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end_n draw_v line_n require_v 1,461 5 9.1279 5 false
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A80180 The lighting colomne or sea-mirrour containing the sea-coasts of the northern, eastern and western navigation: setting forth in divers necessarie sea-cards all the ports, rivers, bayes, roads, depths and sands ... With the discoveries of the chief countries, and on what cours and distance they lay one from another ... As also the situation of the northernly countries, as islands, the strate Davids, the isle of Ian-Mayen, Bear-Island, Old-Greenland, Spitsbergen and Nova Zembla ... Gathered out of the experience and practice of divers pilots and lovers of the famous art of navigation. By Jan van Loon. Whereunto is added a brief instruction of the art of navigation, together vvith nevv tables of the suns declination, also an almanack extending untill the yeare 1661. Colom, Jacob Aertsz, 1599-1673. 1654 (1654) Wing C5401A; ESTC R230954 549,120 428

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of the aforesaid parts as the table ensuing sheweth you As for example for the first degree prick 176 parts for the second 355 parts for the third 538 parts for the fourth 724 parts and so forth Remembring that you must prick all the lengths of pricks or parts aforesaid from the aforesaid crosse stroke which is marked upon the halfe length of the Crosse into 11000 parts then devide the whole Crosse so and then take for every degree halfe so many as the Table sheweth unto you And if you cannot doe so devide halfe the Crosse into a 1000 parts and then leave the hindermost letter of the table out as where you should for the first degree take an 176 parts take but 17 parts leaving the last figure out but if your crosses be so smal that you can devide the halfe of them into no smaller then an hundred parts then leave out the two last figures in the table But you must understand that the more parts that you devide the crosses into your markes will fall out so much the better perfec●er de parts de parts de parts de parts de parts 1 176 19 4019 37 10057 55 21716 73 756612 2 355 20 4281 38 10503 56 22708 74 61154 3 538 21 4550 39 10965 57 23759 75 65958 4 72● 22 4826 40 11445 58 24874 76 71445 5 913 23 5108 41 11943 59 26059 77 77769 6 1106 24 5399 42 12460 60 27321 78 85144 7 1303 25 5697 43 12998 61 28667 79 93854 8 1504 26 6003 44 13558 62 30108 80 104301 9 1708 27 6318 45 14142 63 31663 81 117062 10 1918 28 6643 46 14751 64 33315 82 133007 11 2131 29 6976 47 15386 65 35107 83 153469 12 2349 30 7320 48 16051 66 37046 84 180811 13 2572 31 7675 49 16746 67 39152 85 219038 14 2799 32 8040 50 17475 68 41445 86 276362 15 3032 33 8418 51 18239 69 43955 87 371885 16 3270 34 8807 52 19042 70 46713 88 561810 17 3514 35 9210 53 19887 71 49758 89 1139891 18 3764 36 9626 54 20777 72 53137 90 infinit The 24 Point Of the cutting of the Crosse-staffe and how a man may helpe and prevent all the defects of the staffe Set the great Crosse with the middlemost upon like degrees to wit each upon such as for that purpose are marked upon the staffe then apply the staffe the Crosses so firmely remaining unto your eye in such manner whether it bee on the innermost or outermost corner it is all one as that you discerne the ends of the Crosses both above and beneath just over each other in forme as this figure specifieth If then you draw strait lines by the ends of of the Crosses A B and D C they shall meet just in the middle point of your sight And in asmuch as the Crosses are placed upon like degrees the lines aforesaid shall meet just upon the end of the staffe seeing that the end of the staffe representeth the center of the quadrant whereby your staffe is marked So then the aforesaid lines or ends of the Crosses answer both just upon the end of the staffe also upon the sight so that it followeth necessarily and appeareth evidently that the end of the staffe and the sight meet in one or to speake properly both of them stand just in the center of the quadrant Therefore whensoever with the Crosse staffe you will take the height of the Sun or of any Star then observe diligently how many degrees it is elevated above the Horizon and place the two Crosses upon so many degrees then apply the staffe to your eye in such manner as that you may see the ends of the Crosses just over each other according as is taught before in such forme then as you finde the staffe to stand to your eye shall you place the staffe taking away one of the Crosses when you desire to measure according to such height this is a sure rule