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A55330 The path-way to perfect sayling shewing briefly the six principall points or grounds of navigation / written by Richard Polter ; whereunto is added A navticall discovrse ... first penned by John Basset ; and now put forth to publike view with some addition by Henry Bond. Polter, Richard. 1644 (1644) Wing P2781; ESTC R24059 43,260 60

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the fixestarres comparing the observations made 400 yeeres before him with his owne he finding therby that the fixed Starres had mooved in consequence 4 deg therefore Prolomie all owed to the whole revolution of the fixed starres to accomplish one period according to the rate of 36000 yeeres that was for every 100 yeeres one deg Mesline delivereth also that the opinion of the Alfonfines concerning our revolution or accomplishing of one period of the 9 Spheere is in 49000 yéeres but according to Copernicus his observations one periodicall revolution is in 25816 yeeres delivering that an houre of the longest day is 63 minut 40 seconds such as an houre of the shortest day is onely 60 min. Copernicus maketh likewise the yeere 365 dayes 5 houres 49 min. 15 seconds 46 thirds which he calleth the yeere Tropicall equally supputated or counted to the middle Equinoctiall The Aifonsines in their account wanteth in their yeerely period 13 thirds Mesline maketh the yeere 365 dayes 6 houres 9 minutes 39 seconds and this yeere he calleth syderiall or starry numbred under the Spheere of the fixed Starres which is more then the yeere delivered by Copernicus by 20 min. 23 seconds 14 thirds Delivering the causes of this difference to be this making these beginning of the yéeres to be in one point of the 10 and 9 sphéeres and the 9 Sphéere before the yeere end being remooved Easterly from the 10 spheere the yeere end comming to that point of the 12 Spheare againe is to proceed from it to that point of the 9 sphere also before the yeere endeth Mesline delivereth the Sunne being in the Apogeum part that from middle motion to middle motion the sun passeth 176 deg 20 min. of the ecliptick And the sun being in the Perigeum part from middle motion to middle motion passeth 183 degr 40 minutes of the ecliptick which maketh a difference of 7 degr 20 minutes But from the points of true motions the halfes are equall each 180 deg of the Ecliptick and the arch of time betweene the middle and middle motion of the Sunne in Apogeum part is 182 dayes and 6 houres Also the Arch of time betweene the true motion and true motion of the Sun in the Perigeum part is 179 dayes which maketh the arch of time betweene the middle the midle motion of the sunne in Apogeum more then in Perigeum by three dayes and 6 houres Also maketh the arch of time betweene the midle and true motion of the sunne in both the meane motions to be 4 dayes and the arch of time different from the true motion to the true motion of the sunne in Apogeum from the same points in his Perigeum to be 7 dayes and 6 houres And as for the rest of the Theoricks of the Sunne and Moone I have delivered sufficient in my delivery before concerning the tides But to conclude Stadius in his Ephemerides folio 57 of the Equation of the naturall dayes delivereth as followeth concerning the time We have computed all the places of all the Planets and also of the Sunne and Poone in this our Ephemerides for the naturall dayes to wit for the space in the which the whole equator is turned about and moreover 59 minutes and 8 seconds but because the apparent and true day now and then doth exceed this time and now and then is lesse to wit Partly when the Sunne goeth swifter or flower by reason of his Prosthopherisis Partly for that equall times of the Equator in the diurnall coartation or revolution doe not answer to equall sagments or parts of the Zodiack it commeth to passe that this inequality of time also needeth a prosthopherists the which notwithstanding cannot be alwayes equall nor certaine For the conversion of the Circle of the Equator though vnto the middle and equall Equinoctium which is the yéere divided into foure equall parts is evermore equally constant yet neverthelesse unto the apparant Equinoctium which are the true equinoctiis which the excentrick yeelds is found not equall Neither doth the Sunnes Apogeum occupy a stable seat because the Apogeum flecteth in the ecliptick every 13 yeeres 1 degree 27 minutes moreover the Sunne in his excentricity doth some hurt by his shifting for the excentricity is more and lesse by a eleven semidiamiters