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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 horizontall distance westward from the south to be 66 deg 53 min. So that I find this last observation to be farther from the true Meridian then the former by 15 min. but if the declination were decreasing then the last observation will be nearer the true meridian then the former by 15 minutes which maketh a difference of variation sometime too much or sometime too little by 15 minut good which is an error and therefore not the truth Concerning the Tides EVen as mens minds for the most part are setled in the absurdities of the Card and compasse accordingly so are they setled likewise in an absurd reckoning of their Tides as hereafter by the grace of God shall appeare divided into two parts first by the delivery of the Cpact next according to the time observed by the point of the Compasse as follweth The first part These men doth not only know the prime by the date of our Lord and the Epact by the prime and the day of conjunction by the epact which is tollerable according to the order of the Epact allowing 30 dayes to every Moone or on the 30 day end to be Conjunction which is notwithstanding partly at randome being without respect of the precise time of the conjunction But they justifie also the departure of Sunne and Moone in 24 houres to be continually 48 min. as though the motions of the Sunne and Moone continued all one or that 48 minut were their meane departure For they bring the 32 Points every poynt being a 11 degr and 〈◊〉 a sunder the whole being 260 degr to 30 whole dayes allowing to every 24 houres the departure to be as aforesaid 48 min. for 30 times 48 minutes is 24 houres and 4 minutes of time is ●nswerable to one degrée of the equator therefore the departure is 12 degrées in 24 houres allowing the just revolution of the Equator to be in 24 houres neither more nor lesse for 30 times 12 degrées is 360 degrées in which their reckoning in my conceit the course of the Sunne in those 30 daies which is about 29 degrées 30 min. is forgotten or not respected but either they must of necessity grant that the revolution of the Equator and the departure of the Sunne and Moone to be as hereafter shall be delivered or else they must allow the Moones error in her yéerely course to be 5 dayes 15 houres 2 minut too much which is an absurdity and maketh the sinodicall error more then it should be by 11 houres 15 minut 56 sec 49 thirds but if they doe acknowledge which I take it is in few or none of their heads that the whole revolution of the Equator is turned about in 24 houres as hereafter wall be delivered and so doe reckon the odde time to be for the meane course of the Sunne in the 30 daies yet they must acknowledge by that reckoning that the conjunction of the Sunne and Moone must happen almost at like times of every yéere or at least-wise make the difference sooner of the yeerely period of the conjunction to be but 5 dayes 6 houres 9 minutes which indeed should be 10 dayes 21 houres 11 minutes as hereafter shall be delivered The 2 part 1 Also these men I justify in reckoning their Tides in what place and time soever that where it floweth a southeast moone in conjunction or opposition and possible by a false Compasse then it floweth till 9 a clock or where it floweth an East Moone in conjunction or opposition then it floweth 6 a clock so it s their judgments generally of all the rest of the points of the Compasse 2. And to justifie my sayings to be true they have set forth printed tide tables thereof and in those tables also have set their judgements that in conjunction or opposition it floweth 48 min. after the time upon any point as aforesaid which is absurd Therefore these their judgements for the security of their charge had as much néed of refining as the East and west of the Compasse as is said before to lead in paralell Now to the matter for the refining of the first part as aforesaid let this first part following suffice To know the times of the Conjunction otherwise then by the Epact is delivered by Ephemerides or Alminacks but rather knowne by that man that hath the knowledge himselfe in the Theorickes of the Sunne and Moone which knowledge ought to be in a man that would be artificall to refine these absurdities In Mesl●nes Astronomie the metions of the Sunne and Moone are distinguished