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A51382 The description and use of two arithmetick instruments together with a short treatise, explaining and demonstrating the ordinary operations of arithmetick, as likewise a perpetual almanack and several useful tables : presented to His most excellent Majesty Charles II ... / by S. Morland. Morland, Samuel, Sir, 1625-1695. 1673 (1673) Wing M2777; ESTC R30529 52,944 150

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48 28 7 31 4 29 8 14 3 46 8 12 3 48 29 7 33 4 27 8 14 3 46 8 11 3 49 30 7 34 4 26 8 15 3 45 8 10 3 50 31 7 36 4 24         8 9 3 51 A Table shewing the length of the longest Artificial Day in all places from the Equinoctial to the Poles of the World Heig Long. day Heig Long. day Heig Longest day Pole H. M. Pole H. M. Pole D. H. M. 00 12 00 47 15 42 68 42 01 16 06 12 20 48 15 52 69 54 16 25 12 12 42 49 16 00 70 64 13 46 16 12 58 50 16 10 71 74 00 00 20 13 12 51 16 20 72 82 06 36 24 13 30 52 16 30 73 89 04 58 27 13 42 53 16 42 74 96 17 00 30 13 56 54 16 54 75 104 01 04 32 14 06 55 17 08 76 110 07 27 34 14 16 56 17 22 77 116 14 22 35 14 22 57 17 36 78 122 17 06 36 14 28 58 17 52 79 127 09 55 37 14 34 59 18 10 80 134 04 58 38 14 38 60 18 30 81 139 31 36 39 14 44 61 18 54 82 145 06 43 40 14 52 62 19 20 83 152 02 06 41 14 58 63 19 50 84 156 03 03 42 15 04 64 20 24 85 161 05 23 43 15 12 65 21 10 86 166 11 23 44 15 18 66 22 18 87 171 21 47 45 15 26 66½ 24 00 88 176 05 29 46 15 34 67 24 Days 89 181 21 58             90 187 06 39 The following TABLES Are of excellent use and do readily discover the exact time of the New Moon Full Moon As likewise the First and Second Quadrats And consequently her true Age. And this from the year of our Lord 1673 to the year 1700. EXAMPLE In the Moneth of April 1673 and the 14th day of the Moneth the Table for that year will discover over against the said Moneth April First That the New Moon happens to be the fixth day of that Moneth and the 13th hour of that day That is 10 Minutes past 1 of the Clock at night remembring always that the dayes are to be accompted from Noon Secondly That the first Quadrat is the 13th day 10 min. past 9 at night Thirdly That the Full Moon is the 20th day 11 min. past 12 at night Fourthly The Second Quadrat is the 28th day 1 Min. past 12 at night Fifthly And Lastly because the Moon changes on the sixth day and 8 added to 6 makes 14 therefore the Moon is 8 dayes old upon the said 14th day of April But if you will be more exact you must Accompt For the First Quarter of the Moon 7 d. 09 h. 11 m Full Moon 14 d. 18 h. 22 m Last Quart 22 d. 03 h. 33 m Time from Moon to Moon 29 d. 12 h. 44 m An Explanation of the double Numbers in the Table EXAMPLE In the first Quarter of the Moon in the Moneth of May in the year 1674. I find the 2 Numbers viz. The meaning whereof is that in the said moneth of May the first quarter of the Moon happeneth to be both upon the first day 12th hour 45th minute And likewise upon the 3●th day 16 houres 30 m. of the same Moneth The which is to be so read and so understood in any other year or month 1673. New ☽ 1. Quar. Full ☽ 2. Quar. D. H. M. D. H. M. D. H. M. D. H. M. January 7 14 07 15 15 37 22 01 10 29 05 20 Februa 6 06 29 13 20 58 20 12 06 27 23 11 March 8 00 12 15 04 06 21 23 38 29 18 12 April 6 13 10 13 09 14 20 12 11 28 12 1 May 5 23 11 12 14 12 20 01 35 28 10 26 June 4 07 10 10 21 05 18 15 57 26 18 20 July 3 14 09 10 06 38 18 06 59 26 03 42 August 1 31 20 5 44 17 8 19 24 16 22 21 24 15 01 Septem 29 15 15 7 11 17 15 13 42 22 22 22 October 29 3 58 7 5 51 15 4 25 22 4 41 Novem. 27 19 37 6 1 59 13 18 6 20 11 47 Decem. 