Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	hour_n	longitude_n	minute_n	7,500	5	12.3011	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08349	A mathematicall apendix,[sic] containing many propositions and conclusions mathematicall: with necessary obseruations both for mariners at sea, and for cherographers and surueyors of land; together with an easie perspectiue mechanicall way, to deline at sunne dyalls vpon any wall or plane giuen, be it direct, inclyning, declyning, or reclyning, for the horizon, or meridian, in any region or place of knovvne latitude. With other things pleasant and profitable for the weale publick, not heretofore extant in our vulgar: partly collected out of foreigne moderne writers, and partlie inuented and practised by the author. Written by R.N. Gent.	Norton, Robert, d. 1635.	1604 (1604)	STC 18675; ESTC S119965	19,791	52

Paralaxis abstracted 3 A Comet or the Moone appearing how to finde the paralax or difference of aspect thereof two seuerall wayes and thereby how farre it is from the Centre or Circumference of the Earth 4 The Paralax and distance from the Earth giuen to finde what Angle it will make in the Centre of the Earth with any other Star that hath no Paralax 5 To find the Longitude by a Comet or the Moone appearing and the difference of tyme from one Meridian to another by comparing it with a fixed Star A Corollarie vpon the same shewing more euident accomplishment thereof by comparing it with the true moouing of one of the Planets 6 A Starre m Heauen propounded to finde the Longitude without the difference of Tyme 7 How to finde the Longitude and Latitude of anie place at once without the difference of time by obseruation of the Coelestiall Luminaries 8 How to finde the Longitude at all times from moment to moment Mechanically And withall to describe all the places of note in a Region or Country on a Map or platte according to their seuerall distances and situations exactlie With the vse of the Protractor A Corollary vpon the same applying it to the Suruey and platting of Land Another Corollary vpon the same Consequence expressing a Mechanicall meanes to find the Longitude at Sea at all times and to keep a perfect Trauerse for a whole voyage An Annotaion shewing an artificiall deuise how the Master or Pylot at Sea may much more exactly make obseruation of the Coelestiall Luminaries with any Instrument then the ordinarie manner can possiblie admitte by reason of the heauing and setting of the Ship The making of the Cosmodelite an excellent Instrument for many Mathematicall conclusions As for the Longitude of places to take any Altitude Latitude or distance in sight for Suruey and platting of Land to make Sun dialls c. inuented by the Author How by the Cosmodelite to delineate a Sun diall on any plane giuen with great facility without arithmeticall calculation Master Robert Smith his inuention to delineat a Sun diall otherwise The making of an artificiall engine whereby with any strength giuen be it neuer so little to eleuate and lift vp any ponderous weight assigned Brief Expositions of the Geometricall and Aftronomicall tearms mentioned in this Treatise Finis Tabulae The first Proposition How to find the Longitudes of places by the daylie Declination of the Sun THe Sunne continually declyning from the AEquator according to the seuerall poynts of the Ecliptick wherein hee properly mooueth sometimes towards the South being in the Meridionall signes and sometimes towards the North Pole beeing in the Septentrionall making his greatest declination on eyther side to be 23. degrees and 28. or thereabouts doth from the noone of one day vnto the noone of the next day so sensibly vary his declination on any one Meridian as that you may easilie find how much hee declyneth from Meridian to Meridian on all the Meridians that may be imagined vpon the face of the whole earth As for example if from the noone of this day vntill the same moment to morrow he shall be found to vary one minute of a degree in his declination vpon one same Meridian imagining then 60. seuerall Meridians on the Earth equally distant one from another it is most certaine that he will make from one of those Meridians vnto the next 1 60 part of a minute which is a second difference of declination and so consequently more or lesse as the same shal happē to be beyond or short of the said Meridian Wherefore if you diuide 360. the degrees of the Equator by 60. the number of the supposed Meridians you shall finde the Quotient to produce 6. degrees the difference of the Longitude which one of them shall be from the next This may be obserued from day to day at all times of the yeare bee it that the Sunne haue greater or lesse declination then the saide minute vnder the assigned