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rest_n bring_v hand_n left_a 2,328 5 10.3868 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A26162 The faithfull surveyour discovering divers errours in land measuring, and showing how to measure all manner of ground, and to plot it, and to prove the shutting by the chain onely ... / by George Atwell. Atwell, George. 1658 (1658) Wing A4163; ESTC R24190 96,139 143

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length of that trapezium also add your two breadths 60 and 7 together make 67 for every middle breadth of each station-line must be twice added save where you have two severall breadths fall in one place as in the line CD where you have the length 200. twice together the half of 67 is 33½ by which multiply 472 facit 15742 to be set against the latter breadth 7. Then go to the second line BC where the first length is 100 the common breadth 3½ gives 350 and so go on according as the example gives then if you add all those primes or square links into one summe you shall finde it to be 40346 that keep till you have cast up the triangles within the station lines and likewise all the other slabs Therefore I draw a diagonall from A to C which will be the base to both triangles and half the length is 504. the perpendicular falling from B is 514 that from D is 494 the summe of both is 1008. then these multiplied the summe of both perpendiculars by half the base or the whole base by half of them it gives 508032 which added to the summe of the borders 40346 it makes that first close to give 548378 square links in all Now to bring these links into acres you need but onely cut off the five right hand figures the rest to the left hand are acres viz. five acres the reason is there are 25 links in the length of a pole that squared gives 625 square links in a pole and that multiplied by 160 the poles in an acre gives 100000 links by which divide your summe of your links or for the five cyphers cut off five places the rest are acres and the five so cut off are the numerator of a fraction of an acre whose denominator is ●00000 So 548378 gives five acres Now to bring these five figures into poles you may either divide them by 625 the primes in a pole or else multiply those two of the five next the left-hand always by six and set them a place nearer the right-hand and then add those two which you multiplied and the two which are under them together and increasing them so many unites as are sixes in the next two and you shall have 7 pole and 253 links If now that when you have cast up a close you have more then half 625 primes remaining ordinarily it is accounted for a pole if lesse then for nothing But if you have more closes adjoyning you may reckon it with the next close Suppose your ground hath the out-side of this form whose station-line is AD you may set it down in words thus in your note-book At A it is 10 to the brook from the station-line 0 at B where I have gone 20 pole in the station-line there is a square line to a crook stroke with the edge of the table in which at 15 on the left hand is 20 at 28 is 25 on the left hand and 15 on the right hand at 44 is 28 on the right hand at 56 is 33 on the right hand at 70 is 0. on the left and 30 on the right hand then at 30 in the station-line is 10 at which 30 also I strike a station-line forward which when I have stroke it I finde the fore-most acute angle by my scale of chords to be 70 degrees that also I enter in my book by help whereof and a diagonall line from angle to angle I can draw the plot of any ground though many years after without going to it again And after the same manner you may plot and set down single lands in the common-field or a close that is narrow and long CHAP. VI. Of measuring a Wood. THe difference of measuring a wood and pasture is in these two things First in pasture you measure on the in-side but woods on the out-side Secondly in pasture all your trapezia are to be added to that within the station-lines unlesse your station-line be in the close adjoyning but in this to be subtracted CHAP. VII Of dividing or laying out of ground OF this there are three degrees each more difficult then other The first is when the length of a ground is given and a given quantity desired as if you would lay out two acres of grass in a pasture which is 36 pole long and you desire the breath First I turn my two acres into square links it is 200000 which I divide by 900. for 25 times 36 is 900 it gives 224¼ the which if you divide by 25 the links in a pole it gives 8 pole 22¼ links in breadth and this needs no plotting Or if you would do by the foot-chain say two acres is 320 pole that divided by your length 36 gives 8 pole and ●2 36 which abbreviated is 8 9 and to know how many half-feet that is because there are 33 half-feet in a pole therefore I multiply 33 by 8 facit 264 that divide by 9 gives 29 half feet and 3 9 or ⅓ that is 8 pole 14 feet 8 inches Secondly In pasture-ground suppose a pasture with crooked hedges is equally to be divided between two men First I plot it and find it 52 acres 2 roods 10 pole that is 26 acres 1 rood 5 pole a peice I ghuess as near as I can to strike a line over the middle of my plo● but measuring one end upon the plot I finde it wants 264 pole of his due therefore I measure the length of the dividing line which I finde to be 56 poles Now to work by the decimal chain I multiply 264 my poles wanting by 625 the square links in a pole they make 165000 likewise I multiply 56 pole the length by 25 the links in a poles length they make 1400 by which divide 165000 it quotes 117 6 7 that is 4 poles 17 6 7 links But by the foot-chain if you divide 264 by 56 it quotes 4 poles and 40 56 which to bring into half-feet multiply the numerator 40 by 33 the ½ feet in a pole facit 1320 which divide by 56 it gives 28 half-feet and 16 56 of a half-foot in toto 4 pole 14 feet 2 inches almost And so much must you remove your dividing line at both ends and this may be done as well on the out-side as on the in-side Thirdly To divide a standing wood of 200 or 300 acres and to drive a streight line from a mark on one side thereof to any mark on the other though the wood be twenty years growth and a hill in the midst A rare secret Be sure to plot and measure enough or more then you desire to take out of it and where you intend your dividing-line shall come there in your station-line on the first side set a mark keeping also good marks at every station so going on till you be sure you are far enough on the other side also Then draw your dividing-line by ghuess keeping one end thereof still upon the mark in your station-line then