27 9 17 5 22 33 13 6 19 19 20 59 1674. New ☽ 1. Quar. Full ☽ 2. Quar. D. H. M. D. H. M. D. H. M. D. H. M. January 26 08 41 4 16 17 11 17 22 18 09 09 Februa 15 03 15 3 09 51 10 03 15 16 23 47 March 26 18 52 4 22 44 11 12 45 18 16 12 April 25 09 00 3 07 19 9 22 16 17 09 25 May 24 21 01 1 31 12 16 45 30 9 06 27 17 02 54 June 23 06 24 29 21 07 7 19 42 15 19 44 July 22 14 22 29 04 24 7 08 40 5 11 32 August 20 21 58 27 14 47 5 23 12 14 1 56 Septem 19 0 5 26 5 0 4 15 49 12 14 25 October 18 15 40 25 22 41 4 8 18 12 1 9 Novem. 17 3 7 24 19 3 3 1 18 10 9 45 Decem. 16 17 14 24 15 54 2 17 16 9 17 14 1675. New ☽ 1. Quar. Full ☽ 2. Quar. D. H. M. D. H. M. D. H. M. D. H. M. January 15 9 36 23 12 26 1 7 22 8 6 23 Februa 14 3 4 22 6 38 No Full ☽ 6 9 57 March 15 20 50 23 21 27 1 30 5 18 17 54 7 20 53 April 14 13 28 22 8 15 28 23 41 6 10 34 May 14 4 23 21 14 21 28 6 18 6 1 16 June 12 17 16 19 19 49 26 15 34 4 17 21 July 12 4 16 18 23 31 26 2 47 4 10 11 August 10 15 46 17 4 39 24 16 25 3 3 17 Septem 8 22 54 15 12 44 23 8 30 1 19 57 October 8 7 47 15 1 11 23 2 22 1 31 11 1 39 47 Novem. 6 17 24 13 17 6 21 21 8 29 13 27 Decem. 6 4 10 13 12 13 21 15 2 28 22 45 1676. New ☽ 1. Quar. Full ☽ 2. Quar. D. H. M. D. H. M. D. H. M. D. H. M. January 4 26 38 12 8 57 20 6 58 27 6 8 Februa 3 6 39 11 4 49 18 21 56 25 12 58 March 3 22 7 12 0 43 19 7 9 25 20 50 April 2 14 11 10 17 4 17 14 59 24 6 40 May 2 31 6 21 8 16 10 6 7 16 22 17 23 18 29 June 13 11 18 8 17 36 15 5 26 22 8 44 July 30 0 37 7 22 13 14 13 23 22 0 33 August 28 9 32 6 2 59 12 23 2 20 18 10 Septem 26 23 16 4 7 48 1 11 32 19 12 34 October 26 9 39 3 14 15 11 2 39 19 6 49 Novem. 24 19 52 2 0 6 9 20 49 18 0 2 Decem. 24 6 14 1 31 14 6 4 57 9 16 4 17 15 5 1677. New ☽ 1. Quar. Full ☽ 2. Quar. D. H. M. D. H. M. D. H. M. D. H. M January 22 17 30
the day of the Month which you shall find either above or beneath in that Column 2. From that day of the Month guide your eye back to the Number in the left-hand Margent that stands against it in the Column under the Title Day of the Month. 3. From that Number guide your Eye to 1 in the Table and in that Column find the Number that is the Number of the Prime for that Year and from thence guide your Eye to the right-hand Margent so have you your desire Example The Tenth day of May 1665. I desire to know what Sign the Moon is c. 1. The Prime for that Year is 13. 2. I find May in the left-hand Margent and guiding my Eye to 1 in the Table and in that Column to 10 the Day of the Month I bring my Eye back to 17 in the left-hand Margent 3. I look for 13 among the Primes and from that guide my Eye to 1 in the Table and finding the aforesaid Number 17 in that Column I do from that guide my Eye to the right-hand Margent and find that the Moon upon the Tenth of May 1665. is entring into Leo Ω and governs the Bowels and Belly A Table shewing the time of the Moons coming to the South and quantity of her shining The Moons age Moons southing shin Moons age for her shi 1 16 0 48 1 29 2 17 1 36 2 28 3 18 2 24 3 27 4 19 3 12 4 26 5 20 4 00 5 15 6 21 4 48 6 24 7 22 5 36 7 23 8 23 6 24 8 22 9 24 7 12 9 21 10 25 8 00 10 20 11 26 8 48 11 19 12 27 9 36 12 18 13 28 10 24 13 17 14 29 11 12 14 16 15 30 12 00 15 The use of this Table FInd the Moons age in the first Column and next against the same towards the right hand is the time of her coming to the South which from the New Moon to the Full Moon is always in the Afternoon but from the Full to the New it is in the Morning Example May 12. 1671. the Moon is fourteen days old which I find in the first Column against which towards the right hand in the second Column is 11. 12 which being before the Full of the Moon I conclude that the Moon comes to south May 12. 