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A16196 Baculum familliare, catholicon siue generale A booke of the making and vse of a staffe, newly inuented by the author, called the familiar staffe. As well for that it may be made vsually and familiarlie to walke with, as for that it performeth the geometrical mensurations of all altituded, longitudes, latitudes, distances and profundities: as many myles of, as the eye may well see and discerne: most speedily, exactly and familiarly without any maner of arithmeticall calculation, easily to be learned and practised, euen by the vnlettered. Newlie compiled, and at this time published for the speciall helpe of shooting in great ordinance, and other millitarie seruices, and may as well be imployed by the ingenious, for measuring of land, and to a number of other good purposes, both geometricall and astronomicall: by Iohn Blagraue ... Blagrave, John, d. 1611. 1590 (1590) STC 3118; ESTC S102659 45,938 75

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standing on the sea bancks you see your ship of war at the sea pursuing another ship of the enimy to know how far by help of this Familliar Staffe how much the one getteth of the other in sayling whether he be like to ouertake the enimy and in what time THis matter differeth litle from the working of the last Chapter onely it asketh more helpe For you had néed to haue at the first towre or station thrée standerd staues and foure obseruors and at the second tower or station two running staues and two obseruors all ready pitched and placed as in the two twenty Chapter was taught in such sort that one paire that is to say one standerd Staffe and one running Staffe doe wholy attend vpon your ship the other payr vppon the enemies shippe and the odde standard Staffe to attend them both by helpe of two obseruors to kéepe alwayes the angle of position betweene the two shippes and al of them to locke fast their angles at the instante of a blast giuen and then by the two and twenty Chapter to get the distaunce of ether shippe from you and by the one and twenty and helpe of the angle of position the distaunce of either ship from other at the time of the blaste Then after a quarter of an howre or certaine minutes compleate they must al to worke agayn by warning of a second blaste as well for the distances of eche shippe from you as of one of them from the other Then comparing the differences of ech kinde together you haue by the one that is to say by their seuerall distances from your station in that number of minutes as were betwéene the two blastes geuen the certainty of each of their gates in so much time by the last Chapter and by the two seuerall distances of ech shippe from other at both times you may by taking the bigger out of the lesser know how much the one shippe hath ether gotten or loste of the other and according to that rate of time cast how soone the one shall ouertake the other if the wind and state of the seas alter not or they alter not theyr course For which cause you shall make some more trialles in the very like manner as oft as you shall thinke good Chap. 25. Your selfe planted on the toppe of an high rocke clift or tower by the sea side To knowe by this Familliar Staffe howe deepe the leuell of the water is vnder you IT is most common vppon the sea coaste to haue highe rocky cliftes If therefore you woulde from the top of anye such knowe how déepe directly vnder you that the leuell of the water is you shall espy some marke in the bottome of the sea bancks or next clifte euen with the edge of the water the nearest vnto you that you can espy But if there be none neare inough then let some ship be lette purposely at ancor nere vnto you the distaunce of which ship you shal get by two pretty stationes such as the toppe of the rocke may yielde by the fiftéenth or seuenteenth Chapter Or if the rocke or clifte bee so stiepe and sharpe that it yield you not station inough on the toppe see then if you can discene to some lower part of the rocke for a second station or any way by any rule in this booke helpe your selfe to the distaunce of the shippe from your station on the hill toppe Which had take your standerd staffe and let him at a true square angle by helpe of your running Staffe there locke or wreste him faste that he start not from his square Then place him so that his one legge bee leuell or parallell to the horrizon the other perpendiculer sette by a plumme line his centre ouer your station Your standerd so placed then your partner and you directing the leuell legge towards the shippe or marke you shall between you moue the running sighte pinnes of both legges to and fro in such sort till by them you see the saide marke or shippe where she lieth at ancor there wreste the sight pinnes fast Then sette the centre of the running Staffe on the sight pin of the leuell legge directing his one side to the middle or centre of the other sight pin his other side euen with the centre of the standerd There locke the running Staffe fast at that angle and marke what number of the running Staffe is there cut off by the centre of the sighte pin For if that be equall to the distaunce of the shippe or marke before gotten then doth that sighte pinne shew your desire if otherwise then moue the running Staffe fast lockt at the said angle to and fro the centre of the standerde by helpe of the sighte pinne whercan hee rideth vntill there be cutte off in the saide side of the runninge Staffe the exacte distaunce of the said shippe or marke before found And then shal the pointe of cutting shewe you on the standerd the very height of your eie aboue the leuell of the water desired This Chapter seemeth more