deg 40 min with the Poles Elevation 57 deg 10 min. we may find the difference assentionall to be 57 deg 55 min in time 3 hou 52 min which added to 6 hou the sume is 9 hou 52 min. added to 4 hou in the morning the Moons coming to the Meridian giveth 13 hou 52 min. or 52 min. past 1 hou afternoon and substracted from 4 leaveth 6 hou 8 min. at which time the Moon will rise the former day in the afternoon As for the Horizontall refraction and Parallax being of no great concernment in this matter to handle any further I desist Lastly I would advise Seamen that are versed in the principles oâ— Navigation as in the Sphere and Globs to furnish themselves with Ephimerides either Argol or Iohn Gadbury their Ephimerides which will continue these 28 years wherein they may have the true place of the Luminaries with the Moons Latitude for the Meridian or 12 a cloak each day SECT IX A declaration for the better understanding of these Everlasting Tables for the Ebbs and Floods following IF you be desirous at any time to know when iâ— is a full-Sea or high water at any Port or Haven either in Scotland England France or Ireland or any other part of the World If first by your own knowledge or the knowledge of any expert Mariner you know when you see the Moon in such a part of the Firmament that then it is ful-Sea at such a Port or Haven then these Tables shall be needless for you But if you cannot so do and would learn then resort to this Table And first consider with your self how many days old the Moon is the day that you desire to know the Tyde And in the middle of this Table you shall find in the uppermost part thereof this tittle The Age of the Moon and right against the day of the Age of the Moon you shall find on both sides the places and points of the Firmament as South South by West South South-West c. And next under that Line are these letters Ho. and Min. which signifieth Hours and Minuts Then having in memorie the Age of the Moon as aforesaid go directly to the tittle of that place of the Firmament to the which when the Moon cometh maketh a high Water and there you shall find the exact Hour and Minut when it is ful-Sea in that place As for Example Where it flowes South by West as at Aberdeen I desire to know at what time it will be full-Sea at that place the 10 day of the Moon I apply my self to the Table and I find the flowing at Aberdeen South by West then looking in the Column of the Age of the Moon I find the day of the Moon 10 and right against the same upon the left hand I find 8 hours 45 minuts at which time in the Evening it will be full-Sea at that place but if it be the 25 day of the Moon you shall find the same flowing to be at 8 hours 45 minuts in the morning Another Example Where it flowes South-West by South as at Lieth I desire to know at what time it will be full-Sea at that place the said 10 day of the Moon I apply my self to the Table and I find the flowing at Lieth South-West by South then looking in the Column of the Age of the Moon I find the day of the Moon 10 and right against the same upon the right hand I find 10 hours 15 minuts at which time in the Evening it will be full-Sea at that place but if it be the 25 day of the Moon you shall find the same flowing 10 be at 10 hours 15 minuts in the morning and accordingly throughout these following Everlasting Tyde-Tables at BuchaÌ„ness and all the South-side of the Murray-Firth Cromarty Millorchy Inverness Findorne Spey Bamff Peterhead Isle of Wight at Deal at Dover-Peer on the Coast of Flanders c. at Newbrugh Aberdeen Stoâ—hyve Redbane at Flushing within the Maes at Maldox at the VVest-end of the Nower at Blacktail at Rochester at VVinchelsey and within Terveer c. The Age of the Moon at Montrose the out-end of â—ay St. Andrews Cryle Eâ—ster and all along the Coast of â—isse to Brunt Island before Gaurie and at Graves-end under Holy-Island and at Horn c. at Lieth in the Firth at Dundee Brunt Island Holy-Island St. Lucas wthout Bluet at Denby without Fount-nay at Lisbon before the VVeilings c. South S. by W. ☽ ☽ S. S. W. S. W. by S. North. N. by E. N. N. E. N. E. by N. Ho. Min. Ho. Min. In. De. Ho. Min. Ho. Min. 12 48 1 33 1 16 2 18 3 3 1 36 2 21 2 17 3 6 3 51 2 24 3 9 3 18 3 54 4 39 3 12 3 57 4 19 4 42 5 27 4 0 4 45 5 20 5 30 6 15 4 48 5 33 6 21 6 18 7 3 5 36 6 21 7 22 7 6 7 51 6 24 7 9 8 23 7 54 8 39 7 12 7 57 9 24 8 42 9 27 8 0 8 45 10 25 9 30 10 15 8 48 9 33 11 26 10 18 11 3 9 36 10 21 12 27 11 6 11 51 10 24 11 9 13 28 11 54 12 39 11 12 11 57 14 29 12 42 1 27 12 0 12 45 15 30 1 30 2 15 at Ennerkything Quensferrie st Margarets-Hoop Borrowstonness Lyme-Kills all above Inâ—hgarvie except Stirling-Bridge at LONDON and before Newcastle at AmsterdaÌ„ Armentiers c. from Buchan-ness and all alongst the Coast without above the May or Highland in the South-Firth and from Flambrough-head to Birdâ—ing ton Bay without Ostend at Brest before the Bass c. The Age of the Moon A little off the Shore before Humber between Brid lington and Lowerness at Lands-end of Golph from Ostend to St Catharins at Aberwark in the Bree sound Baltimore Mousehole Dungarvan c. at Arbroth Falmouth between Silly and Lizard in Milford Moonless St. Maloes at Caldy and in the Bay of Canarvan at the mouth of Severn Foy Humber New-Castle Garnsey and Wales c. S. W. S. W by W. ☽ ☽ W. S. W. W. by S. N. E. N. E. by E. E N. E. E. by N. Ho. Min. Ho. Min. In. De. Ho. Min. Ho. Min. 3 48 4 33 1 16 5 18 6 3 4 36 5 21 2 17 6 6 6 51 5 24 6 9 3 â—8 6 54 7 39 6 12 6 57 4 19 7 42 8 27 7 0 7 45 5 20 8 30 9 15 7 48 8 33 6 21 9 18 10 3 8 36 9 21 7 22 10 6 10 51 9 24 10 9 8 23 10 54 11 39 10 12 10 57 9 24 11 42 12 27 11 0 11 45 10 25 12 30 1 15 11 48 12 33 11 26 1 18 2 3 12 36 1 21 12 27 2 6 2 51 1 24 2 9 13 28 2 54 3 39 2 12 2 57 14 29 3 42 4 27 3 0 3 45 15 30 4 30 5 15 At Lin half-tyde Weighmouth Wells and Waterford Hull Londey