which will never fayle neither can you possibly misse if you follow it N o 1 The 25 Point How to finde the height of the Sun by the shadow N o 2 That being done the preparation is made to marke the peece take first the just widenesse with a paire of Compasses that is betweene EG the foremost edge of the long crosse and A B the outermost edge of the eare in the little crosse as in the figure No. 2. and put that on the peece of the point D on the left roundell inward toward C on that point draw a thwart line from thence you shall begin to marke that the widenesse betweene the middle line of the staffe and the under edge of the eare which is in the uppermost crosse as in the foresaid figure No. 2. from F tot A prick that on the quadrant from A toward F in H and from C to G in I and draw the line H I. Then observe how all the lines comming from A the center of the quadrant cutting through this line even so must the peece bee marked beginning at the point C with 90 80 70 c. But if so doing you cannot get so many degrees on the staffe as you desire to have for your use then set the little crosse a third or fourth part lower toward the great crosse at your pleasere so that the under edge of the eare AB in the figure No. 2. may come to stand at MN then in the place of the length F A take F M and thrust it in the quadrant of A toward F into K and from C unto L and draw the line K L that then will bee marked as it ought by cutting the lines comming from the center through the devision of the quadrant but you must take a certaine marke in the long crosse for to set the little crosse in such manner as you would use both marking But if you would make more markes on the same peece you must slide that little crosse more netherward and then doe as was said before but you may not forget to make certaine markes in the long crosse for to set the little crosse wel according to the marking which you desire to use To marke this crosse staffe from tables more perfectly draw on an even board pasted with paper a right or straight line as long or longer then the staffe that you desire to marke You shall with the compasse take the widenesse of the staffe between the middle line and the nethermost edge of the eare at the little crosse as it is in the figure No. 2. F A or F M or also F O what marking soever you desire to follow set that widenesse taken as often alongst that foresaid line as you can and each of these lengths you shall divide in 10000 parts this table in this place shewes how many of these parts you shall appoint for a degree or a fourth part of a degree beginning as is the figure a foresayd No. 2. from the point C. The first Columne
reckoned upon the Meridian or length of the earth from the westend of England Those which are more easterly from thence have the lesser declination when the Sun departeth from the Line and increaseth in declination either towards the North or South as wel betweene the 20 of March and the 22 of Iune as betweene the 23 of September and the 22 of December and the greater declination when the Sun returneth againe towards the Line whether it bee by north or by south the Line as wel betweene the 22 of December and the 20 of March as betweene the 22 of Iune and the 23 of December On the contrary those which are more westerly from thence have the waxing declination that is when the Sun runneth from the Line either by North or by South the Line the greater declination and the falling declination that is when the Sunne runneth againe towards the Line either by North or by South the Line maketh the lesse That commeth to passe by reason of time thus Those which are more easterly have the Sunne sooner in the south or in their Meridian and therefore is the waxing declination lesse and the falling greater on the contrary those which are more westerly have the Sonne later in the South and therefore have they the increasing declination more the decreasing lesse The first Example Concerning those which are more easterly with rising declination upon the 25 of March in the second yeare following the Leap-yeare I desire to know ●he Sonnes declination at noone at Bantam in the East-Indies First I seeke upon a Globe or any other Table how much more Easterly Bantam lyeth then the Lands end of England and I find it to bee about 120 degrees herein wee reckon not so neare upon a degree or two because such a difference is but little in this respect whilst then the Sonne must have 24 houres to run about the heaven or the whole earth which is 360 degrees I seeke how much time hee must have to run 120 degrees and I say thus 360 degrees ma●● 24 