Meridian which collected into a Table will be a ready means for to find the Longitude of any vnknowne Meridian The practise to find the Longitude the Table being made is thus Hauing exactly obserued the declination of the Sunne by some perfect Mathematicall Instrument for the hower of Noone then enter the sayd Table seeking there the declination set downe for that day which beeing found the difference of the declination will shew you vnder what Meridian you obserue and are with the difference of Longitude which difference being added or subducted as reason will direct to or from the former giuen Meridian will yeelde the sought vnknowne Longitude Note that the Table may be enlarged not onelie to thirds and fowerths but vnto tenths which will be much better for the more exact expressing of his slowe declination And thus you may finde the Longitude by the daylie declination of the Sunne The second Proposition How to find the Longitudes by Arches of great Circles which passe by the Centres of the fixed Starres and such of the Planets as yeelde no sensible paralax or difference of aspect FOrasmuch as great Circles which passe by the Centres of all the Stars doe expresse in theyr Arches the seuerall distances of all the Planets and fixed Stars considered by two and two And for that the Planets in their proper mouings do ouergoe the Stars of the Firmament It must necessarily follow that their said distances do continually vary either more or lesse and the Angles also subtending them Wherefore if by Astronomicall Tables you obtaine the true place of one of the Planets hauing no Paralax and compare the same with one of the fixed Stars giuen be it Septētrionall or Meridional seeking for euery day hower and minute what Angles the same Planet shall make with the said fixed Star and of such Angles to make a Table it wil be an Artificiall preparatiue to the finding of the Longitudes of places with facility For all the Inhabitants of the Earth according to Ptolomy being in the Centre of the worlde in respect of the fixed Stars and higher Planets it is certaine that all such Stars and Planets will appeare to them all to vary theyr angles continually but chiefely when the Planet shall bee direct and that those Planets which mooue most swiftlie do yeelde more euidently such variation then the slower ♄ and ♃ The Table beeing prepared when you desire to finde an vnknowne Longitude Obserue exactly by Instrument what Angle the same Planet maketh with the saide Starre for which the said Table was made which had seek then in your said Table for the Angle calculated for that moment of time in which you make your obseruation and the difference of the Angles will giue you the difference of the Longitude if any bee between the place of obseruation sought and the place giuen for which the table was made Corollary I. Then it followeth that by the same meanes and with more euident variation of Angles wee may

But because the most of them haue beene already taught how to be performed by other instruments not so general as this I therefore presume the ingenious practiser will with so much ease apply them hereunto as it might seeme superfluous for me here to iterate the same How by the helpe of the Cosmodelite to delineate a Sunne Diall on any Plane giuen with great facility without the vse of Arithmetick PLace the Cosmodelite so vpon his foote as that it may be neere vnto the Plane or wall whereon you desire to draw your Sun Dial being se● so directly vpright by the helpe of a Plummet 〈◊〉 otherwise that the planes of the Eares thereof be 〈◊〉 perpendicular to the Horizon that done locke fa●● the saide Eares with the screw and nut Then by the Magneticall needle or otherwyse place the lyne of 12 in the Instruments great Circle directly in the Meridian lyne of that place and by the Semicircle and degrees thereof embase the North part of the same great Circle so many degrees as the North part of the Aequinoctiall is embased vnder the Horizon and so shall the plane of the great Circle be found to be in the true plane of the Aequator of the world which it heere representeth Thus all parts of the Cosmodelite being fast locked it is readily prepared to delineate a Sun Diall on any plane against which it is placed as aboue said To practise this Proposition you shall first the Cosmodelite placed according to the former directions fasten in the Centre of the great Circle a threed of 5. or six foote in length and erect the same perpendicular to the plane of the same great Circle extending it so farre as it may intersect the giuen Plane and therein note a poynt or prick which prick shall be both a Cētre to the hower lynes also the poynt from which the Style or Ostens●r for the same Diall must proceede and the same lyne so erected