THE MARINER'S everlasting Almanack Wherein is set down diverse Motions of the Moon with Rules and Tables for finding Her Age every day and when She cometh to the Meridian also the time of Her true Rising and Setting fully examplified and proved Together with Everlasting Tyde-Tables containing the true Ebbings and Flowings throughout the most part of the Sea-Ports and Towns in Europe As also An excellent Table shewing the exact Rising and Setting of the Sun for every five dayes with the Degrees propper to the Sun's place And Lastly A pleasant Dialogue containing some Orthographicall and Steriographicall Questions with severall other usefull things most necessary for the Good of this NATION but more especially for the use of our gallant Seamen Calculated for the Latitude of 57 Degrees 10 minuts By Iohn Forbes Printer to BON-ACCORD 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 The second Edition much Corrected and Enlarged ABERDEEN Printed by the Author Printer to the TOWN and UNIVERSITIE Anno 1683. GOD SAVE KING CHARLES Long may HE Live and Reign with all that RACE By Whom we doe enjoy much Grace and Peace Insignia Vrbis abredonie Apelles stairing long did look upon The Learning Policy and Generous Mind Of that brave CITY plac'd 'twixt d ee and DONE But how to Paint it he could never find For still he stood in judging which of Three A Court a Colledge or a Burgh it be FLOREAT BON-ACCORDIA TO His worthy and much respected Good Friend Captain IOHN TYLER at Lieth SIR HAving heard of your Fame and of your industrious and vigilant Endeavours into the Mathematicall rare Inventions even in your younger years and especially into that famous and noble Art of Navigation and that from the mouth of a Credible Person who was at that time a Teacher of the Mathematicks at London have therefore made bold tho unacquainted to present You with a second Edition of this Enchiridion or smal Treatise to be sheltered under the Protection of Your Patrocinie Whom I trust is able to defend and assist me in Truth and Veritie against all malevolent and backbiting Opposers who through their blind ignorance doth falsly check us of Truths and some small oversights as may be seen into the Tyde-Table of Lieth Printed into an Almanack at Edinburgh for this present year 1683 set forth by James Paterson Mathematician Wherefore expecting your favourable Acceptance of this small Embryo which shall ere long incourage me to publish abroad a larger Treatise on that excellent Art of Navigation for the speciall use of all our Loyal brave Sea-men and Mariners whose painfull Labours tend much for the Good of this Ancient KINGDOM Thus wishing You and all the Worthie Fraternitie of Masters of the Trinitie-house at Lieth all happiness here in this World and Eternall Mansions of Joy in the World to come I ever remain SIR Your humble Servant Iohn Forbes Printer to BON-ACCORD An Introduction to the perpetuall Tyde-Table or Table of Ebbing and Flowing in the most speciall Sea-Ports in Europe THere are diverse Motions of the Moon being 15 in number accounted by Ricciolus in his Almagesto Novo Astronomiae lib. 4. cap. 18. But here I intend to treat of those Motions that are most usefull for Seamen and Mariners according as their daily practise doth require SECTION I. The first Motion of the Moon The first motion of the Moon called the diurnall oâ— daily motion being the revolution of the Moon from the East to the West and from thence to the East in 24 houres or rather almost in 25 houres so that the Moon in this motion is slowest of all the sideâ—iall Bodies not following altogether the motion of Primum Mobile in 24 houres For if the Moon be observed to be in Conjuâ—ction with any fixed Star this night the next night following she shall be found to be distant from the same 13 degrees 10 minuts 35 seconds to which in the Aequator answereth to 52 min of time This motion being her propper middle motion iâ— longitude performed under the Zodiack because a formerly I have mentioned she performeth 13 degree 10 minuts 35 seconds by her middle motion which is betwixt the slow and the swift and passeth through the Zodiack in 27 days 7 hours 43 minuts and this space of time is called the Periodicall moneth But because the Sun moveth daily in the Eccliptick 59 min 8 sec 20 thirds towards the East therefore the Suns motion being substracted from the middle motion of the Moon in Longitude there shall remain the distance of the Moon from the Sun 12 degrees 11 minuts 26 seconds 41 thirds SECT II. The Second Motion of the Moon The Synodicall moneth or moneth of Conjunction being longer then the periodical Moneth because the Moon being in Conjunction with the Sun as admit in the first of Aries the Moon having prescribed her motion through the Zodiack in 27 dayes 7 hours 43 minuts doth not find the Sun in this point of the Zodiack because the Sun since the last Conjunction is passed towards the East therefore that there may be a Conjunction of the Sun with the Moon she is to pass a whole Sign almost before she can come to be in Conjunction with the Sun and this is called Lunatio vera But if we have respect to the true motion the space of the middle Lunation being 29 dayes 12 hours the longest 30 dayes the shortest 28 dayes 23 houres From hence it followeth that 12 Synodicall moneths maketh a Lunar year to consist of 354 days but the Solar year consisting of 365 days 5 hours 4â— minuts maketh the difference 11 days being called the Epact which is 〈◊〉 â—â—ference betwixt the Solar and Lunar Year SECT III. The third Motion of the Moon The third motion is the motion of the Nods of the circle of the Moon contrare to the order of the Signs for the Orbite of the Moon is inclined to the plain of the Eccliptick by an Angle of 5 degrees in New and full-Moons or 5 deg 18 min. in the quarters which Latitude of 5 degrees being the greatest is called the Belly of the Dragon because of the similitude they have with a Dragon or Serpent as is formed by the Peripherie of the Lunar Eccliptick with the Peripherie of the Orbite of the Moon the one being called the North and the other the South The points wherein there is no Latitude or where the Orbite of the way of the Moon cutteth the Eccliptick being immediatly opposed are called the Nods whereof the one is called the Nothern and ascendent because to us that are to the North ward it is alwayes higher ascending towards our Pole and Zenith and therefore it is called Caput Draconis or head of the Dragon marked thus ☊ The other Node or Intersection is called Southern descending or the Taile of the Dragon marked thus ☋ These Nods or points of the intersection near about which falleth out the Eclipses of the Sun and Moon are observed to move contrare to the Order
