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	minute_n	pole_n	4,710	5	12.3043	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A00538	Horologiographia The art of dialling: teaching an easie and perfect way to make all kinds of dials vpon any plaine plat howsoeuer placed: vvith the drawing of the twelue signes, and houres vnequall in them all. Whereunto is annexed the making and vse of other dials and instruments, whereby the houre of the day and night is knowne. Of speciall vse and delight not onely for students of the arts mathematicall, but also for diuers artificers, architects, surueyours of buildings, free-Masons and others. By T. Fale.	Fale, Thomas, fl. 1604.; Hondius, Jodocus, 1563-1612, ill.	1593 (1593)	STC 10678; ESTC S101825	62,810	140

m. Distance of the Substile and the Meridian 6. d. 35. m. Distance of the Stile and Substile 4. d. 15. m. Eleuation of the Pole 52. d. Hetherto we haue taught the delineation of all kindes of Dials which are to be made vpon any plaine plat or superficies now followeth the garnishing of them with the 12. Signes and the howres vnequall How to draw the 12. Signes in all kindes of Dials before mentioned CAP. 22. FOr somuch as sometime the 12 signes of the Zodiake are placed in Sunne Dialls know in what signe y ● Sunne is at any time which albeit any kinde will receiue yet most commonly the verticall directly opposite to y ● South are garnished therewith Therefore in drawing the 12. Signes in these South and all other kindes of Dialls before mentioned doe thus Prepare a little Table of Iron Brasse or close grained wood in breadth 3. or 4. in length 5. or 6. inches Chose for the Diameter one of the shortest sides wherein draw vpon the centre A. halfe a circle to be deuided into two quadrants distinguished with a line drawen from the centre A. to the arke B. parte ech quadrant into 90. degrées The line A. B. is héere in place of the Equator shewing in the arke the beginning of Aries and Libra Moreouer how to finde the other Signes on both sides séeke in the Table of the declination of the Sunne from the Equinoctial circle which is afterward expressed First finde out the degrées of the distance in this Table of the beginning of Taurus from the Equator being 11. degrées 30. minutes Account this distance in the quadrant from the letter B. towards the left hand and at the end of this number draw a line from the centre A. which shall shew the beginning of Taurus and Virgo Account like wise the same distance on the other side from the line A. B. and make a line for the beginning of Pisces and Scorpius Againe in the 20. d. 12. m. from the line A. B. you shal haue the beginning of Gemeni Leo and so many degrées and minutes on the other side the beginning of Aquarius and Sagittarius To conclude on both sides in the 23 degrées 30 minutes there must bée on the one part Cancer and on the other Capricorne Afterward draw lines from the centre A by euery marke so long as your Table will receiue and at the end of these lines let the caracters of the 12 signes of the Zodiake bée fixed as in the figure following you may sée The vse of this Trigonall instrument in writing the 12 signes in Dialls YOur Diall being made and the Stile placed therein take your Trigonall instrument and set it vpon the Stile so that the whole Diameter thereof may stand plaine vpon the edge or vpper part the centre A. of your instrument alwaies remaining in one place of the Stile Let the line of ♋ bend vpward to the centre of your diall and the line of ♑ downe ward Then fasten a thred at the vppermost end of your trigonal in euery line of the signes so that you may direct it downward by the centre A. to the plat of your Diall and where the ende of the thred shall touch the Diall make a marke Then mouing the Trigonal on the right hand so that the thred may bée stretched on the left hand make there likewise a prick vpon the plat When you haue thus done 4 or 5 times vpon the one side of the diall that is on the left hand doe so likewise on the other side on the right hand These markes being thus made draw with your compasses or rather with a crooked