of the Earth as aforesaid and goeth about with the ecliptick Wherefore also no limit can be appointed perpetually to this insquallity but in this our Age all these causes conferred one with another and added together doe show that the greatest day and lesse day doe differ one from an other one houre and 28 minutes that is to say 22 times or Meridians and 20 minutes of the Equator But seeing that this inequality of dayes cannot missever the rest of the motions therefore it is necessary that we should admit them to be equall vnto the which equall dayes the Tables of the motions s●ould be both made and set together the which course we have taken in this our Ephemerides and for that cause we have borrowed the Canon of equation of dayes out of Erasmus Rheinholdus which agréeth neerest with our age vntill the yéere 1600. Therefore according as you find the number in that cannon to adde or substract that is the time that the day is eyther longer or shorter then the equall day or the day of the Ephemerides that is the first equated day or day equated vpon the difference of 88 minutes whereas the second equation is of dayes once equated and now doth equate them vpon the difference of 44 minutes whose halfe is 22 minutes the greatest number within the cannon Séeing there is a first error concerning the time delvered even in the motions of the Heavens as aforesaid therefore these running Glasses delivering but a second error the reason is this because they cannot be made without their imperfections had need to be most carefully made and by the precisest workman that the time delivered by them may be but according to the second error for the delivery of the Longitude by which running glasses next hereafter nominated the longitude is better delivered then by any other Instruments A glasse whose sand is mettall and the mettal said by some will not rust notwithstanding in my opinion it will rust somewhat and be sometimes moyster then at other times likewise the hole that the sand runneth thorough will grow wider with the force of the sand the rather being violated by the surges of the sea which impersections considered the glasse must needs deliver the time sometime shorter and sometime longer according to the weather therefore a second error yet this glasse is more tollerable then the rest for this delivery and is to be vsed before all other of which glasses there may be divers sorts for the delivery of more and lesse at pleasure And because the running glasses with sand is more grosser and that clockes and watches hath their more imperfections then the former glasse I will omit them and leave the delivery
the Southeast it is then 20 minut before 9 a clock in the morning but if the Moone hath 5 degrees south latitude then it is 18 minutes past 8 if the Moone have 5 deg north latitude then it is 51 min. past 8 a clock Sunne in the Equator The Sunne at the southeast it is then 28 min. past 9 a clock in the morning but if the Moone have 5 degrées south latitude then it is 18 min. past 9 if the moone have 5 degr north latitude then it is 38 min. past 9 a clock Sunne in Cancer The Sunne at the southeast it is then 18 min past 10 a clock in the morning but if the Moone hath 5 degrées south latitude then it is 6 minut past 10. If the Moone have 5 degrées north latitude then it is 30 min. past 10 a clocke But at an East sunne it is then 22 min. past 7 a clocke in the morning but if the Moone have 5 degrees South latitude then it is 2 minutes past 7. If the moone have 5 degrées north latitude then it is 42 minutes past seven a clock likewise in this north latitude 51 degrées 32 minutes there is difference of time in the Moone being southeast 2 houres 2 minutes And in this same Latitude difference in the east from 6 a clock 1 houre 42 minutes the mistaking of so much time from the high water may overthrow their charge in going into a harbor where it is to be respected 2 And whereas they deliver in their Tide Tables a hoying of the tide in conjunction aspect or opposition to 48 m. after the order in that Tide Table it is not so but in a river or in-draft where the Tides in their prime runneth quick there Tides of flouds will runne 48 minutes after high water and thus I will leave the delating of the Tides Concerning the Time SUch is the conceit or knowledge of the Sea-men in these times they take a common Compasse little respecting the error thereof being touched with a Stone of no strength and made wise by a man of no knowledge which Compasse they devide into 24 houres to deliver unto them they observing the Sunne