of the Signs the middle motion of the same being 3 minuts 10 seconds 38 thirds at nearest so that they will obsolve their period of motion through the Eccliptick about 18 years 228 days 3 hours 50 minuts But according to Copernicus in 18 years 223 days 6 hours 12 minuts This motion by some was thought to be equall but Tycho did find the same unequall where you are here to observe that your Golden Number is composed of this motion being the space of 19 years that the Nods do make their revolution in 19 years and how to find the same As also the Epact whereby we may find the Age of the Moon SECT IV. How to find the Golden-Number AS also to know at what time the Moon cometh to the Meridian First find the Golden-Number which is had by adding one to the Year of our Lord â—nd divyding the sume by 19 the remainder that rests over the division shall be the Golden-Number and â—he Quotient shall show how many revolutions are past since the head of the Dragon was in the first of Aries As suppose I desire to know the Golden Numâ—er for the year 1683 to the which an Vnite being â—dded the sume is 1684 which divided by 19 the â—emainder is 12 for the Golden-Number or 12 years â—re past since the head of the Dragon was in the first 〈◊〉 Aries and the most part of that year the same will remain in Leo and enters Cancer upon the 29 of October having performed 88 Revolutions as in the Quotient is evident SECT V. How to find the Epact HAving found the Golden-Number the Epact may be easily had for this year viz. 1683 by multiplying the Golden-Number by 11 being the difference betwixt the Solar and Lunar year the product is 132 which divided by 30 the Quotient is 4 and the remainder 12 which is the Epact for this year 1683 where you are to observe that the Golden-Number beginneth alwayes the first of Ianuary and the Epact the first of March SECT VI. How to find the Age of the Moon TO know the age of the Moon add to the Epact of that year in which you desire the Moons age the moneths from March inclusive with the dayes of the moneth and if the sume be less than 30 then the number is the age of the Moon but if the sume of the addition exceed 30 from the same substract 30 if the moneth have 31 days and if 30 substract 29 the remainder will be the age of the Moon the reason of this substraction was to return back the 11 days which was the difference between the Solar and Lunar year Example In the year 1683 I would know the Moons age the 10 day of August the moneth of August being the 6th and the Epact 12 the days of the moneth 10 these three E 12 M 6 D 10 added together the sume is 28 which sheweth the 18 of August to be the 28 day of the Moon And again if you require the age of the Moon the 28 day of August these E 12 M 6 D 28 three numbers being added together the sume is 46 from which 30 being substracted because the moneth hath 31 days the remainder is 16 so that the 28 of August 1683 is the 16 day of the Moon This way being frequently used by Sea-Men is not so exact as may be required therefore I would advise Sea-Men to take notice of the Yearly Almanacks Having the age of the Moon we may know at what time she cometh to the Meridian by the precedent Rule where the first day or 24 hours after the Coniunction or Change the Moon is 12 degrees distant from the Sun in time 48 min. or 3 quar 3 min. that â—he Moon cometh latter to the Meridian the first day and so for every day to the Opposition or Full-Moon Now to know at what time the Moon cometh to the Meridian accept of this following Table for this and another use as shall follow This following Table containeth five columns in â—he first and second ye have the Increass and Decreass of the Moons age as also in the third and fourth â—he hours and minuts that the Moon doth come to the Meridian for if thâ— Moon be increasing aâ— you may see by the letters Ie at the head of thâ— first column the hourâ— and minuts against thâ— same is the time of the Moons coming to the Meridian in the afternoon But if the Moonâ— be decreasing as you may see at the head oâ— the second column by the letters De. Then the houres and minuts sheweth the time of the Moons coming to the Meridian in the Morning The Moon 's Age â Moon coming to Meridian Moon 's Age ☽ In. ☽ De. ☽ Ho. Min. 1 16 0 48 29 2 17 1 36 28 3 18 2 24 27 4 19 3 12 26 5 20 4 00 25 6 21 4 48 24 7 22 5 36 23 8 23 6 24 22 9 24 7 12 21 10 25 8 00 20 11 26 8 48 19 12 27 9 36 18 13 28 10 24 17 14 29 11 12 16 15 30 12 00 15 Example The 5 day and the 20 day of the Moon I desire to know the Moons coming to the Meridian I find for both these days 4 hours showing that the 5 day the Moon cometh to the Meridian at 4 hours afternoon and the 20 day at 4 hours in the morning the columns of hours and minuts are had by multiplying the Moons age by 4 and divyding the product by 5 and if any remain over the division is the numerator of the fraction and for every Vnite account 12 minuts so you shall have the hours and minuts of the Moon 's coming to the Meridian as in the Table you may find As for Example the 7 day of the Moon I desire to know at what time in the afternoon she cometh to the Meridian so 7 multiplied by 4 the product is 28 which divyded by 5 the quotient is 5 hours and 3 remaining over the division giveth 36 minuts so that the 7 day the Moon cometh to the Meridian at 5 hours 36 minuts in the afternoon Some Examples Having found by the Rules or Table the Moons coming to the Meridian if there be any place where a South Moon maketh full-Sea as at the Isle of Wight I say that the 7 day of the Moon it will be Full-Sea or high water at that place at 5 hours 36 minuts But if the flowings be to the Eastward then you are to substract 3 quarters of an hour for every point of the Compass and the remainder shall show you the time of high water at that place As also I desire to know the time of full-Sea the 7 day of the Moon at Yarmouth where a South-South East Moon maketh full-Sea from 5 hou 36 min. substract one hou 30 min. the remainder is 4 hou 6 min. at which time it will be full-Sea at North-Yarmouth Again if at Lieth where a South-West by South Moon maketh a full-Sea you are to add
