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Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	divide_v	equal_a	line_n	1,364	5	9.1106	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A52587	The art of gunnery Wherein is described the true way to make all sorts of gunpowder, guu-match [sic], the art of shooting in great and small ordnance: excellent ways to take heights, depths, distances, accessible, or inaccessible, either single or divers distances at one operation: to draw the map or plot of any city, town, castle, or other fortified place. To make divers sorts of artificiall fire-works, both for war and recreation, also to cure all such wounds that are curable, which may chance to happen by gunpowder or fire-works. This treatise is composed for the help of all such gunners and others, that have charge of artillery, and are not well versed in arithmetick and geometry : all the rules and directions in this book, being framed both with and without the help of arithmetick. By Nathanael Nye mathematician, master gunner of the city of Worcester.	Nye, Nathaniel, b. 1624.	1647 (1647)	Wing N1481; ESTC R223771	65,085	215

third is to 13 so 100 is to 4 yards and 18 Inches To take the height of a Towre or Castle standing on a hill To performe this you must first take the height of the hill at two stations as of a thing unaccessible and after the same manner take the height of the Hill and Towre together which being done substract the height of the said Hill from the whole the remainder will be the height of the Towre CHAP. 59. How to finde the Longitude or Distance to any place by the Square I Desire to know the Distance to a Towre in the wall of a City because of placing my Ordnance to dismount a Gun upon the same I make choyce of a convenient place for my station where placing mine Instrument I bring the Index to the point C to lye just upon the line D C written in the figure The Line Fiduciall because from this line proceeds the beginning of the Degrees in the Circle and it is most used the Index being on this Line move the Instrument till you perceive through the Sights the Towre letting the Instrument rest firme turn the Index directly upon the other line marked with E G looke through the Sights and if you can espie any place or thing that you can remember to finde exactly take that for your second station if you cannot espy wherewithall to remember cause one to go towards such a place that you can see through the Sights with a handkirchief in his hand when you espy that bid him drop it upon the ground and goe to that place where set up your Instrument and laying the ruler upon The Fiduciall Line turn the Instrument untill you can espy through the Sights your first station then letting the Instrument stand firme turn the Index untill you can likewise espy the Towre through the Sights and marke diligently what part it cuts in the Square then As the parts cut are to 100 the Radix so the distance between the two stations is as the Distance required Example Suppose the parts cut were 5 the distance between the two stations 30 paces then as 5 is to 100 so is 30 to 600 paces the true distance to the Towre CHAP. 60. How to take the distance of divers places at one time by help of the Circle that is described within the Instrument FIrst of all finde some convenient place in which set up your Instrument for your first station and laying the Index upon the fiduciall line turne the Instrument with the Index upon the aforesaid line untill you see such a place as you thinke most convenient for in this you may choose your second station which by the practice in the last Chapter you could not doe The Instrument thus fixed espie through the holes every one of those places whose distance you would know and write them down I mean the degrees cut in the Circle with the name of the place alwayes remembring to begin so far on the left hand as you have any marke that way when you have noted them all down according as I have taught goe to the second station and place your Instrument there lay the Index upon the fiduciall line and looke back to the first station and espie it through the holes after this be sure your Instrument be not stirred then turn the Index to the first marke you tooke at the first station and after observation made note it down as at the first time when you have observed all the marks take your Instrument away goe to a large Table and with your Ruler draw a strait line acrosse the Table parallel to the Tables end and about two foot one from another describe two Circles the former made line being a diameter to each Circle First divide the distance between the centers of the two Circles into so many equall parts as there were paces betwen your two stations then divide the Circles In each center fix a needle and tie to each needle so many silke thrids as you had marks extend each of these at a great length just cutting the degree in the Circle that was cut in the Circle of the Instrument when you made your Instrumentall observation beginning first with the first marke so proceed and the end of every thrid which must be very long fasten to the Table with a little soft wax when you have fastened all the thrids thus that are on the first needle which signifieth the first station place those on the second needle as you did the other with wax at their full extent just over the Degree in the Circle made on the Table as you have noted was made upon your Instrument by observation beginning with the first as you did before and so likewise fasten them Now to know the distance to these marks looke where the first string of one Circle crosseth the first of the other that place note for the first marke looke where the second crosseth with the second that note for the second marke so likewise for the third fourth c. till you have noted all the marks down then with a paire of Compasses measure the distance unto any marke in paces or yards according as the Scale between the Circles is divided and what distance you finde to be either between one marke and another or between the stations and the marks is the true distance between those marks or between either of your stations and marks in paces yards or feet according to the division of your Scale but if the first second or third thrid c. in one Circle doe not tend to the same marks that you have noted in the observation as the first second and third doth in the other Circle then you are to make the marke where two thrids crosse that doe tend to the same marks An Example to cleere and manifest the last Proposition At such time as the Leaguer was before the City of Worcester I tooke the distance by such means as I have afore taught to every remarkable place therein by the aforesaid Instrument First finding a convenient place for the first station and placing the Index upon the Fiduciall line I marked where to make a second station the Instrument standing immoveable The first and farthest marke towards the left as I observed was Saint Peters Steeple the Index cutting 75 degrees the next observation was made at the Colledge Steeple the Index cut 84 degrees then Saint Hellens the parts cut in that observation 102 my fourth marke was the lofty Spire of Saint Andrews 104 degrees the fifth marke was the new built Block-house where formerly stood the Fryers gate the degrees cut were 106 the sixth observation was made towards the high Towre Steeple of All Saints the Index cut 107 degrees in the Circle the seventh object was the eighth square Towre Steeple of Saint Suthwins 117 the eighth which was worth observation was the brick Steeple of Saint Nicholas where the Index cut just 120 degrees the ninth observation which I

