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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A52487 The seaman's companion being a plain guide to the understanding of arithmetick, geometry, trigonometry, navigation, and astronomy. Applied chiefly to navigation: and furnished with a table of meridional parts, to every third minute: with excellent and easie ways of keeping a reckoning at sea, never in print before. Also, a catalogue of the longitude and latitude of the principal places in the world with other useful things. The third edition corrected and amended. By Matthew Norwood, mariner. Norwood, Matthew. 1678 (1678) Wing N1345A; ESTC R218969 104,181 203

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the Difference of Latitude in the whole run 13 leagues 3 10 if you had West Longitude you must have subtracted thus likewise and that which was greatest the remainder belongs to OF A RECKONING FRom what hath been already shewed you understand that if the Latitude of two places be known and the Difference of Longitude between them you may find the bearing of them one from the other their distance asunder or any thing you desire and this is all so plain that if I set from a place and am bound to a place whose Latitude is known and the difference of Longitude also known between them and keep a reckoning of the departure both East and West that I make setting them down in two distinct Columns it is but subtracting one from the other and the remainder will be the East or West Longitude that I have made that of the two which was most also if I know what Latitude I am in and what Latitude the place lies in it is but subtracting the lesser from the greater and the remainder will be the difference of Latitude between your ship and that place provided the Latitudes be both one way Also subtract the Difference of Longitude that you have made provided that it be that way which shortens your Longitude between the place you set from and are bound to from the whole difference of Longitude between the two places and the remainder will be what is still between you and the place you are bound to but if your departure which you have made hath increased the difference of Longitude between the place you set from and are bound to add the remainder after your subtracting the Columns one from the other to the whole difference of Longitude between the places the like for Latitude Example in the Reckoning following Suppose the Island of Ditiatha lies so that it hath been found to have 950 Leagues departure West from the Meridian of the Lizard according to the Courses that be ordinarily sailed by Plano the Latitude of it is 16 deg 16 min. North Latitude the Lizard lies in the Latitude of 50 deg 00 min. Now upon some Occasion that fell in the term of our Voyage namely the 29th of January on Tuesday the Captain demands of me what Distance Ditiatha was from me by Plano how it bears what Leagues of Departure I have to it and the like I look in my Reckoning and I find in the West Column 434 Leagues I look in the East Column and see 60 Leagues I subtract 60 my whole East Column from 434 the whole West Column and the Remainder is 374 Leagues which signifieth the Ship hath departed from the Meridian of the Lizard 374 Leagues West for the West Column was greatest Subtract this West departure 374 Leagues from 950 the whole Departure and I find there is still wanting 576 Leagues This 576 Leagues is the Departure that is from the Meridian that my Ship is in and Ditiatha Subtract also the Latitudes one from the other namely the Latitude your Ship is in and the Latitude of Ditiatha and the Remainder is the Difference of Latitude in degrees and minutes between the Ship and the Place you are bound to which in this Example I find to be 6 degrees 24 minutes Take the Latitude out of the Column of Latitude for that day in the Reckoning and you will find it so if you subtract 16 deg 16 min. from it Thus you have the Difference of Latitude between you that day and your Port and the Departure that the Port hath from the Meridian that you are in that day given you to find the things demanded I will not work it for it hath beeen shewed sufficiently already I have here following set down a Reckoning and afterwards how I work it and lastly the reason that makes me use this way of keeping my whole Reckoning in the last line so that I am not troubled to add it up when I give account of it January the 3d Anno Dom. 1655 we departed from the Lizard lying in the Latitude of 50 d. 00 m. being bound for Ditiatha which lies in the Latitude of 16 d. 16 m. it having West Departure from the Meridian of the Lizard 950 Leagues according to the courses which we then steered at 4 of the clock the Lizard bore from us N N E about 6 leagues distance by estimation EVery day at Sea you set down at noon that 24 hours work Now I advise you to set it down as it is here In the first Column on the left hand I set the day of the Month in the next the day of the Week in the third the Latitude I am in by dead Reckoning or by Observation only I make a distinction between them by the letter E which stands for Estimation and is set down only when I do not observe that so you may know where to begin to correct In the 4 th Column I set down the Easting in the fifth column the Westing The manner that I set my Easting and Westing down is thus Every day there is the Ships course minded and an observation whereby you have the difference of Latitude and course to find the departure or else if you cannot observe you have the distance run guessed at and the course to help your D. M. Week days Latitude Dep. E. in leag Dep. W. in leag deg min. 4 Friday 49 00 000 021 5 Saturday 47 55 000 059 6 Sunday 46 20 000 085 7 Munday 45 00 000 088 8 Tuesday 43 E 54 000 108 9 Wednesday 42 4 000 147 10 Thursday 41 E 19 000 262 11 Friday 41 10 000 264 12 Saturday 40 46 000 274 13 Sunday 40 45 000 178 14 Munday 39 E 49 000 179 15 Tuesday 37 E 24 000 200 16 Wednesday 35 59 000 229 17 Thursday 34 42 000 249 18 Friday 33 15 000 278 19 Saturday 31 15 000 322 20 Sunday 29 5 000 364 21 Munday 28 E 20 000 400 22 Tuesday 27 5 012 400 23 Wednesday 27 30 022 400 24 Thursday 27 22 031 400 25 Friday 26 E 49 049 400 26 Saturday 25 36 060 400 27 Sunday 24 31 060 406 28 Munday 23 28 060 406 29 Tuesday 22 E 40 060 434 30 Wednesday 22 08 060 434 31 Thursday 21 53 060 444 February 1 Friday 21 40 060 450 2 Saturday 20 47 060 456 3 Sunday 19 22 060 460 4 Munday 19 53 060 472 5 Tuesday 18 23 060 485 D. M. Week days Latitude Dep. E. in leag Dep. W. in leag deg min. 6 Wednesday 17 19 060 518 7 Thursday 16 47 060 556 8 Friday 16 54 060 606 9 Saturday 16 29 060 643 10 Sunday 16 19 060 678 11 Munday 16 21 060 726 12 Tuesday 16 28 060 784 13 Wednesday 16 35 060 840 14 Thursday 16 27 060 889 15 Friday 16 24 060 929 16 Saturday 16 2 060 973 17 Sunday 16 44 060 1003 guess is the Log-line every 2 hours your course and distance is set