2 hou 15 min. for 3 points of the Comâ—ass because Westward flowings to 5 hou 36 min. â—he sume shall be 7 hou 51 min. at which time it will be full-Sea at Lieth SECT VII How to find the rysing and setting of the Moon LAstly to know at what hour the Moon setteth or riseth for any day of her Age for which purpose this small treatise was intended You may accept of the second use of this Table in which first you may know how long the Moon will shine or remain above the Horizon from the Conjunction or Change to the Full by knowing the Moons age in the first column and against the same in the third and fourth columns you shall have the hours and minuts that the Moon doth shine or remain after the Suns setting which being added to the setting of the Sun giveth the setting of the Moon Example I desire to know the 8 day of the Moon at what time she will set I find in the Table the 8 day of her age and in the third and fourth 6 ho. 24 min. for so long will she shine after the Sun setteth Then suppose the Sun to set at 5 hours in the afternoon which being added to 6 hou 24 min. the sume shall show the time of her setting at 11 hou 24 min. at night For the Moons rysing after the opposition or full look for the Moons age in the second column and the hou and min answering being substracted from 12 hou giveth the hou and min. that the Moon ryseth before the Sun which being substracted from the Suns rysing giveth the time of the Moons rysing For Example The 17 day of the Moon I find answering 1 hour 36 minuts which being substracted from 12 the remainder is 10 hou 24 min. that the Moon will rise before the Sun so that the Moon shineth 10 hou 24 min. in the morning before the Sun ryse and the Sun â—he same day rysing at 7 a clock 36 min. whereunto â—f I add 12 hou else the substraction cannot be made â—nd it maketh 19 hou 36 min from which 10 hours 24 minuts being substracted there resis 9 hou 12 min. â—t which time the Moon ryseth before midnight but â—or saving a substraction I have added the fifth coâ—umn and against the dayes of the Moons age you â—ave the complement of the hou and min. to 12 and â—o one substraction will serve The reason of this Table was had from Plinius in his lib. 8. cap. 12 â—nd from others as is mentioned by Ricciolus in his â—stronomie lib. 4. cap. 4 Prob. 12. Which Rule although not exact yet may serve for vuâ—gar use for â—s the Learned Kepler doth observe concerning this Rule of Plinius that Medium inter ejus enormia tenet A more exact and certain way may be had for the â—ime of rysing and setting of the Moon by knowing â—he place of the Moon in the Ecliptick which being â—ad for the time you require the Moons rysing and â—etting you are to apply your self to the last Table of the Suns rysing and setting and there finding the â—ign and Degree the Moon is into at the time required â—r when the Moon cometh to the Meridian by the â—â—rst Table with the Signs and Degrees then looking â—or the Suns setting being in the same signe and deâ—ree which being substracted from her coming to the Meridian giveth the time of the Moons rysing and being added giveth the time of her setting alsâ— which shall be evident by the following Examples for which purpose I have added a second Table shewing the Moons motion in signs degrees and minuts for every day and hour of her Age. Observing the 12 Signs with their marks and respective moneths the first 6 being N. Northern and the last S. Southern also there are 12 words in a verse for the 12 moneths each of them beginning with a vowel except the last P. in Paradice a consonant being for February and signifying the 8 day of February that the ☉ Sun will enter ♓ Piscesâ— â—or the rest add the number of the beginning vowel of each word to 8 the sume shall be the day of the moneth that the ☉ Sun entereth the respective sign as E in Evil being the second vowel with 8 giveth 10 the day of March the Sun entereth ♈ Aries as also O in Objects being the 4 vowel added to 8 is 12 shewing the Sun to enter ♋ Cancer the 12 of Iune and so accordingly in all the rest The six Northern Signes March April May Iune Iuly August ♈ Aries ♉ Taurus ♊ Gemini ♋ Cancer ♌ Leo â™ Virgo 2 Evil 1 attends 3 its 4 object 5 unvailed 5 vice The six Southern Signes Septem Octo. Novem. Decem. Ianuar Februar ♎ Libra â™ Scorpio â™ Sagit ♑ Capri. â™’ Aqua ♓ Pisces 5 Vain 5 villans 3 jest 3 into 1 A 8 Paradice A Table shewing the Moon 's Motion in Signs Degrees and Minuts for every Day and Hour of her Age. The Dayes of the Moon 's Age. â Age Si. Deg. Min. 1 0 13 11 2 0 26 21 3 1 9 32 4 1 22 42 5 2 5 53 6 2 19 3 7 3 2 14 8 3 15 25 9 3 28 35 10 4 11 46 11 4 24 56 12 5 8 7 13 5 21 18 14 6 4 28 15 6 17 39 16 7 0 49 17 7 14 0 18 7 27 11 19 8 10 21 20 8 23 32 21 9 0 42 22 9 19 53 23 10 3 3 24 10 16 14 25 10 29 25 26 11 12 35 27 11 29 46 28 0 8 56 29 0 22 7 30    The Hours of the Moon 's Age. Ho. Deg. Min. 1 0 33 2 1 6 3 1 39 4 2 12 5 2 45 6 3 18 7 3 51 8 4 24 9 4 56 10 5 29 11 6 2 12 6 35 13 7 8 14 7 41 15 8 14 16 8 47 17 9 20 18 9 53 19 10 26 20 10 59 21 11 32 22 12 5 23 12 38 24 13 11 The use of this Table is as followeth and first observing that the Sun and Moon are both in one Signe and Degree at the Change and Conjunction which you may have by your yearly Almanack or Ephemeris As in the year 1683 I find the Conjunction or Change to be the 14 of Iuly at 2 in the morning the minuts being omitted as of no great concernment in this matter then from 2 in the morning to 12 at midday there are 10 hours to the which answereth the hours of the Moons age 5 degrees 29 minuts which being added to 1 degree 3 minuts of Leo the signe and degree the Sun and Moon was into at the change the sume is 6 degrees 32 minuts and this is the place of the Moon the 14 of Iuly at noone But with more certainty by an Ephemeris into the 7 deg of Leo the 14 day at noon Secondly I desire to know the Moons place the 25 of Iuly so then between the 14 of Iuly and the 25 are 11 days inclusive