houres what maketh then 120 facit 8 houres 〈◊〉 thence I find that the Sunne commeth 8 houres sooner to the South at Bantam then at the Lands end of England that is That the Sunne is fall South at Bantam when it is but 4 a clock after midnight at Englands Lands end Then I looke in these Tables upon the abovewritten 25 of March for the declination of the Sun and I find it to bee 1 degree 57 minutes and out of the declination on the day following 2 degrees 21 minutes that the declination of the Sun at that time in 24 houres increaseth 24 minutes therefore say I if the declination increase 24 minutes in 24 houres how much in 8 houres facit 8 minutes from thence it is cleare that seeing the Sun runneth from the Meridian over Bantam to the Meridian of Englands end and the declination riseth or increaseth 8 minutes that it at Bantam is 8 minutes lesse as these Tables declare The Suns declination is that day at Bantam no more then 1 degree and 49 minutes by north the Line The Second Example With falling Declination Upon the 16 of the same yeare I desire to know the Suns declination at noone at Bantam and I find in these Tables upon that day for the length of England Lands end 2 degrees 40 minutes that it decreaseth every day at that time of the yeare 24 minutes Seeing then the Sun as is sayd in the first example cometh 8 houres sooner to the South at Bantam then at Englands end I say doth the declination decrease 24 minutes in 24 houres how much maketh it in 8 houres it maketh 8 minutes from thence it is knowne that seeing the Sonne runneth from the Meridian of Bantam to that of Englands End and the declination falleth 8 minutes and therefore at Bantam is it 8 minutes more even as these Tables declare The declination of the Sonne on that day is at Bantam 2 degrees and 48 minutes Observation From hence it followeth That one and the same Steer-man sayling eastwards to the Indies comming upon two such divers times before the Straite of Sunda and would take the height of the Pole according to the Sun of one and the same corner of Land and should use these Tables without such caution hee should though hee thought it wel done thereby taking one time 8 minutes soo much and the other time 8 minutes too little declination hee should find it to differ 16 minutes in his height therefore in long voyages you must thinke wel upon this The third Example Concerning those which are more Westerly with rising declination A certaine Ship comming upon the 9 of October in the third yeare after Leape-yeare upon the greate South Sea neare the Coast of Peru the Steerman desireth to know the Suns declination there at noone hee findeth out of a Globe or any other Table that that Coast lyeth full 80 degrees more Westerly then Englands Lands End The Sun must then run from the South over Englands end to the South of the foresaid Coast of Peru full 80 degrees to which hee requireth about 5 houres and an halfe so that when the Sun standeth there in the South it is then from Englands end halfe an houre past 5 in the afternone Hee findeth in these Tables the declination of that day 6 degrees 13 minutes by South the Line and out of that of the following day which is 6 degrees 36 minutes that at that time in 24 houres the declination riseth 23 min. therefore shall hee say the declination riseth in 24 houres 33 minutes how much then in 5 houres and a ½ facit full 5 minutes and from thence wee find that seeing the Sun running from the Meridian of Englands end to hert of the Coast of Peru riseth full 5 minutes and thereupon the declination on that day is there 5 minutes more even as the tables demonstrate The declination then on that day on the Coast of Peru is 6 degrees 18 minutes The fourth Example Concerning the falling declination Suppose that such commeth to passe on the foresaid Coast of Peru on the 8 of September the same yeare these tables point at the declination of that day 5 degrees 46 minutes and the day following 5 degrees 23 minutes so as upon that time of the yeare in 24 houres time the declination lesseneth 23 minutes The Steerman shal then reckon thus if in 24 houres the declination lesseneth 23 minutes how much is that in 5 houres and a halfe facit full 5 minutes and shall from thence find that his declination is there 5 minutes lesse as these Tables instruct the Sonnes declination then upon that day is upon the Coast of Peru 5 degrees 42 minutes from hence may bee understood what it is which before is said in the example of the more easterly that a Steereman whe would looke after the Sun on the Coast of Peru upon such two divers times in the same place and