into three parts Slow swift and meane that is to say in Apogaeum slow when they are farthest from the earth in Perigeun swift when they are néerest the earth and in their meane betwéene the Apogaeum and Perigenm notwithstanding by these thrée motions there is knowledge understood that the motions of the Sunne and Moone are alwayes different that is to say the Sunne from this place in Apogeum to his Perigeum likewise the Moone from her Apogeum and Perigeum of her epicicle from her Apogeum in her almost an oval forme of the center of her Epicicle to her Perigeum thereof being the like qualited To justifie the Motions to be the truer it is also delivered in this Astrouomy that the Sunne hath thrée Orbes or particular Spheres as followeth First an Excentricke which is called the difference of the body of the Sun second is called the difference of the Apogeum of the excentrick the which 2 doth containe the excentrick betwéen them and 3. maketh the whole sphéere of the Sun to be concentrick I could delate more of this theorick then I purpose but it would be to small effect concerning the tides only respect this that follows Three reasons to be delivered for this Hypothesis as aforesaid to be true 1 First reason which causeth the Sunne to be in an excentricke is the difference of the Sunnes motion which is prooved sometimes swift sometimes slow as aforesaid 2 Second reason is because the Diamiter of the Sunne is prooved sometime bigger as in Perigeum 33 min. 44 sec then at some other time by 2 minutes 6 seconds therefore néerer at sometimes then at other times 3 The third reason is the inequality of the Epicicles because it is proved that the Sun farthest from the earth causeth the Eclipses to be longer and neerer the earth to be sooner Mesline delivereth also in his Astronomy that the greatest excentricity of the Sunne is 48 semidiamiters of the earth And the least excentricity which is néere in this our age about the 9 degrée of Cancer is 37 semidiamiters of the earth So the difference is a 11 semidiamiters of the earth and the semediamiter of the earth is 3436 miles and 〈◊〉 So that the sunne is néerer unto us at some time then at some other times by 74 semediamiters of the earth Mesline delivereth likewise one yearely Period of the sunne to have 365 dayes 6 hour 9 min. 39 sec and
this yéere he calleth Sideriall or starry the diurnall mean motion of the Sunne accordingly to be 59 min. 8 sec 11 thirds 22 fourths 16 fifths The motions of the Sunne as followeth Her swift motion in 24 houres is 1 deg 1 min. 16 second Her meane motion in 24 houres is 0 59 8 Her slow motion in 24 houres is 0 57 0 Mesline delivereth likewise in his Astronomy that the Moone hath five Orbs or particular Spheres as followeth 1 First an Excentricity 2 Second the difference of the Epicicles center 3 Third the difference of the excentricity in Apogeum and Perigeum 4 Fourth is the Epicicle which carieth the body of Luna 5 Fifth which is Concentrick called aequans Luna Foure reasons following to prove this Hypothesis to be true 1 First reason which causeth the Moone to be in an excentrick is the difference of the Moones motion which is proved sometime swift sometime slow 2 Second reason is because the Diameter of the Moone is prooved sometime bigger as in Perigeum 35 miu 38 seconds then at some other time by 5 min. 38 sec therefore néerer at some times then at other times 3 Thirdly the inequality of the Eclipses because the moone farthest from the earth causeth the Eclipses to be longer and néerer the earth to be sooner 4 Fourthly the inequality of the Paralax because the Moone sarthest from the earth causeth the Horizontali paralax to be the lesse and néerer to be more And the greatest excentricity of the Moone is 10 semidiamiters of the earth and 〈◊〉 a little lesse And the semidiamiter of the Epicicle is 5 semidiamiters of the earth and 〈◊〉 So that the Moone is neerer unto us at sometime then at some other times by 30 semidiamiters of the earth and 〈◊〉 and likewise by the whole diamiter of the Circulus parvus which is 20 semidiamiters and 〈◊〉 For the Moone maketh a Circulus parvus contrary to her owne motion about the center of the world according to the semidiamiter of the excentrick which is 10 semidiamiters and 8 min. 30 seconds Likewise the Moone hath latitude of the Ecliptick on either side 5 degrées which for the tides is greatly to be