and in the table of the days of the Moons age are 4 signes 25 degrees Lastly seeing the Moon cometh to the Meridian the 11 day at 8 hours 48 minuts to the which doth answere nearest in the table of hours 4 degrees 56 minuts these four being added together  S. D. M. First the ☽ being in the 1 deg 3 min of ☊ being 4 1 3 Secondly from 2 morning to noon being 10 hours 0 5 29 Thirdly the 11 day at noon 4 25 00 Lastly for 11 days in the first table 8 ho 48 min. is 0 4 56 The sume is 9 6 28 And this much for the first way These 9 Signs 6 deg 28 min. showeth the Moon to be in the year 1683 Iuly 25th into the 6 degree 28 minuts of Capricorn minuts being omitted in both so the difference is but small and no wonder that there be a difference the Ephemeris by calculation being more exact then that which we can expect from this Enchiridion where you are to observe having found the place of the Moon which if it had exceeded 12 signes ye were then to substract 12 and the remainder counted from Aries inclusive shall be the Moons place But having found the same to be in the 7 degree of Capricorn and the Sun in the same by the last table of the Suns rysing and setting ye shall find the Sun being in the 7 degree of Capricorn to set in the Latitude of 57 deg 10 min. at 3 hou 15 min. which being added to 8 hou 48. min. the Moons coming to the Meridian showeth the setting of the Moon to be at 12 hou 3 min. about midnight and being substracted from 8 hou 48 min. the remainder is 5 hou 33 min. for the rysing of the Moon in the afternoon And accordingly you may know the rysing and setting for any other day of her age either increasing or decreasing Upon these grounds an Instrument may be made for performing of the same without Tables And this much for the second way The Third Way In the same year 1683 December 17 being the 10 day of the Moon and coming to the Meridian at 8 a clock in the afternoon I find the Moon to be in 23 degrees of Aries having 5 degrees 16 minuts South-Latitude which being substracted from 8 degrees 58 minuts the Suns Declination being in 23 of Aries is 3 degrees 42 minuts which may be called the Moons Declination or distance from the Equinoctiall Northerly though not propperly because the Latitude of the Moon or Star is said to be an Arch of a great Circle contained between the body of the Moon or Star and the Eccliptick passing by the Eccliptick Poles and the Declination an Arch of a great Circle contained between the body of Sun Moon or Star and the Equinoctiall passing by the Poles of the World But the difference between the two Arches being small and of no great consequence to this matter we look in the tables of Declination for 3 deg 42 min. in Aries in which sign and degree the Sun being setteth about 6 hou 10 min. which added to 8 hou the Moons coming to the Meridian the sume is 14 hou 10 min. or 2 hou 10 min. in the morning the Moon will set and being substracted from 8 hou the remainder 1 hou 50 min. for her rysing afternoon Now by the second way wherein there is no respect had to the Latitude of the Moon we find the Sun being in 23 deg of Aries to have his half semidiurnall Arch 6 hou 56 min. which being added to 8 hou the Moons coming to the Meridian giveth 14 hou 56 min. for her setting and substracted from 8 hou giveth 1 hou 4 min. this being an error ought to be seriously considered as not being tollorable the half Semidiurnall Arch only being 6 hou 10 min. and not 6 hou 56 min. by considering the Latitude Having formerly made mention that the Moons Latitude being added or substracted from the Moons true Declination of Longitude the difference is of no great consequence as I shall illustrate in these following cases supposing the Moons Longitude to be in the 15 degree of Taurus SECT VIII A description of the following Sphericall Triangle Let there be an oblique Sphericall Triangle as A B C projected in the plain of the Solistitiallâ—olure either Orthographice according to Ptolomies â—nalemma or Steriographice according to Gemma â—risius his Astrolob the Arch A B shall repreâ—ent the distance between the two Poles to wit of â—he Diurnall and Annuall Motion being 23 deg 30 min. B C an Arch of the Co. Latitude of the Moon â—nd A C of the Co. Declination Dat. A B the Angle at B and B C to find A C or Complement being the Declination of the Moon NORTH ☽ Lat. ☽ Decl. Decl. 15 ♉ added Diff Deg. deg min. deg min. min 5 21 8 21 24 16 4 20 11 20 24 13 3 19 14 19 24 10 2 18 16 18 24 8 1 17 19 17 24 5 SOUTH ☽ Lat. ☽ Decl. Substracted Diff Deg. deg min. deg min. min 5 11 35 16 24 11 4 12 32 16 24 8 3 13 30 16 24 6 2 14 27 16 24 3 1 15 24 16 24 0 These two Tables I have composed for showing of the difference between the Moons Declination being had by the resolution of the former Triangle and the place of the Moon in the Eccliptick having either N. or S. Latitude As for Example I have taken the Moons Longitude to be in the 15 deg of Taurus whose Declination is 16 deg 24 min In the first table there are 5 columns First the Moons Latitude to 5 deg of N. Latitude Secondly the Moons Declination Thirdly the Declination of the 15 deg of Taurus being 16 deg 24 min. added to 5 deg of N. Latitude giveth 21 deg 24 min. the difference from the Moons Declination 21 deg 8 min. being only 16 min. and â—hat for the fifth column and so accordingly in all â—he rest The second table where the Moon hath South Latitude the Moon being in the same degree of â—he Eccliptick according to her Longitude ye have â—n the first column as formerly the Moons Latitude S. Secondly the Moons Declination and thirdly the Declination of 15 deg of Taurus from which if ye substract â—he Moons Latitude the remainder shall be 11 deg 24 min differing from the Moons Declination 11 min. What I have said here concerning N. or S. Latitude in the Northern Signs may be applyed to N. or S. Latitude in Southern Signs But if it be required when the Declination with the Latitude added is more then 23 deg 30 min. as I suppose the Moon to be in the 25 deg of Gemini having Declination 23 deg 26 min. North and the Latitude 5 deg 16 min. North the sume is 28 deg 26 min now to know the 20 day of the Moon at what time the Moon ryseth and setteth Having found the Declination of the Moon by what formerly hath been said to be 28