therewith the time they looke for which is as lame a delivery of the times as may be and is somewhat touched before in the delivery of the Tides and likewise as hereafter followeth Also they observe the time by an houre or halfe houre glasse made by as carefull a man as the Compasse before spoken off who indéed careth but little what error more or lesse is delivered in those glasses in 24 houres nay in halfe an houre with whom as the proverb is an inch breaketh no square Which Compasses and glasses had néede to be carefully respected nay rather to be reformed for the security as aforesaid of the Navy of England which is greatly indangered by them and although these appendances for Nauigation be méere false yet the Market-folkes being not experienced by them in consideration of the cheapenesse of them holding themselves thereby profitable servants to the owner And although the time generally from one Moone to the other cannot be perfectly delivered by any man as hereafter shall be shewed yet by precise Instruments carefully made the time may be delivered more truely which is the greatest helpe we have in Longitude and for a man most carefull in making of his Compases and running glasses I commend Maister Emerie Mollineux of Lambeth while he lived as for my conceit which I have learned concerning the time it is as hereafter followeth First for the confuting of the time delivered by the compasse as aforesaid which Compasse is delivered by 360 degrees which indeed are Azimuths and they justify as many Azimuths which is 15 for one houre as for another which is contrary therefore I will deliver three examples to that effect in the Latitude 51 degrees 32 minutes as followeth Sunne in Capricornus From the Sunne rising to one houre of time there is 12 Azimuths and a ¼ and from a 11 a clock to 12 at Noone there is 14 Azimuths Sunne in the Equator From the Sunne rise to one houre of time there is 12 Azimuthes and from a 11 a clock to 12 at noone there is 18 Azimuths and ¾ Sunne in Cancer From the Sunne rise to one houre of time there is a 11 Azimuths and ⅓ and from a 11 a clock to 12 at noone there is 28 Azimuths Also followeth two examples the one in the north latitude 51 degrees 32 minutes the other in the north latitude 66 degrees concerning the difference of time as followeth The 1 Example in Latitude 51 degr 32 min. Aries whole signe hath declination a 11 degrees 20 min. which reacheth in longitude Eastward according to the degrees on the Equator to the 28 meridian likewise this whole signe of Aries doth lengthen the dayes 1 houre and 58 min. Taurus his whole signe hath declination 8 degrees 50 min. which reacheth in longitude Eastward according to the degrees on the Equator to the 29 and a halfe Meridian also this whole signe of Taurus doth length the dayes one houre and 44 minutes Gemini his whole signe hath declination 3 degr 18 min. which reacheth in Longitude eastward according to the degrees on the equator to the 32 and a halfe Meridian also this whole signe of Gemini doth length the dayes 1 houre 40 minutes The 2 Example in North Latitude 66 degr Aries whole signe lengthen the dayes 3 hour and 46 min. Taurus whole signe lengthen the dayes 3 hour and 38 min. Gemini his whole signe lengthen the dayes 3 hour and 0 min. But seeing that generall time from one Noone to an other cannot be delivered certaine but there shall be error so that one 24 houres shall be longer or shorter then an other by 1 houre and 28 min. as hereafter shall be delivered what certaine time then can be delivered by any Instruments for that purpose which delivereth but a second error Now will I deliver some causes why the time from one noone to another cannot be of like time Mesline in his Astronomy delivereth that there is three Ecliptickes as followeth First the ecliptick of the 10 Spheare which is fixed Second the ecliptick of the 9 Spheare which is mooveable Thirdly the ecliptick of the 8 Spheare which is the true ecliptick of the starry firmament Likewise he delivereth that the Sunne in Aries of the 9 Sphere is gone to the Eastward of the Sunne in Aries of the 10 spheare 27 degrees and better but directly vnder it in the same plaine Also that the Sunne in Aries of the 8 sphears never is neerer to the Sunne in Aries of the 9 Spheare then by the semidiamiter of the small circle which is 9 degrees Now Mesline delivereth the difference of the judgements of the Astronomers and that Ptolomy maketh the 8 and 9 Sphears all one delivering the opinion of Prolomy and others as followeth The opinion of Prolomie concerning the motions of