centre which is here in this Projection counted the Pole of the World then from that Centre or Pole at every ten degrees Latitude or Breadth from the Equinoctial there is drawn a Concentrick Circle which are numbred by Tens from the Equinoctial in this manner 10 20 30 40 c. concluding with 90 degrees in the Centre or Pole all graduated upon a moving Meridian turning about in the Centre which is here counted the Pole of the World by which means the Latitude of all places upon the Terrestial Globe are readily discovered and made known Then there are also two small Protractors represented containing the 32 points of the Compass upon this fixed Plain which may be made of Brass Horn or Pastboard at pleasure by which means all Courses and Bearings betwixt place and place according to the Terrestrial Globe thus projected in Plano wherein you may readily find the Latitude Longitude Course and Distance betwixt any two places howsoever situated upon the Terrestrial Globe And by the Application of the upper Moving or Turning Plain representing the Celestial Globe many excellent Matters Operations and Conclusions in Astronomy are readily performed and plainly demonstrated according to the Motions of the Heavens as will be hereafter amply manifested The Description of the Vpper Moving-Sphere or Plain representing the Celestial Globe IN this Upper Moving Plain or Sphere upon the outward edg there is drawn the Circle of Months numbred by tens contrary to the Diurnal Motion placing alwayes the tenth day of March at ♈ Aries by which means you may there find any day of the year you desire and so know the exact time of the Sun or Stars Rising Setting and coming to the South as hereafter will amply appear The next and innermost Circle described upon that uppermost Moving Plain or Sphere is the Equinoctial Circle Numbred by 10 degrees 20 30 40 c. into the East until you count round about to ♈ Aries again and there end and finish with 360 degrees where you first began in the same manner as the Equinoctial is numbred and described on the lower fixed Plain And from this Equinoctial is reckoned the Sun or Stars Declination upon another moving Meridian called an Index placed and turned about in the Centre of this upper moving-Plain as hereafter in use will facilly appear Then upon this upper Moving Sphere or Plain there is described the Ecliptick Circle being the path-way of the Sun and is numbred from ♈ Aries in the Northern Signs with 10 degrees 20 degrees and then 30 degrees and then beginning again from ♉ with 10 degr 20 degr then 30 degr and so in the same manner numbring again from ♊ Gemini 10 degrees 20 degrees and 30 degrees to ♋ Cancer attributing and allowing to each Sign 30 degrees and so in the same manner are the Southern Signs numbred beginning from ♎ Libra with 10 degrees 20 degrees and then 30 degrees and then beginning again from ♏ Scorpio with 10 degrees 20 degrees and then 30 degrees c. reckoning still on in the same manner until you have counted round about and return again to ♈ Aries where you first began keeping the same order as you did in the Northern Signes allowing 30 degrees to each Sign And on this Moving Plain there is also a smaller Circle described representing the Tropicks of ♋ Cancer and ♑ Capricorn touching the Ecliptick in the first minute of ♋ Cancer and ♑ Capricorn Cancer shewing that the Sun 's greatest Declination North is 23 degrees 30 Minutes and ♑ Capricorn sheweth the Sun's greatest declinations South is also 23 degrees and 30 minutes the Tropicks only shewing the turnpoints in the Ecliptick as the word signifies declaring and setting bounds to the Sun 's greatest Declinations North or South not to exceed 23 degrees 30 minutes but must then turn back again There is also belonging to this moving Plain representing the Celestial Globe a Moving Meridian I call an Index graduated both wayes from the Equinoctial numbred with 10 degrees 20 30 40 c. concluding with 90 degrees in the Centre or Pole of the World and the whole graduated Moving Meridian is exactly in length equal to the Diameter of the Equinoctial described on