at Mathews and within Mounts Bay at the Clefts of the Texel in the Vourd at the Bay within Vshant in the Sea of Wales and Severn at Yough-Hall before Scarbrough at Seven-Isles without the Haven in the Broad Sound at Lawrens in Cork-Haven W. by S. or E. by N. Moon at Arâ—roth at Caldy and in the Bay of Canarvan at the Fourn in Foy at Falmouth at Garnsey at Humber in all the Havens on the South Coast of Ireland thwart of Londey and before Line in Malford at Moonless at St. Maloes at New-Castle in Plimouth and before St. Pauls in Ramsey at the mouth of Severn between Silly and the Lizard at the Spurn in Wales at Merles and all along the Coast of Bristol E. or W. Moon at Abermorick and Antwerp before Bremen and at Blackney in the Channel before Bourdeaux and at Bristol at Concallo at Dartmouth before Hambrough at Hull at the Holms and before Humbers mouth at Lin half â—yde at Londey at St Pauls in the Haven without Silly in the Channel and at Salcomb in Torbay and before the Tessell without Vshant at Wells at Weighmouth and at Waterford and St. Davids-head E. by S or W. by N. Moon at Bristol-Key between Foy and Falmouth in the Channel and at Foulness at Lime before St. Nicolas before Podessinsk in Russia at Sedmouth and at the Start at Weighmouth-Key E. S E. or W. N. W. Moon at Bridgwater at Cape Cleer before the Coast of Friezland and the Fly at Kilduyn at the Lizard by the Land between Musehole and Falmouth and in Milford Haven thwart of Plimouth Off the Start in the Channel in the Road of the Texel at the Ness by Wieringben and at Winterton at Exwater at Lands-end S. E. by E. or N. W. by W. Moon between Beachy and the Isle of Wight without the Caskets in the Channel at Dublin without the Fly at Lambey in St. Magnes Sound at Machnells Castle at the Needles at Isle of Wight thwart of the Isle of Wight in the Channel all within the Isle of Wight between the Isle of Wight and Beachy by the Shore at Yarmouth at Peter-Port at Harflew at the Hague S. E. or N. W. Moon at Penthland-Firth at Kirkwa at Elwick at the Mull-head at Catness at Orkney the Bass-Island at Dumbar at Kildren at the Isle of Man between Garnsey and the Caskets before Cromer before the Casket and Garnsey at Seven-Clifts before the Eastern and Western Emes and at Egmont at Frieze and Fair-Isles between Garnsey and Caskets at Harlem and at Homehead at Kildive at the Race of Portland within the Seyn before Schelbagh and at Seven Cliffs at the East end of the Weight and on Wieringen-Flats at Pool at Farro-head in the Channel between Farro head and the Mull of Kintire S. E. by S. or N W. by N. Moon at Alborough at the Caskets and at Chamberness at Dungeness and Dunnose thwart of Garnsey in the Channel at Leystaff and thwart of it without the Banks at Orford-ness at Shoram at Tergow at Deep S. S. E. or N. N. W. Moon Bulleyn deep at Cows in the Foss of Caen in Calice Road and in Chamberness-Road at Dover and in the Downs in the Freith and at the South-Foreland at St. Helens at Harwich and without the Banks of Harwich in Leystaff Road and at Long-sand-head all the Coast of Normandy and Picardy at Orfordness without the Banks and between Orford and Orwell-Waves at Seyn-head in Yarmouth Road and in Yarmouth-Haven at Brassie-Sound at St. Iohns-Deluce at Caâ—estoun and at Scraâ—sler S. by E. or N. by W. Moon before the Haven of Caven in the Chamber between Cripple Sand and the Creyl and at Culshot in Fair-Isle Roads and at the North-Foreland in the Chamber and Goreâ—end at Harwich within before Margate between the Naze and Warhead of Lower at Orfordness within the Sands at Rye and into Thames-Roads at Calshot A Table shewing the exact Rising and Setting of the Sun for every five dayes of each Moneth with the Degrees of the twelve Signs propper to the Suns-Place for the Lat. of 57 degrees IANVARY Sun's Place Days of the Monoth The Sun riseth The Sun setteth 22 ♑ 1 8 Hours 32 Min 3 Hours 28 Min. 26 5 8 Hours 24 Min. 3 Hours 36 Min 1 â™’ 10 8 Hours 18 Min 3 Hours 42 Min. 6 15 8 Hours 6 Min. 3 Hours 54 Min 11 20 7 Hours 55 Min. 4 Hours 5 Min. 16 25 7 Hours 46 Min. 4 Hours 14 Min. FEBRVARY Sun's Place Days of the Moneth The Sun riseth The Sun setteth 22 ♑ 1 7 Hours 29 Min. 4 Hours 31 Min. 27 5 7 Hours 20 Min. 4 Hours 40 Min. 2 â—â— 10 7 Hours 8 Min. 4 Hours 52 Min. 7 15 6 Hours 54 Min. 5 Hours 6 Min. 12 20 6 Hours 44 Min. 5 Hours 16 Min. 17 25 6 Hours 31 Min. 5 Hours 29 Min. MARCH Sun's Place Days of the Moneth The Sun riseth The Sun setteth 21 â—â— 1 6 Hours 22 Min. 5 Hours 38 Min. 25 5 6 Hours 12 Min. 5 Hours 48 Min. 1 â—â— 10 6 Hours 0 Min. 6 Hours 0 Min. 5 15 5 Hours 48 Min. 6 Hours 12 Min. 10 20 5 Hours 36 Min. 6 Hours 24 Min. 15 25 5 Hours 23 Min. 6 Hours 37 Min. APRIL Sun's Place Days of the Moneth The Sun riseth The Sun setteth 22 ♈ 1 5 Hours 7 Min. 6 Hours 53 Min. 26 5 5 Hours 0 Min. 7 Hours 0 Min. 1 ♉ 10 4 Hours 47 Min. 7 Hours 13 Min. 5 15 4 Hours 35 Min 7 Hours 25 Min. 10 20 4 Hours 26 Min. 7 Hours 34 Min. 15 25 4 Hours 12 Min. 7 Hours 48 Min. MAY. Sun's Place Days of the Moneth The Sun riseth The Sun setteth 21 ♉ 1 4 Hours 0 Min. 8 Hours 0 Min. 25 5 3 Hours 52 Min. 8 Hours 8 Min. 30 10 3 Hours 42 Min. 8 Hours 18 Min. 4 ♊ 15 3 Hours 36 Min 8 Hours 24 Min. 6 20 3 Hours 27 Min. 8 Hours 33 Min. 14 25 3 Hours 20 Min. 8 Hours 40 Min. JVNE Sun's Place Days of the Moneth The Sun riseth The Sun setteth 21 ♊ 1 3 Hours 15 Min. 8 Hours 45 Min. 24 5 3 Hours 13 Min. 8 Hours 47 Min. 27 10 3 Hours 12 Min 8 Hours 48 Min. 4 ♋ 15 3 Hours 12 Min. 8 Hours 48 Min. 9 20 3 Hours 15 Min. 8 Hours 45 Min. 13 25 3 Hours 16 Min. 8 Hours 42 Min. JVLY Sun's Place Days of the Moneth The Sun riseth The Sun setteth 19 ♋ 1 3 Hours 25 Min. 8 Hours 35 Min. 23 5 3 Hours 34 Min. 8 Hours 26 Min. 28 10 3 Hours 38 Min 8 Hours 22 Min. 2 ♌ 15 3 Hours 47 Min. 8 Hours 13 Min. 7 20 3 Hours 56 Min 8 Hours 4 Min. 12 25 4 Hours 6 Min. 7 Hours 54 Min. AVGVST Sun's Place Days of the Moneth The Sun riseth The Sun setteth 19 ♌ 1 4 Hours 21 Min. 7 Hours 39 Min. 23 5 4 Hours 33 Min. 7 Hours 29 Min 27 10 4 Hours 40 Min 7 Hours 20 Min 2 â™ 15 4