doth also well demonstrate vnto you the verie fiduciall edge of the Ostensor or style These things performed you haue now no more to doe for the setting ●●rth of the hower pricks in the said Plane but to 〈◊〉 the said three● straite vpon eache of the hower ●es engraued on the Instrument and to extend ●●e same forth so far at each tyme as it may touch ●nd make so many seu●rall pricks as there will fall hower lynes in that maner on the said Plane as for such howers whereon the threed beeing applyed and infinitely extended will not yet any where intersect the said Plane it is certaine that those howers cannot be found on that Plane by the shadow of the Sun All the pricks beeing so set downe on the Plane that will fall thereon you must then draw a straite lyne from the first described pricke to eache of the other pricks and those shall be the hower lynes for the same Diall truely described Then an Ostensor or Style hauing his fiducial edge and being placed according to the former instruction and the figures for eache hower set downe at the end of each of them to distinguish them one from another you shall so haue descrybed an exact Sunne Dyall Perspectiuelie Note that if in the erecting of the threed perpendicular to the plane of the great Circle it happen to bee paralell to the plane on which you haue described your Sunne dyall as aforesayde and so will no where intersect the same plane Then must the Ostensor or Style be also paralel and of such distance from the plane giuen as the perpendicular erected threed extended is Thus may you by the helpe of the Cosmodelite delineate a Sunne Diall Direct Inclyning Declyning or Reclyning on any Plane or H●rizon giuen Master Robert Smyth his intention to delineate a Sun Dialll on any Plane in any one Paralel giuen with a Instrument of sleight charge FIrst draw a Quadrant and diuide the Arch thereof into 90. equall partes or degrees and extend a straite lyne from the Centre or square angle of the same vnto the degree in the arch answering the Latitude of the paralell giuen prolonlonging the same lyne beyond the Arch or lymbe some 6. or 8. inches or more or lesse at pleasure Also extend the Base lyne of the Quadrant as farre as you thinke fit for the bignesse of your instrument and at the end of the same lyne erect a perpendicular which may intersect the first extended lyne So shall the sayde perpendicular the Base and the line drawne by the degree of Latitude describe vnto you a rectangled Tryangle Then drawe a Circle whose Dyametre may be about halfe the length of the Base lyne of the Tryangle aforesaide and diuide the Circumference of the said circle into 24. equall partes in the Centre of which Circle you shall fix a threed of 4. or 5. feete in length The said Tryangle and Circle being then cut out of some thin boord of fine grained woode and the circle let on vpon the side of the Tryangle which subtendeth the square angle so farre as that the centre of the circle may touch or exactlie ioyne to the said line ●nd the plane of the circle stand square to the said ●yne and the diuisions being distinguished Arithmetically from 12. to 12. as appeareth in the figure following The sayde Instrument is readie to performe the promised effecte in manner following The vse and practise of the said Instrument Place and fasten your Tryangle vpon or neere vnto the Plane on which you purpose to drawe the Sundiall in such manner as that the syde E F may be perpendicular vnto the Horizon and the lyne E A directly in the Meridian lyne of the place so shall the lyne A F be found to represent the Axis of the world and the circles circumference to bee exactly in the Plane of the Aequinoctiall Then haue you no more to doe but apply the threed on so many of the 24. diuisions seuerally as being infinitely extended it note in the plane giuen so many touch poynts as there can be howers found by the Sunnes shadow vpon the saide plane And drawing straite lynes from the poynt in the plane which the lyne A F of the Tryangle respects vnto eache of the saide touch poynts such lynes shall be the true hower lynes to expresse the exact hower of the day by the shadowe of an Ostensor or Style which must bee placed to carry the true forme of the said lyne A F of the same Tryangle vpon the said plane giuen Applying also the Arithmeticall characters correspondēt to those of the circle vppon the hower lynes seuerallie you shall so haue delineated a perfect Sundiall vpon the Plane giuen The making of an artificiall Engine whereby with a small strength giuen you may lift vp any ponderous weight assigned WHen Hieron King of Sicilia had builded a a Ship of such admirable greatnesse to present vnto Ptolome King of Aegypt as that al the inhabitāts of Syracusia were not able by any meanes