Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	common_a	lord_n	prayer_n	2,904	5	6.1819	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A55065	The catholique planisphaer which Mr. Blagrave calleth the mathematical jewel briefly and plainly discribed in five books : the first shewing the making of the instrument, the rest shewing the manifold vse of it, 1. for representing several projections of the sphere, 2. for resolving all problemes of the sphere, astronomical, astrological, and geographical, 4. for making all sorts of dials both without doors and within upon any walls, cielings, or floores, be they never so irregular, where-so-ever the direct or reflected beams of the sun may come : all which are to be done by this instrument with wonderous ease and delight : a treatise very usefull for marriners and for all ingenious men who love the arts mathematical / by John Palmer ... ; hereunto is added a brief description of the cros-staf and a catalogue of eclipses observed by the same I.P.	Palmer, John, 1612-1679.	1658 (1658)	Wing P248; ESTC R11098	148,140	211

Plumb-line cuts 10 degrees from B towards C I say then is the Sun 5 degrees high and 30 degrees more in all 35 degrees in like manner you may place the Sight at any other number of degrees from D toward A as you shall find most convenient for the present Altitude remembring always that how many degrees soever you remove the Sight half so many are to be added to the Altitude found But if your Reet happen to run so far under the Limb that you cannot make a center-hole for the Plumbet through the Limb and Mater without hindring the Reets motion then may you have a small plate of sheet brass in fashion of an Arm or Tongue in the point whereof you shall have a Center-hole drilled and this plate shall be so joyned with a sluce or screw about the Limb near A that the Center-hole made in this plate may lie close to the point where the Center should have been boared in the Limb in the line A B and thus you may put it on and take it off at pleasure that it hinder not the motion of the Reet or Label Of the fashion of the Sights see more Booke 4.2 CHAP. XI Of the perpetual Calender on the back-side ON the back-side of your Planisphear you may set the Calender following which consisteth of three Tables gathered round The longest would be set outtermost The first is the Table of the Cycle of the Sun that is of the Sundays Letter This is here placed in the middle It is a Cycle of 28. years in which time the Dominical Letter runs all his changes caused by the one odd day above 52 weeks in every Common year and two odd days which run over the even weeks in the Leap years To find the beginning of this Cycle add to the year of our Lord 9. because the first year of our Lord as wee commonly acount was the 10 of this Cycle and divide the sum by 28. the remainder is the year of the Cycle running and if nothing remain then it is the 28. or last year So you shall find that the Cycle now running shall end with the Julian year 1671 as in the Table and shall begin again with the year of our Lord 1672. Thus may you renew the Table when it is expired or make this very Table serve you for ever Example Enter this Table with the year of our Lord 1656. now running and you shaall find over against this year in the next space inwards 13. shewing you that it is the 13 year of the Suns Cycle so shall the 28 year forward viz. 1684 be again the 13th year of the Cycle next comming In the next space within you have the Dominical Letters F and E because it is Leap year F shall be the Dominical Letter till you come past the Intercalary day which is the day following the 24th of February and for the rest of this year the Dominical Letter shall be E for the Letters always change backwards also you shall note here that the day inserted in every 4th year is not February 29 but February 25. for February 24. being 6 Cal. Martij is repeated again in the Leap year and they write again February 25.6 Cal. Martij and the 25th of February in the Leap year is marked with the same letter F wherewith the 24th of February hapneth always to be marked Hence the Leap year is called Annus Bissextilis and note that by the Eclesiasticall Law S. Matthias day which is February 24th in common years in the Bissextile years is to be observed on February 25. Nevertheless in our Secular Law not the 24th and 25th of February but the 28th and 29th in the Leap year are ordained to be one day in the account of Law as by Statutum de Anno Bissextili made in 21 year Henry 3. may appear The second Table is of the Cycle of the Moon consisting of the Prime or Golden Number and the Epact This Table contains 19 years which is the Annus Metonicus in which space of time Meton an Astronomer about 430 years before Christ observed the Moon to finish all her variations So that every 19 year the mean conjunctions or changes should happen upon the same days of the moneth that they did happen upon 19 years before onely an hour and half sooner Yet beeause every 19 years contain not the same number of Leap years but sometime there come five Leap years in 19 years and sometimes but four therefore there may happen in this Period of Meton an error of an whole day besides the hour and half above mentioned For remedy whereof Calippus about the 330 year before Christ devised to quadruple this period of Meton making Period●s Calippica of 76 years which contains just 19 quaternions of years so containing always the same number of Leap years and days This period is therefore more perfect then Metons for after this period of 76 years the Moon runneth over the same course for her conjunctions and oppositions changing in the same year of the period always upon the same day of the moneth save onely that shee changeth sooner by six hours in the latter period then in the former But the Church still retaineth the period of Meton called the Prime or Golden number because it used to be set in Golden letters in the Kalender in a certain artificiall order throughout every moneth to guide you to the day of the Moons Priming or Changing so may you find it in red letters thus Set to the Kalender printed in large folio with the Book of common Prayer in the time of the late Queen Elizabeth To find the year of the Prime add to the year of our Lord 1 and divide the sum by 19. the remainder is the year of the Prime or if nothing remain it is the 19th or last year Thus you may find the present year 1656 to be the fourth year of the Prime and so you find it in the Table The Cycle or Period now running ends with 1671. and begins again with the year following The Epact or Concurrent is set against the Prime in the next space inwards and finisheth his Cycle in the same time It was devised to find more readily the day of the change and age of the Moon The way to find it is this Multiply the Golden number serving for your year by 11 and divide the product by 30 the residue is the Epact for your year Or having the Epact known for any year you may make it from year to year by adding 11 to the Epact of the year foregoing and casting away 30 when the sum exceeds 30. The reason whereof is that the Moon changeth 12 times in 354. days that is 11 days before the Sun hath gone his round for which cause the changes must needs happen every year 11 days sooner Observe here that the Prime changeth every year the first day of January the Epact not till the first of March The Dominical letter changeth upon the