ruler made according to those markes a line by them Doe thus with each one of the 7 lines of your Trigonal When you haue drawne al these lines being crooked except the middle line which is right and representeth the Equator then at the ends of them write the caracters of the 12 signes on this wise First on the right hand toward the East at the ende of the vpper line write or place ♑ At the second line downward ♒ At the third ♓ At the fourth ♈ At the fift ♉ at the sixt ♊ at the seuenth ♋ Then on the other side on the left hand toward the West at the ende of the nethermost line place ♋ At the second ♌ at the third ♍ at the fourth ♎ at the fift ♏ at the sixt ♐ And finally againe at the vppermost set ♑ This done remember that in what place of the Stile the centre A. of your Trigonall was placed there fasten a small péece of yron or any such like thing which may shewe with the shadowe thereof the Signe which the Sunne shall be in at any time vnlesse the houre lines bée so short that where the small péece of yron should be placed you may cut the Stile that the ende thereof shall shew it But the first is the most conuenient way for the vse thereof You may in like manner with this Instrument drawe or place the 12 signes in Horizontal East West and all other kindes of Dials which before are recited because the difference is nothing but in placing the 12 signes at the ends of the lines the true doing where of you may easily perceiue by the course of the Sunne For in the South Erect when the Sunne occupieth Cancer then is the line of ♋ furthest distant from the centre of the Diall But in the Horizontall Diall the line of ♋ is next to the centre Few words shall suffice for this matter experience shall easilie teach you herein How to place the vnequall houres in a Horizontall Diall CAP. 23. FIrst you shall vnderstand that by an vnequall hower is ment the 12 part of the day whether it be short or long For when the Sunne is in the Equinoctiall circle the day hath 12 equall and like wise 12 vnequall houres But in winter solstice when the dayes be at the shortest and containeth with vs where the Pole is eleuated aboue the Horizon 52 degrées onely 7 houres 36 minutes then the vnequall houres be lesse For if you diuide these 7 houres 36 minutes by fractions into 12 you shall finde onely 38 minutes of an equall houre to make one vnequall houre But in the sommer solstice when the dayes bée at the longest and hath 16 houres 24 minutes then one houre with 24 minutes maketh one houre vnequall These bée like wise called the houres of the Planets and are placed in Dialls on this maner Your Diall being made and prepared draw vpon it the 12 signes of the Zodiake as you were taught before so large as your plat will giue leaue c. Note that alwaies the Meridian line or 12 equall houre is the 6 vnequall houre Marke likewise that when the Sunne entreth into the beginning of ♈ and ♎ both the equall and the vnequall houres be of like quantitie For the 7 equall houre in the morning is the first vnequall and the

the morning and 5 in the euening at both 6. and the 5. houre in the morning and 7. at night Also at 5. in the morning and 7. in the euening the Sunne being in the beginning of ♊ But because the working of this to finde out these altitudes requireth much time and labour we will set downe these distances ready found out calculated for the Eleuation of the Pole 50. d. and 52 d. which you may likewise vse without any notable difference where the Pole is Eleuated 49. d. 51 d. and 53 d. The first table calculated for 50 degrees Hour Hour ♋ ♈ ♎ ♑ 10 deg ♉ 10 deg ♊     D. M. D. M. D M. D. M. D. M.   12 63 30 40 0 16 30         11 1 61 2 38 23 15 19         10 2 54 42 33 50 11 51         9 3 46 15 27 2 6 24         8 4 36 53 18 45     30 23     7 5 27 15 9 35     20 55     6 6 17 47 0 0     11 19     5 7 8 48         2 3 7 14 4 8 0 36             0 0 The second table calculated for 52 degrees of latitude Hour Hour ♋ ♈ ♎ ♑ 10 deg ♉ 10 deg ♊     D. M. D. M. D M. D. M. D. M.   12 61 30 38 0 14 30         11 1 59 13 36 28 13 21         10 2 53 15 32 7 10 0         9 3 45 12 25 33 4 45         