in a direct line with the Marke you must shoot at at that instant stop the motion of the Peece with a Coyne that it may remain as you have directed it Then prime the Peece and give fire Before you place on your Dispart you are to observe whether the ground be levell on which the wheeles of the Gun stand if they are not one higher then the other If the Trunnions are placed just over the Axtree of the Wheeles or not Whether one Trunnion lye higher on the Carriage then the other Whether the Gun be truly placed in the carriage or not I mean not swerving more to one side then the other Whether the said Carriage be truly made or not And lastly whether the Axtree be placed just a crosse the Carriage or not How the Carriage of a Peece should be made Measure the length of the Cylinder of the bore and once and an halfe that length should be the length of the Carriage Also measure the Diameter of the bore of the Peece the Planks ought to be foure of those Diameters in depth at the fore end in the middle three and an halfe and at the end next the ground two and an halfe also they ought to be in thicknesse one Diameter The wheeles should be one halfe the length of the Peece in height the Saker and Minnion wheels must exceed the former by one twelfth part the Faucon and Fauconet by one sixt part If you finde that the ground is not levell on which your Peece stands and that one wheele is higher then the other and the Trunnions out of due place the Peece not lying truly in the Carriage and that also not truly made you must get these things amended or else never looke for good service from such a Gun being so ill planted CHAP. 39. How if the first shot by reason of some fault spoken of in the last Chapter doe carry to the right or left or over or under the Mark to amend it in the making the next shot AFter you have made one shot and finde the Peece carry just over the Marke then doe all as hath been before taught again and when as your Peece lies directly against the Marke observe how much the last strock of the shot is above the Marke so much longer make your Dispart that the top of it may be just seen from the Britch of the peece in a direct line with the strock of the shot when it is of this length then levell your Peece with this new Dispart to the assigned Marke Give fire and without doubt it will strike the same If the first shot had struck under the Mark then bring the Peece in all points as before to passe marke how mueh of the Dispart is over the strock of the shot and cut it just so short as being at the britch you may discern the top of it the marke on the Base ring and the strock of the shot in a right line when you perceive it is of such a length levell the peece to the assigned marke as at the first then prime and give fire If the first shot had struck on the right hand of the Marke to mend it you must levell the Peece as formerly you standing behinde the britch of the Peece observe the strock of the shot over the Dispart that part of the Base ring as you at that instant looke over in a right line towards the Dispart and the strock of the shot set up in that place a pin with a little soft wax on the Base ring so this pin will be in a right line with the Dispart and strock of the shot this being done levell your Peece to the Marke assigned by this pin and the Dispart and without question you will make a faire shot For when you levell by the mettall of the base ring where the pin is placed and the marke the peece standing at that direction looke over the top of the Dispart from the notch in the Base ring and you shall finde the peece to lie just so much to the left as the former shot struck to the right from the assigned marke which should in all likelyhood now strike the marke But if the shot be both wide and too low then you must use both directions above taught to make the next shot First regulate the Dispart by cutting it shorter according as the shots marke is lower then the assigned Marke when this is done then proceed to my directions to mend shooting wide These things done with care and diligence cannot choose but mend a bad shot CHAP. 40. Of the Cunners Quadrant which is to be used in shooting at Randon and what portion the Degree of a Quadrant is YOU are to understand that every Circle great and small is divided into 60 Degrees the cause of this division is because the Sun maketh his motion in little more then 365 dayes through the Zodiack or twelve Coelestiall Signes which is a Yeare now 360 is the next even number that can be divided into quarters and halfe quarters fit for use and the Sun dividing his Circle thus does give example to all Mathematicians to divide all accordingly a quarter of which Circle we call a Quadrant containing 90 Degrees you must have a ruler fastened to one side of such a quarter of a Circle or Quadrant that must be put within the concave of the Peece with a piece of lead at the end to make the said rule lie close to the bottome of the mettall within the Quadrant hanging without by the plumb-plumb-line you shall find how many of those Degrees the Peece is elevated unto and the Quadrant being thus placed you may mount the Peece to what Degree you shall finde fit to shoot by I will not make any figure of a Quadrant or give other directions for the making of it because they which want one may buy it in divers places in London but will proceed to teach the use thereof in Gunnery Every one that will learn to shoot at Randon must draw his Peece into a levell ground where first shooting levell he must observe that distance in feet or paces then mount his Peece to one Degree and marke where that shall graze thus finde the distance of every Degree from the levell to the 10th Degree and by these distances make a Table to which annex the Degrees against the distances by which Table you may using the Art of proportion finde how far another Peece will convey her shot from Degree to Degree But in case you cannot have liberty nor pouder to doe all the aforesaid I will tell you what I have done my selfe out of a Saker eight foot long loded with three pound of pouder at the first shoot being one degree mounture it conveyed her shot 375 yards or 225 paces the next shot was at five Degrees Randon at which mounture shee conveyed 416 paces and the next tryall was at seven Degrees mounture the Randon produced 505 paces the last tryall was