Meridian 3. A third way When the great Wain is seen under Cynosura the Pole Star observe with your eye the distance of the Thill-horse called Alioth from the next wheel of the Wain and setting that distance by aime in 5 parts observe by a plumb-line when Alioth drawes neer to be in the same Perpendicular with the Pole Star For when he wanteth but one of those 5 parts to come into the Perpendicular then is the Pole-star in the Meridian over the Pole in our age at other times of the night the Pole-star may be 4 degrees wide and in one hour neer the Meridian he changeth his Azimuth above one degree 4. A fourth way Because the distance of the Pole-star from the Pole is now 2 degrees 30 minutes and the Pole is in the circle or line which passeth from the Pole-star neer Alioth as before you may by guess cut off from that line 2 degrees 30 min. and in that Section you have the Pole at any time This way may be used abroad in the fields where you cannot stand upon exactness and herein you shall miss very little if you accustome your self to observe the distances of the Stars about the Pole CHAP. IIII. To Observe the Azimuth of the Sun or Stars LAy your Planisphear upon an Horizontal plain or Level and his Meridian on the Meridian line of your Place found by the last Chapter Then turn your Label that the Sun may cast the shadow of one Sight upon the other or directly towards it or till the shadow of a plumb line cut both the Sights alike then doth the Label shew the Azimuth in the Limb. For the Stars you must so direct the Sights by your eye that their edges may touch the Visuall line that comes from the Star to your eye and if your long Sight prove too short turn him toward your eye and inlightning the shorter Sight by a candle held behind you mark where the edge of the long Sight cuts both the edge of the short Sight and the Star for there is your Label in the Azimuth of the Star which you may count on the Limb. Note that if you seek the Azimuth to get the hour you shall find it most easily when the Sun or Stars are neer the Horizon and then you shall not be troubled with their Refraction But there is most use of observing Azimuths neer the Meridian because there the Azimuth changeth apace the Altitude very slowly Yet if you may choose choose to take Altitudes rather then Azimuths so you come not within 2 or 3 hours of the Meridian because the Sights serve all Altitudes with like facility and you may sooner have a true plumb line any where then a true Horizontall plain and a true Meridian line CAAP. V. To find the Suns Longitude THe Longitude of the Sun is the arch of his distance from ♈ 0 in the Ecliptick or it is the angle made at the Pole of the Ecliptick comprehended between the circle of Longitude passing through ♈ 0 and another Circle of Longitude passing through the center of the Sun for the said arch of the Ecliptick is always the proper measure of this Angle And because the Suns center never hath Latitude therefore for the Sun you shall enquire the arch but contrarily for the Stars which have Latitude you shall require the Angle and they be both as was said of one measure The Suns Longitude Arch or Angle is presently found by the Ephemeris upon the Limb of your Planisphear for if you lay the Label upon the day of the Moneth it shall cut the degree of the Signe also in which the Sun is and that is his Longitude in doing whereof you shall observe the cautions given Lib. 1.8 to which I refer you Note here that the Longitude of a place in Geographie is the Angle at the Pole of the World comprehended between the first Meridian passing by the hither side of S. Michals Island which is the neerest of the Azores and the Meridian of the Place and this Angle hath his measure in the Equator CHAP. VI. The Suns Longitude Declination Right Ascension any one of them given to find the rest in the first Projection WHat the Suns Longitude is hath been shewed chap. 5. His Declination is his di●●ance from the neerest point of the Equator and therefore is alwaies measured in an Arch of that Meridian which hapneth to pass through the center of the Sun and always cuts the Equator at right Angles as do all the Meridians The Right Ascension of the Sun is the angle at the Pole of the World comprehended between that Side of the Colurus Equinoctiorum which cuts the intersection of the Ecliptick with the Equator in ♈ 0 and the arch of another Meridian which passeth through the center of the Sun And note that this angle may increase above 180 degrees even to 360 degrees though every angle properly so called be less then 180 degrees and never more then 90 degrees comes into the Triangle for if you number backwards or forwards from either of the Equinoctiall points you shall have like arches of Right Ascension answering to like arhces of Longitude and Declination so that having found the Right Ascension in any one Quadrant or the complement therof you shall find the whole Right Ascension from ♈ 0 by adding one two or three whole Quadrants to the Right Ascension found or to the complement therof as by the view of your Planisphear you shall presently know how to do better then by more words Otherwise thus The Right Ascension of the Sun is an arch of the Equator comprehended between the Vernal Equinox and that point of the Equator which riseth with the Sun in a right Horizon A right Horizon is where the Equator passeth through the Zenith and maketh right angles with the Horizon and consequently where the Poles have no Elevation For from that posture of the Sphear in which the Equator riseth upright is the term of Right Ascension borrowed I would if I might call it rather Equation because it is numbred on the Equator and serves for the Equation of naturall days and may as easily be found in any Sphear as in a right Sphear since the Horizon of a right Sphear limits the Right Ascension only because that Horizon falls in with a Meridian and the Meridians do limit it in all parts and postures of the Equator without any respect to the Horizon at all But the old term hath so long inured that I beleeve it will not be changed without better Authority These definitions premised you shall know that these three arches viz. of Longitude in the Ecliptick of Right Ascension in the Equator and of Declination in a Meridian do make up a notable Rectangled-Triangle in the Sphear The Ecliptical Triangle like unto that which was made the common Example in all the five Problemes of Rectangled-Triangles Book 3 3. c. But to see your Triangle and resolve