8 4 36 12 17 32     29 36     7 5 26 53 8 46     19 22     6 6 17 42 0 0     11 4     5 7 8 58         2 4 7 46 4 8 1 1             0 0 If therefore you will make your Quadrant Horologicall for the Eleuation of the Pole 50. d. extend a thread or lay a ruler from the centre E. by the 63. d. 30. m. of the limbe of the quadrant beginning at F and where the thread so placed shall touch the Tropike of ♋ there make a point or marke Againe let the thread be placed vpon the 40. d. of the limbe and where it shall touch the Equator there also make a marke Thirdly let y ● thread be drawen by the 16. d. 30. m. of the quadrant and where it shall touch the Tropike of ♑ there make likewise a marke This done search out the centre by the 5. Proposstion 4. Euclid and ioyne these thrée markes into one arke which shall be the line for the 12 hower Afterward place the thread vpon the 61. d. 2. m. of the limbe and where it shall cut the Tropike of ♋ note it Draw likewise the thread vpon the 38. d. 23. m. of the limbe marke where it cutteth the Equator Then by the 15 d. 19. m. of the limbe extend the thread making a marke in the section therof and the Tropike of ♑ Drawe into one arke these thrée markes as you did before finding out the common centre so shall you haue the line of the 11. hower before noone and 1. after noone In like maner are the rest of the hower lines drawen by 3. points accounted and found out by the altitude of the sunne But because before 9. and after 3. in this Eleuation of the Pole it will not serue for this delineation there must another be made by the table of the 12. Signes or Quadrangles Therfore draw that from the 10. d. of ♉ so shall you haue a line or place wherein the third points may be marked Then to prepare the points of the arke for the howers of 8. and 4. of 7. and 5. and both the 6. besides the two markes made in the Tropike of ♋ and the Equator let the third be noted in the arke drawen from the 10. degrée of ♉ 〈◊〉 draw the line of the 5. and 7. howers vse besides the Tropike of Cancer and this drawen from the 10. degrée of ♉ the third which shall come from the beginning of ♊ The line of 4. in the morning and 8. in the euening is very short included in y ● angle next vnto I. Thus you haue finished 9 arkes or lines for the houres of which each one of them doth shew two houres except one which is onely for the ●2 houre And to the intent that there should be no space left voyd and vnprofitable betwéene the Tropike of ♑ and the centre E. you may drawe in that place the vnequall houres which you shall very easily doe on this maner Describe vpon the centre E. an arke very little distant from the Tropike of ♑ to be diuided into 6 equall parts and take the middle point betwéene the beginning of that arke at S. and betwéene E. Then vpon this point as it were a centre make a halfe circle from S. to E. which shall be the line of the 6. vnequall hower that is of midday Afterward one foote of the compasses being placed in the same Semidiameter E. D. and remoued eche way as occasion shall require and the other extended in the meane time so far that it may touch the second point of the arke diuided into 6. partes and the centre E. draw an arke or line from the centre to that point which shal shew the 5. and 7. howers Inlike maner are the other 4. drawen one foote of the compasses being remoued as necessity shal require in the Semidiameter E. D which may be prolonged if it shall be too short the compasses so opened that the other foot may touch the point of the diuided arke and the centre E. and ioyne them all into one arke line then fixe a thread in the centre E. well waxed hauing two small beades vpon it to moue with a plummet of iron or lead Last of all prepare two sights of brasse or other metall with ioynts which you must place in one right line vpon the side or edge A. B. so that you may direct them and againe turne them downe vpon that side A. B. at your pleasure that if you make this Dial vpon the Table or instrument prescribed in the beginning of this book they be no hinderance to you in trying or examining of your plats Thus is your diall prepared but for further instruction beholde the Figure The vse of this Diall or quadrant Horologicall TO know the hower of the day when the Sun shineth worke thus First séeke out in some Calender in what Signe and degrée the Sun is at that day then extend the thread with the beades vpon the Semidiameter E. D. and place the neathermost beade vpon that degrée in the Table of the 12. Signes which the Sunne then occupieth Afterward lifting vp your quadrant the thread with the plummet hanging at liberty let the Sun beams