1671. at 11 a clock at Night and 12 Minutes past To know how long the Moon Shineth Enter the third Column with the Moons age and against it on the left hand you have the time of her shining which all the time of her Encrease being added to the hour of Sun rising gives the time of her rising But if added to the time of Sun setting gives the time of her setting But after the Full. Take the time of her shining from the Suns rising and it gives her rising and then take the same from the Sun setting it gives the time of her setting Example May 12. 1671. the Moon is 14 days old and I find 11 hours 12 minutes for the time of her shining which being added to the Suns rising upon the twelf of May 1671. viz. four hours makes 3 of the clock 12 minutes for the time of the Moons rising the next Morning Again to the said 11 hours 12 minutes add 8 hours from the Sun setting it gives 7 hours 12 minutes for the time of his setting Though these Rules are not altogether exact yet they come near enough the truth for ordinary use A Tide-Table of certain Havens in and about England whereby may be known what Moon makes a Full-Sea in any of the said places and how many ho. and min. are to be added to the time of the Moons coming to the South for the time of High-water South and North Queenborough Southamton Portsmouth Isle of Wight Spits Kentish Knock half-Tide at Dunkirk 0. H. 0 M. S by W N by E Rochester Maldon Aberdeen Redband West-end of the Nowr-Blacktail 0 H. 45 M. S S W N N E Gravesend Downs Rumney Ten net Silly halfe tide Blackness Ramkines Senebead 1 H. 30 M. S W by S N E by N Dundee St. Andrews Lisborn St. Lucas Bell Isle Holy Isle 2 H. 15 M. S W N E London Tinmouth Hartlepool Whitebay Amsterdam Gascoign Britain Galicia 3 H. 0 M. S W by W N E by E Barwick Hambrough-head Bridlington bay Burdeux Ostend Flushing Fountness 3 H. 45 M. W S W E N E Scarborough quarter-tide Lawre nas Severn Horkhave Dungarum Mounts-bay Kingsale Calice-Creek 4 H. 30 M. W by S E by N Newcastle Humber Falmouth Sal ly Dartmouth To bay St. Mallows Foy Garsy Liz 5 H. 15 M. East and West Plimouth Weymouth Hull Lyn Davids head Antwerp Lundy Holms of Bristol 6 H. 0 M. E by S W b N Bristol Foulness at the Start 6 H. 45 M. E S E W N W Milford Bridgewater Lands-end Waterford Abermorick Cape-Cleer Texel 7 H. 30 M. S E by E N W by W Portland Peterport Harflew the Hague S. Magnes south Dublin Lambay Macknels Cape 8 H. 15 M. S E N W Pool S. Hellen Catnes Orkney Fair-Isles Kilden Man-Isle Bass-Islands 9 H. 0 M. S E by S N W by N Needles Laisto North South Foreland 9 H. 45 M. S S E N N W Tarmouth Dover Harwich S. John de Luce Calice Road Bullein 10 H. 30 M. S by E N by W Rye Winchelsey Goree Thames Rhodes 11 H. 15 M. The Use of the Tide-Table Example May 12. 1671. I would know the Full Sea at London 1. By the foregoing Rules I find the Moon comes to South at 11 of the clock and 12 Minutes past at Night There I seek for London in this Table where I find that a S. W. or N. E. Moon makes a Full Sea and on the right-hand I find 3 hours 0 minutes which must be added to the Moons Southing That is 3 hours 0 minutes added to 11 ho. 12 min. makes 2 a clock and 12 minutes the next Morning for High Water at London-Bridge So that for any place and day the hours and min. in the Table are to be added to the Moons Southing which gives the true time of High-water for that place and day The time of the Suns Rising and Setting throughout the whole Year Days of the Month. January February March Sun rises Sun sets Sun rises Sun sets Sun rises Sun sets H. M H M H. M H. M H. M. H. M. 1 8 9 3 51 7 18 4 42 6 20 5 40 2 8 8 3 51 7 17 4 43 6 18 5 42 3 8 7 3 53 7 15 4 45 6 16 5 44 4 8 6 3 54 7 13 4 47 6 14 5 46 5 8 4 3 55 7 11 4 49 6 11 5 49 6 8 2 3 56 7 9 4 51 6 8 5 51 7 8 1 3 58 7 7 4 58 6 6 5 54 8 8 0 4 0 7 5 4 55 6 4 5 56 9 7 58 4 1 7 3 4 57 6 2 5 58 10 7 56 4 3 7 1 4 59 6 0