Hours 52 Min. 7 Hours 8 Min 7 20 5 Hours 3 Min 6 Hours 57 Min. 12 25 5 Hours 16 Min. 6 Hours 44 Min. SEPTEMBER Sun's Place Days of the Moneth The Sun riseth The Sun setteth â—9 â™ 1 5 Hours 33 Min. 6 Hours 27 Min. 23 5 5 Hours 43 Min. 6 Hours 17 Min. 27 10 5 Hours 55 Min. 6 Hours 5 Min. 2 ♎ 15 6 Hours 4 Min 5 Hours 56 Min. 7 20 6 Hours 17 Min. 5 Hours 43 Min. 12 25 6 Hours 29 Min. 5 Hours 31 Min. OCTOBER Sun's Place Days of the Moneth The Sun riseth The Sun setteth 18 ♎ 1 6 Hours 44 Min. 5 Hours 16 Min. 22 5 6 Hours 53 Min. 5 Hours 7 Min. 27 10 7 Hours 6 Min. 4 Hours 54 Min. 2 â™ 15 7 Hours 15 Min. 4 Hours 45 Min. 7 20 7 Hours 29 Min. 4 Hours 31 Min. 12 25 7 Hours 41 Min. 4 Hours 19 Min. NOVEMBER Sun's Place Days of the Moneth The Sun riseth The Sun setteth 19 â™ 1 7 Ho. 56 Min. 4 Ho. 4 Min. 23 5 8 Ho. 4 Min. 3 Ho. 56 Min. 28 10 8 Ho. 10 Min. 3 Ho. 50 Min. 3 â™ 15 8 Ho. 23 Min. 3 Ho. 37 Min. 9 20 8 Ho. 33 Min 3 Ho. 27 Min. 14 25 8 Ho. 39 Min 3 Ho. 21 Min. DECEMBER Sun's Place Days of the Moneth The Sun riseth The Sun setteth 20 â™ 1 8 Ho. 4 Min. 3 Ho. 8 Min. 24 5 8 Ho. 47 Min 3 Ho. 13 Min. 29 10 8 Ho. 48 Min. 3 Ho. 12 Min. 1 ♑ 15 8 Ho. 48 Min 3 Ho. 12 Min. 9 20 8 Ho. 45 Min. 3 Ho. 15 Min. 14 25 8 Ho. 41 Min. 3 Ho. 19 Min. Thus Courteous Reader so much here is done Which may please all save Paterson alone Therefore to Our Dialogue let 's proceed In which I hope to clear my self indeed A Mathematicall Dialogue BETWIXT Iames Paterson Mathematician at Edinburgh And Iohn Forbes Printer to Aberdeen 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 Paterson I charge the Printer with severall Errors in his Almanack set forth and printed by him for the Year 1683. And first concerning the Eclipse which did fall out upon the 17 day of Ianuar in the afternoon wherein he is deficient in giving the Digits Eclipsed as also in reference to the tyme of the Eclipse duration Printer Courteous Reader I confess being about my serious Imployments in the Printing Press I could not have leasure to Calculate that Eclipse but made use of several Ephimerides as Vincent Wing and Samuel Morland c. And Argolus doth assert the Digits Eclipsed to be 10 and more Iohn Gadbury 9 Paterson 8 dig 13 min. as for the time Iohn Gadbury sayeth the middle will be at 3 hou afternoon the end at 4 hou 3 min or after the going down of the Sun for in the Latitude of 57 degrees 10 minuts being for Aberdeen the Sun seteth being in the 8 degree of Aquarius at 3 hou 57 min. but Paterson sayeth 10 min. before 4 hou at Aberdeen which is near half an hour a Prodigie which was never seen the Sun to set at 3 hou 30 min. at Aberdeen but by reason of the refraction the Sun may appear or show himself above the Horizon when he is not If so the parallâ—x be lesser then the refraction and so I may truely and warrantably say the Sun doth set at Aberdeen the 17 day of Januar at 4 hou 18 min. afternoon But granting I be redundant in some Minuts but not so grosly and as to say not so deficient as he is in saying the Sun being in the 8 degree of Aquarius seteth at 3 hou 30 min. but in trueth at 3 hou 57 min. But what doth this concern me My Antagonist cannot say there is any wrong done to the Vulgar or Horascopographier But as for that Eclipse which by an Telescope of 6 foot long I did observe at the seting of the Sun and did not find above two digits of the Suns body obscured with no apparent darkness or shaddow of change by that Eclipse it was as we all say to West-ward Inhabitants But lastly I shall lay down some certain things to be observed in going about this Eclipse and some things I shall demand of this Mathematician in which I hope he will satisfie me except he be Mathematicus nomine tenus as I suppose for I shall be as Laconick as I can intending not to trouble the Reader with frivolous Expressions First supposing the middle tyme of the Eclipse to be at 3 a clock in the afternoon according to Iohn Gadbury First Granting the true places of the Luminaries with the Moâ—ns-Latitude either by Calculation or Ephimerides Secondly I find the right ascention of the Sun in 8 degrees of Aquarius to be 310 degrees added to 45 degrees or 3 hours giveth 23 hou 42 min. which sheweth the 25 degree of Pisces to be on the Meridian or Medium Coeli and the Ascendent 28 deg 28 min. of Cancer and consequently the Nonagisimo degree falleth in 28 deg 28 min. of Aries being East ward of the Meridian 33 deg 28 min. Thirdly The Declination of the 25 deg of Pisces added to 57 deg 10 min. giveth 59 deg 9. min the Arch of the Meridian between the 25 degree of Pisces and the Zenith Fourthly The Angle of the Ecliptick with the Meridian being 66 deg 33 min. giveth the Arch between the Nonagesim and the Zenith by saying as R Sine 59 deg 9 minâ—â— Sine 66 deg 33 min Sine of 51 deg 48 min. Fifthly Having the true Latitude of the Moon with the Parallax of Altitude and having found the Parallacticall Angle that is to say the Angle made by the Ecliptick and Vertical drawn through the Center of the Moon to be 52 deg 11 min. Sixthly The Altitude of the Sun being at 3 hours in the afternoon in the Latitude of 57 deg 10 min. is 5 deg 41 min. These being premised I desire to know of James Paterson the Parallax of Altitude Longitud right Ascention and Declination whereby we may know the tyme of the visible Conjunction the beginning of the Eclâ—pse the middle and end end with the Digits Eclipsed whither above or under the Center of the Sun There are here required the resolution of severall Triangles wherein ex tribus datis quartus requiritur either by Calculation or Projection Paterson Also he errs again in his Tyde-Table at Lieth as if the Moon were not able to rule the Tyde here as at Aberdeen Printer As for the flowings at Lieth which he carps at they are not set down by my self at upon my own account but in so far as they have been approved of by ancient Seamen Masters and Coasters asserting that at Lieth a S. W. by S. Moon maketh at nearest a full-Sea This being a generall Observation therefore doth admit of some particulars as the Wind blowing at such and such an Art causeth the flowings to varie sometymes an half point and sometymes more in setting the flowings high and other times low