passe thorow both the sights and then the neathermost bead shall shew the hower of the day either before or after noone for eche line as you see hath two howers but you may easily discern what hower of the day it is The vnequall hower of the day is thus found out The neather bead being placed vpon his iust degrée in the Zodiake lay it vpon the arke of the 12. hower the thread being extended thus holding this immoueable place the vppermost bead vpon y ● line of the 6. hower vnequal This done the Sun beames entring both y ● sights the highest bead shal shew the vnequall and the neathermost the equall hower The rising and sitting of the Sunne whereby the length of the day and night is knowen you shall finde out on this maner Place the neather bead vpon the iust degrée of the Sunne in the Zodiake then extend the thread vpon the semidiameter E. F. of the quadrant and the bead shall shew at or betwéen what howers the Sunne riseth and falleth The height of the Sunne aboue the Horizon at any time of the day is thus taken Receiue the Sunne beames by the holes in your sights and the thread with the plunmet hauing liberty to moue shall cut in the limbe of the Quadrant the iust degrée of the altitude of the Sunne aboue the Horizon In like maner is the Eleuation of the Starres aboue the Horizon searched out You shall finde out the eleuation of the Pole by the help of your Quadrant thus Take the height of the Sunne at 12 of the clock when the dayes and nights bée of equall length which being subtracted from 90 d. the eleuation remaineth But if you assay that vpon any other day then the Equinoct you must consider whether the Sunne occupieth the North or the South signes and then vse the table of the Declination of the Sunne on this wise When the Sunne is in the North signes substract his declination from the Meridian height thereof But if it be in the South signes adde the declination to his Meridian altitude The remainder or totall summe being taken from 90. d. the Eleuation of the Pole shall remaine How to make an instrument whereby you may know the iust howre of the night by the Starres CAP. 27. FIrst prepare a plat or Table of brasse or firme and solide wood which will not change or bend somwhat thinne let the forme of it be round thrée inches broad or more or lesse as you will Draw a circle nigh vnto the edg and diuide it into 12. equal parts wherein shal be placed the 12. Signes of the Zodiake then diuide ech of these parts into 30. equal partes which shall shew the number of the daies that the Sunne moueth in euery Sign Make a second circle wherin you may number the daies and a third circle wherein write the Caracters of the 12. Signes as you sée in the Figure following Draw likewise another circle wherein you may write the daies of euery moneth in the yéere which you may doe by any Calender but for more easines beholde the Table following whereby you may likewise doe it Month. Daies Deg. M. Caracters of the 12. Signes Signes Ianuary 1 20 13 ♑ Capricorne   15 5 33 ♒ Aquarius   31 21 44 ♒   February 14 5 52 ♓ Pisces   28 19 48 ♓   March 15 4 36 ♈ Aries   31 20 18 ♈   Aprill 15 4 51 ♉ Taurus   30 19 13 ♉   May 15 4 38 ♊ Gemini   31 18 50 ♊   Iune 15 3 3 ♋ Cancer   30 17 22 ♋   Iuly 15 1 40 ♌ Leo.   31 16 58 ♌   August 15 1 24 ♍ Virgo   31 16 58 ♍   September 15 1 40 ♎ Libra   30 16 30 ♎   October 15 1 30 ♏ Scorpius   31 17 43 ♏   Nouember 15 2 30 ♐ Sagittarius   30 18 13 ♐   December 15 3 38 ♑ Capricorne Enter this Table and you shal finde that the first day of January must be placed against the 20. d. 13. m of Capricorne and the 15. day against the 