Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	degree_n	hour_n	longitude_n	5,383	5	13.5790	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A68509	The newe attractiue Containyng a short discourse of the magnes or lodestone, and amongest other his vertues, of a newe discouered secret and subtill propertie, concerning the declinyng of the needle, touched therewith under the plaine of the horizon. Now first founde out by Robert Norman hydrographer. Heerevnto are annexed certaine necessarie rules for the art of nauigation by the same R.N.	Norman, Robert, fl. 1590.; Borough, William, 1536-1599.	1581 (1581)	STC 18647; ESTC S112416	31,726	60

whole sine and diuide the product by the sine of the eleuation of the Equinoctiall whiche is the meridian altitude the quotient giueth the seconde right sine of the distance of the Sunne frō the meridian whiche is the first right sine of the complement of the same arke And entryng the table of sines with it you shall finde his arke whiche if you subtract frō the quadraut or 90. d. leaueth the arke of the distance of the Sunne from the meridian And hauyng the same work thus If the sine of the complement of the eluation of the Sun at the tyme of the obseruation giue the sine of the forsaid arke of distance what shall the whole sine giue Multiplie and diuide the quotient shalbe the sine of the ark of the Horizon contayned betweene the Azimuth of the Sunne and the meridian Which arke being compared with the variation of the Instrument in maner as before is shewed giueth the variation required But the Sunne beyng in the Equinoctiall if the place where the obseruation is made bee likewise vnder the same circle then is the variation most easely obserued for that the Equinoctiall is the Azimuth of East and West therfore turnyng your Instrument onely to receiue the shadowe of the Sunne and looking then to the North poinct of the Needle if you finde the same to aunswere to the quadrant or 90. d. you shall be in the meridian of the Magnes whiche passeth by the Poles of the world but if it doe differ from 90. d. the same difference is the variation of the Needle But admittyng the obseruer to be vnder the Equinoctiall and the Sunne to haue declination then the proportion of the sine of the complement of the eleuation at the tyme of the obseruation vnto the sine of the declination shalbe suche as the whole sine is to the sine of the arke of the Horizon included betweene the Azimuth of East and West which is the Equinoctiall it self and the Azimuth of the Sunne for the tyme of the obseruation the complement whereof giueth the true meridian whiche complement you maie compare with the variation shewed vpon the Instrument the difference is the variation Diuers other cases might bee proposed and rules giuen for them whiche for breuitie I omit But one thyng I thought good to admonishe you by the waie that whereas I haue shewed in the first part of this proposition the maner to finde the two versed sines the one of the Semidiurnall arke the other of the arke of the distance of the Sunne from the meridian By the first the Semidiurnall arke being found and 〈◊〉 into houres and minuts of time is shewed the iust 〈◊〉 quantitie of the daie And by the arke of the other likewise reduced the houre of the day or the tyme contained betweene the noonsteed and the instant of the obseruation As in the same example The versed sine of the Semidiurnall ark LS. is giuen 70386. in suche parts as the Semidiameter of the Equinoctiall BD. is 100000. therefore I reduce the same into such parts as the Semidiameter of the parallel LF is 100000. and finde it to be 72095. which subtracted from the whole sine LF 100000. there resteth SF 27905. whiche is the second right sine of the Semidiurnall ark LR and the right sine of RH 16. d. 12′ whiche is the complement of the Semidiurnall ark LR wherefore subtractyng it from the quadrant LH or 90. d. resteth 73. d. 48′ the Semidiurnall ark LR the same reduced into partes of tyme allowyng 15. d. for an houre 15′ for a minut and 15″ for a seconde of tyme and for euery degree 4. minuts of tyme for euery minut 4″ and for euery second 4″ c. I finde the time of that ark from the poinct ascendent to the meridian whiche is halfe the day to bee 4. houres 55′ 12″ and consequently the whole day beyng the 16. of October aboue written to be 9. houres 50′ 24″ long This example maie serue for a generall precedent whiles the Equinoctiall is betweene the Sunne the eleuated Pole but if the Sunne be between the eleuated Pole and the Equinoctiall then will the versed sine fall out to be greater then the whole sine and the Semidiurnall arke to exceede a quadrant Wherefore hauyng reduced the same into his proportionall parts as before is shewed subtract from it the whole sine the surplus is the sine of the excesse of the Semidiurnall arke aboue a quadrant whiche beyng added to the quadrant giueth the Semidiurnall arke By the other versed sine of the distance of the Sunne from the meridian which is LK 23952. in such parts as the whole sine or Semidiameter LF is 100000. subtracted from the whole sine is giuen KF 76048. the second right sine of the same ark of distance and the first right sine of 49. d. 30′ 24″ which is the complement of the ark of the Sunnes distance from the meridian therefore subtractyng the same from 90. d. resteth 40. d. 29′ 36″ the arke of the distance betweene the Sunne and the meridian which beyng reduced into partes of time as before giueth 2. houres 41′ 58″ and the same because it is in the fornoone deducted from 12. houres the noonsteed resteth 9. houres 18′ 2″ the iust instant of the tyme of the day But if this versed sine be found to be greater thē the whole sine as it maie when the Sunne is betweene the Equinoctiall and the eleuated Pole and before the houre of sixe in the mornyng and after the houre of sixe in the euenyng then doth the arke of distance consequently exceede a quadrant the sine of this excesse is the surplus of the versed sine aboue the whole sine Whose arke added to the quadrant giueth the arke of the Sunnes distance from the meridian and reducyng the same into parts of tyme is giuen the instant of tyme of the obseruation As by this meanes the eleuation of the Sunne being precisely obserued and Latitude knowen the instant of time of y e daie is giuen more exactly then by any Clock Diall or other Instrument So if there might be had a portable Clocke that would continue true the space of 40. or 50. houres together if longer tyme the better then might the difference of longitude of any two places of knowen Latitudes whiche conueniently may be trauelled within that time be also most exactly giuen And in this sort trauelling and obseruing from place to place might the longitudes of any Countrey be perfectly described ¶ An other way most generall how to finde the Variation by one obseruation either in the fornoone or afternoone the eleuation of the Pole and declination of the Sunne beyng giuen ¶ The sixt Chapter FOR the accomplishyng of this proposition you are to imagine a sphericall triāgle vppon the superficies of the Globe whose sides must be First the portion or arke of the meridian betweene your Zenith and the Pole whiche is the complement of the