a degree upon the Meridian to contain 367200 foot English and a myle 6120 so that an Aegyptian pace containeth 6 15 English and an Aegyptian foot 14 75 English inches at nearest But passiâ—g the fraction we take in numero roâ—undo 6 foot to the English pace and consequently 6000 foot to a myle in English measure Now let us câ—mpare Scots with English and first ye say that 37 English inches according to your standerd at Edinburgh giveth an Ell Then a Fall oâ— Pole being 6 Ell giveth 2â—2 Inches 222 by 4 the length of a Chain the product is 888 which being multiplyed by 80 giveth 71040 and divyded by 12 the quotient is 5920 Foot 's short of 6000 by 80 Foot Again 42 Scots Inches in an Ell as of the old standerd that is 3 Foot and a half the Pole or Fall being 21 Foot the Chain 84 Foot multiplied by 80 giveth 6720 Foot for the length of a Scots Myle which being reduced to an English Myle say as 10 9 6720 6048 English so that here the difference is onely 48 Foot whereby the Scots Myle exceeds the English and no wonder because 6000 doth admit a Fraction which will be near equivalent to 48 Foot and therefore Mr Norwood's Practise doth altogether agree with a Scots Myle But it may be said or inquyred of me the reason why I say as 10 9 6720 6048. I answere because if an English Inch be divyded in 10 parts 9 of these doth answere to a Scots Inch Therefore being to reduce English to Scots measure say as 9 10 but Scots to English say as 10 9. These being premised I would advyse Surveyers here as in Englandâ— to divide their 4 Pole Chain into a 100 parts which we call Links and there will answere 10 Inch to a Link this Chain so divyded is very profitable for Surveying of Grounds or Plating and giving the Area as ye say 4 Pole in Latitude and 10 in Longitude giveth 160 square Poles for the Area so also 1 Chain or 100 Links in breadth multiplied by 10 Chains or 1000 Links in length giveth for the Area 10 square Chains or 100000 square Links 75000 Links 3 Rood 50000 Links 2 Rood 25000 Links 1 Rood or 40 Pole 625 Links square for a Pole This I have premised for the benefit of Surveyers they making use of the Diagonall-Scale of Inch and half Inch or of any other Measure Diagonally divided Paterson Also in my Advertisement being the last in my Almanack such as desire Mathematicall-Arts or Instruments thereto belonging especially a Spirall-Lyne which I have so framed that you may work more Arithmetick in one houre then any other in two dayes with the pen. Printer Ye sâ—y ye have framed a Spiral-Line so as the same had never been framed before I had a true relation from one that was a teacher of Mathematicks at London 40 years agoe who told me that one Mr. Brown a Carpenter who lived at London in the Minaries near Tower-hill was the first that did frame 3 Spiral-Lines upon a Circular Instrument for Artificial-Numbers Sines and Taâ—gents having two Brass Indices or Legs fixed upon the Center and opening in manner of a Sector so that when 3 Terms were given to find a fourth the one Leg was placed to the first Terme and the other to the second then turning the Legs upon the Center not being altered or changed the first to the third Terme the second shall give the fourth requyred whither the work be in Trigonometrie Plain or Spherical or in Arithmetick simply This Instrument can be had at London being more serviceable then his which is only for Arithmetick He sayeth â—hat by this Instrument they may work more Arithmetick in one houre then any other in two days with the Pen But I say in Arithmetical-Problems with the Pen shall work more in one hour then he and his Spiral Line shall do n 10 dayes MART. Carpere vel noli nostra vel ede tua A POSTSCRIPT By way of Epistle to the Candid-Reader Courteous Reader IT was an excellent Saying of CICERO All the Praise of inward Vertue consisteth in the Good of outward Actions Therefore not only is it my Genious but earnest desire to serve my Countrey into every thing most usefull and necessary for the Good thereof especially into that Noble and Famous Art of Navigation without which all Trade and Commerce in every Kingdom should quite languish and decay I have therefore in this small Treatise explained the three severall Motions of the Moon viz. her slow Motion her middle Motion and her swift Motion together with Tables for her true rising and setting also shewing her Motion in Signs Degrees and Minuts for every day of her Age with Everlasting Tyde-Tables for the Ebbs and Flowings of the Sea according to the Points of the Compass and the Moons daily Age with the Hours and Minuts not only for the Coast of Scotland which was never yet so fully mentioned by any but also for all other places in the World And having revised and compared the best Authors who mention these Flowings and finding the most part of them differing from each other in the same have therefore by advyce of judicious Sea-men made use of the best and surest of them Nevertheless I humbly intreat any of our Experienced Industrious and most Laborious Sea-men who have Navigated these places that they will be pleased to help any small oversights if there be any and send me information thereof by a Line and accordingly I shall be most carefull to amend the same in the next Impression being most willing to extend my self for the Advancement of that Noble Art intending if this Impression go well off for my Encouragement and be well taken to publish another Excellent peece of Navigation very shortly Lastly You have here a Mathematicall Dialogue betwixt Iames Paterson pretended Mathematician at Edinburgh and Me Iohn Forbes Printer to the City and Kings Vniversity of Aberdeen in which Dialogue I have converted Vulgar Fractions into Decimalls and therefore any intelligent Person may reap some knowledge and I hope be well pleased with the same For without any just Ground or Provocation given Iames Paterson did most ignorantly Rhyme against me into his Almanack for the year 1683 and likewise into his Almanack for the year 1684 making a great noise concerning the mistake of two dayes for Hallow-Even altho Hallow-Day was exactly right both for the day of the Week and day of the Moneth for all the World knoweth Hallow Even to fall upon the night before Hallow-Day But his Errors are more gross making the Flood of Noah in his Chronologie in all his Almanacks three hundred years short A very beastly Error besides other gross Errors which I forbear at this occasion any more to mention For as the good old Saying is Envy shooteth at others and woundeth her self Truely I am heartily sorry that both Mathematician and Printers are so evil Principled in the Grounds of Christianity as