5. d. 33. m. of Aquarius c. Therfore lay your ruler vpon the centre A. of your plat and vpon the 20. d. 13. m. of ♑ and where it shall touch the circle which you made for the daies of euery moneth there make a marke which shall shew the first day of January Then lay it vpon the 5. d. 33. m. of ♒ and the centre A. and where it shall touch the circle make a marke for the 15. day of January Then lay your ruler vpon A. and the 21. d. 44. m. of ♒ and make likewise a marke for the 31. day of January Again place the ruler vpon the centre A. and the 5. d. 52. m. of ♓ for the 14. day of Februarie worke thus with all the rest vntil you haue set down the beginning and middest of euery month as the Table doth direct you then hauing found out the beginning middest of euery month you may at ease diuide euery space into so many partes as there be daies in the month which it serueth for according as you sée in this figure following It shall be also necessary to make one circle to write the number of the daies of the moneth and another for the names of the monthes you must make also a hole in the centre of this plat of such bignesse as you may sée a Starre thorow it as in the figure you may perceiue Hauing prepared this plat with the circles vpon it for the 12. Signes and months you must prepare an other whéele full of téeth which you shall make on this maner Take a thime Table or platte of the same matter your other was draw a circle vpon it so great as the inward circle of the first plat and diuide it into 24. equall parts Then draw lines from the centre to euery one of those parts vntill you haue so many as there be howers in the longest night in your Country Then cut téeth by these lines for the howres and write the number of them vpon the téeth as you sée in this figure Let the tooth for the 12. howre be so long from the centre to the end as is betwéen the centre A. of the other plat and the circle of the 12. Signes You must likewise make a hole in the centre of this whéele of the same bignes of that in the other plat The thothed wheele This done you must prepare a ruler which shalbe placed vpon this whéele Take therefore a thin péece of wood or brasse and draw vpon it a light line at y ● one end therof in the middest of the line make a hole of the same bignesse which that is in the great plat and tothed whéele Then draw a circle halfe an inch wide or more if you will afterward cut the ruler round at the end cutting off likewise the one halfe of the breadth of the ruler by the line Let

learne the age of the Moone by an almanack and especially the houre of the change then turne the great ouer-hanging tooth to the day of the Moone on the first limb and to the houre of the change accounting from 12 of the clock The shadow of the Stile shall shew the howre of the night either beneath your Diall or els aboue This Diall will serue also for the Sunne if you turne the great tooth of the moueable whéele to the little strick A. which is right opposite to the beginning of the first and end of the last day of the Moone nere the 15. day and then it is fit for the Sunne For it differeth nothing from y ● North reclining direct where the Reclination is equal to the Eleuation of the Pole The vse of the Table of the declination of the Sunne TAke what degrée you wil of any signe and by this table you may know his declination from the Equinoctiall circle The Signes are written partely on the head of the Table and partely on the foote of the same The Degrées in the first columne doe serue for the Signes that be on the head of the Table and the Degrées in the last columne doe serue for the Signes in the foote of the Table And the common Area or angle against the Signe and the Degrée which you séeke for doth containe the Degrées and Minutes of the Declination due to the same Example I would know how much the tenth degrée of Leo doth decline from the Equinoctiall I must looke in the columne ouer Leo right against the number of 10. in the last columne where I finde 17. d. 46. m. the declination therof c. The table of the declination of the Sunne from the Equinoctial circle   Aries Libra