respected Mesline delivereth one meane periodicall period of the Moone to have 27 dayes 7 houres 24 minutes Also delivereth the meane time to make vp the periodicall period to a meane sinodicall period to have dayes 2 dayes 5 houres 20 minutes So that the meane sinodicall month of the Moone to be in conjunction againe with the Sunne hath dayes 29 dayes 12 houres 44 minutes 3 sec 11 thirds The motions of the Moone as followeth The swift motion of the Moone sometimes in 24 houres is 15 degrées 0 min. The meane motion in 24 houres is 13 degrées 30 minutes And her slow motion in 24 houres is 12 degrées 0 minutes Now having delivered so much as needeth of the Theoricks of the Sunne and Moone concerning the Tides we are come to the point to know their departure which is as followeth The departure of the Sunne and Moone The Moone presently after the conjunction departeth Eastward from the Sunne in Apogeum in 24 houres 11 deg 3 min. which is answerable in min. to 44 min. 12 seconds The Moone presently after the conjunction departeth from the Sunne in Perigeum in 24 houres 13 degrees 58 minutes 44 seconds answerable in minutes to 55 min. 55 seconds The Moone presently after the conjunction departeth from the Sunne in meane motion in 24 houres 12 degrees 30 min. 52 seconds answerable in min. to 50 min. 3 seconds 〈◊〉 Sometimes the departure of the Sunne and Moone when the Sunne is in her slow motion and the Moone in her swift motion in 24 houres is 14 degrees 3 minut which maketh the departure in minutes answerable to be 56 min. 12 seconds And sometime the departure of the Sunne and Moone when the Sunne is in his swift motion and the Moone in her slow motion in 24 houres is but 10 degrees 58 min. 44 seconds which maketh the departure in min. answerable to be 43 min. 55 sec And the meane motion between both these motions next above in 24 houres is 50 min 2 seconds 30 thirds Which motion is justified twise as above therefore I conclude the meane departure of the Sunne and moone in 24 houres to be 50 min 3 seconds 30 thirds And the hourely departure accordingly to be 2 min. 5 secon 8 thirds 45 fourths Stadius affirmeth in his Ephemerides that in 24 houres the whole equator and 50 minutes 8 seconds is turned about which is most certaine Likewise in a meane be affirmeth that the conjunction of the Sunne and Moone in one period at any one time in the yeere shall differ from the same time the next yeere and be sooner 10 dayes 21 houres 11 min. as for example In the 12 meane sinodicall moneths the time that wanteth of 12 times 30 dayes is 5 dayes 15 houres 2 minutes which maketh 360 dayes the remainer of the dayes of the whole yeere is 5 dayes 6 houres 9 minutes which both together is 10 dayes 21 houres 11 min. Now for the refining of the first 2 parts let these last 2 parts following suffice concerning their error in reckoning their tides delivering the time by the points of the Compasse for the confuting hereof I will deliver six examples three examples in the north latitude 30 degr and the other 3 examples in the north latitude 51 degrees 32 minutes North latitude 30 degrees the Sunne in Capricorne 1 The Sunne at southeast it is then ¼ before 9 a clock in the morning but if the Moone hath 5 degrees South latitude then it is 24 minutes before 9 a clock if the Moone have 5 deg North latitude then it is 16 min. past 9 a clocke Sunne in the Equator The Sunne at Southeast it is then 14 min. past 10 aclock in the morning but if the Moone have 5 degrées south latitude then it is 7 min. before 10 if the Moone have 4 degrées north latitude then it is 30 minutes past 10 a clok Sunne in Cancer The Sunne at southeast it is then 32 min. past a 11 a clock in the morning but if the Moone have 5 degr south latitude then it is 15 minut past a 11 if the Moone hath 5 degr north latitude then it is 54 minutes past a 11 of the clock And at an east Sunne it is then 18 min. past 9 a clock in the morning but if the Moone have 5 degrées South latitude then it is 24 min. past 8 a clock if the Moone have 5 degr north latitide then it is 40 min past 10 a clock So that in this north latitude of 30 degrées there is difference of time in the Moones being sentheast 3 houres 18 min. and in the same latitude difference from 6 a clock in the east 4 houres 40 min. The other 3 Examples in the North Latitude 51 deg 32 min. the Sunne in Capricornus 1 The Sunne at