Taurus Scorpius Gemin● Sagittarius   Deg. Deg. M. Deg. M. Deg. M. Deg. 1 0 24 11 30 20 12 29 2 0 48 12 11 20 35 28 3 1 12 12 32 20 47 27 4 1 36 12 52 20 58 26 5 1 59 13 12 21 9 25 6 2 23 13 32 21 20 24 7 2 47 13 52 21 30 23 8 3 11 14 12 21 40 22 9 3 34 14 31 21 49 21 10 3 58 14 50 21 58 20 11 4 21 15 9 22 7 19 12 4 45 15 27 22 15 18 13 5 8 15 55 22 23 17 14 5 32 16 3 22 30 16 15 5 55 16 21 22 37 15 16 6 18 16 39 22 44 14 17 6 41 16 56 22 50 13 18 7 4 17 13 22 55 12 19 7 27 17 29 23 1 11 20 7 50 17 46 23 5 10 21 8 12 18 2 23 10 9 22 8 35 18 17 23 13 8 23 8 57 18 33 23 17 7 24 9 19 18 48 23 20 6 25 9 41 19 2 23 22 5 26 10 3 19 17 23 24 4 27 10 25 19 31 23 26 3 28 10 47 19 44 23 28 2 29 11 8 19 58 23 29 1 30 11 29 20 12 23 30 0 Deg. Deg. M. Deg. M. Deg. M. Deg.   Virgo Pisces   Leo. Aquarius   Cancer Capricorne     The Table of Sines The whole Sine conteineth 100000. partes The vse of the Table of Sines WHereas the making of some Dials and this Table of Sines may séeme obscure and hard to them who are not acquainted with Sinicall computation it shalbe expedient to declare the vse hereof so much as perteineth to the vnderstanding of this booke omitting all other vses as impertinent to our present purpose Wherfore know that the Grades or Degrées are found in the vpper head of this Table and the Minutes pertaining to the Degrées on the left side in the Area or common méeting of them both a number which is called the Sine answerable to ech Degrée and Minute offereth it selfe Againe the Sine being found out you may easily know the arke that is the Degrée and Minutes thereof these being on the left hand the other on the head or vpper part Vnderstand by the Complement that which remaineth of any number being taken or substracted from 90. Degrées If at any time you enter the Table with iust Degrées without any Minutes resolue one Degrée into 60. Minutes and then séeke out his Sine And whereas you shall finde some numbers imperfect you must remember to supply their want with those which be perfect immediatly going before Example The Eleuation of the Pole at Cambr. is 52. Degrées whose Sine I desire to know therefore resoluing one of the Degrées into Minutes I enter the Table with 51. degrées 60. Minutes and in the common Area I finde the Sine to be 78801. If then you desire to know the complement of this Eleuation substract 52. out of 90. and the remainder shalbe 38. the complement thereof and entring the Table with 37. d. 60. m. you shall finde in the Area 66. which number because it is imperfect you must supply the want thereof by adding the 3. former figures in that which is next before perfect to wit 615. and thē the whole number shalbe 61566. the Sine of 38. d. which is the Complement of 52. d. the Eleuation of the Pole These thinges well considered there is nothing in the booke so obscure but it shall séeme plaine and easie 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 FINIS Note that some of the letters in the Instrument page 2. are omitted in the printing place A. at the vppermost corner towards the left hand B. at the neathermost C. by 90. beneath and D. at 90. aboue D 0 1 2 3 4 5 M Partes Partes Partes Partes Partes Partes   1 29 1774 3519 5262 7004 8744   2 58 1803 48 91 33 73   3 87 32 77 5320 62 8803   4 116 61 3606 49 91 31   5 45 90 35 78 7120 60   6 74 1919 64 5407 49 89   7 203 48 93 36 78 8918   8 32 77 3722 65 7207 47   9 61 2007 51 95 36 76   10 90 36 80 5524 65 9005   11 319 65 3809 53 94 34   12 49 94 38 82 7323 63   13 78 2123 67 5611 52 ●92   14 407 52 96 40 81 9121   15 36 81 3925 69 7410 50   16 65 2210 55 98 39 79   17 94 39 84 5727 68 9208   18 523 68 4013 56 97 37   19 52 97 42 85 7526 66   20 81 2326 71 5814 55 94   21 610 55 4100 43 84 9323   22 39 85 29 72 7613 52   23 69 2414 58 5901 42 81   24 98 43 87 30 71 9410   25 727 72 4216 59 7700 39   26 56 2501 45 88 29 68   27 85 30 74 6017 58 97   28 814 59 4303 46 87 9526   29 43 88 32 75 7816 55   30 73 2617 61 6104 45 84 D 0 1 2 3 4 5 M Partes Partes Partes Partes Partes Partes   31 901 2646 4391 6133 7874 9613   32 30 75 4420 62 7903 42   33 59 2704 49 91 32 71   34 89 34