painefull at the first shewe then it wil be when it is rightly vnderstoode and that you haue made experience thereof by an example or two the best is it is needefull to bee doen but once for al in anye one place Chap. 26. If a Gunner keepe a block house or haue a piece or two of Ordinance planted on the toppe of some very high clifte by the sea side How by this Familliar Staffe he him selfe without any helpe at all shall most easily and speedily in a moment get the distaunce of any ship at the sea making towards him or passing along and that most exacte for so far as the randome of any great piece will extend TRuely this Chapter on such cliftes and places on the sea coste which are very high aboue the water as many such there are is the most necessarie and ready for a gunne of all the rest But if it be not high aboue the sea it is least worth And the higher so much it is the better for this purpose and also for the Gunner as it should seeme vnto me by Tartaglia who saith in his first booke second Colloquy that a peece either mounted or embased from the leuel of the Horizon shooteth with more force and further then it wil being shot leuell The chiefe substance of our practise in this consisteth in the exact finding of the leuell of the water vnder your station on the clifte toppe For which cause I promised the last Chapter Whereas others haue left it very absurdly to be done with a line and plummet of lead let down from the clift toppe as though euery clift or any clift almost would admit such palpable facillitie Well to the purpose In such a set place you shall haue alwaies your station ready prepared with the depth of the leuell of the water knowne by helpe of the last Chapter and there your standard setled at his square
speedely to get the height thereof thereby to make your scaling ladders according Chap. 10. To performe the last chap. Where you dare not come neere the base of the Tower for daunger of shot or let by reason of some deepe mote or ditch Chap. 11. How by this Familiar staffe to performe the last chap. another way more exact for long distances the more safely to keepe you out of daunger of shot of the Fort whiles you are in action Chap. 12. How you shall knowe by this Familiar staffe the depth vnder the iust leuell of your eye of the base of any Tower vnapprochable when the same base is to be seene Chap. 13. To know the length of the scaling ladder to reach ouer the ditch to the toppe of the wall or tower Chap. 14. How at any station eyther by the standerd or running staffe the angle of station or position betweene any two markes or places is to be taken two seuerall wayes Chap. 15. How in manner of the first and playnest meanes mentioned in the last chapter to take the angle of position to get the most exact distance of a castle or fort from you though the same fort be two or three myles off or more whereby you may know how to place your mayne battell as neere as may be yet without danger of shot from the Fort and also in what space you may march to the same when you will Chap. 16. Of the Geometricall ground and familiar proofe therof whereon the whole working by this familiar Staffe dependeth Chap. 17. How to performe the fifteenth chapter with more facility by meanes of the second manner of taking the angle of position mentioned in the 14. chap. Chap. 18. In case that a Castle or Fort were digged out of some rocke or scituate in some valley betweene two hilles admitting but some narrowe comming vnto it and therefore enforcing your stations to be one directly behinde another How yet by this Familiar Staffe you shall attaine the distance of the same from you Chap. 19. How you shall performe the 15. chap. Where the distance of the fort or castle is very farre off the ground being vneuen with hilles dales and rockes hath no one leuell plaine sufficient to make two stations for so great a distance Chap. 20. If in a night you haue secretly gotten with your army neere any Fort and that you would with more speede then in the 15. or 17. chap. is shewed knowe the distance whether you are neere ynough to plant your ordinance for battery Chap. 21. If you shall see two Fortes of the Enemies within viewe and would knowe how farre they are in sunder and whether there may be passage for an Army betweene them without daunger of shot from those Fortes or to get the length and breadth of any Fort a farre off thereby to gather of what receite the same Fort is or to get the width of a Riuer fronting any Fort keeping your selfe a farre off without daunger of shot Chap. 22. If in a Fort or Hauen on the sea coast or abroad on the playnes on the sea bankes you shall see any shippes a farre off sayling towardes you or any Army approching by land howe you shall alwayes be prouided in such speciall places that in a moment almost and with small helpe you shall know how farre they are from you and by that meanes speedily finde when they shall be commen within the randome or point blancke of the shot Chap. 23. If an Army on the land or an Nauy on the sea shall be as farre off as you may ken making towardes your Fort. To knowe by helpe of this Familiar Staffe how fast their gate is and in what time they shall according to that gate come within reach of your shot Chap. 24. If standing on the sea bankes you see your shippe of warre at the sea pursuing another shippe of the enemie to know by helpe of this Familiar Staffe how farre and how much the one getteth of the other in sayling whether he be likely to ouer take the enemy and in what time Chap. 25. Your selfe planted on the toppe of an high rocke clyft or Tower by the sea side To knowe by this Familiar Staffe howe deepe the leuell of the water is vnder you Chap. 26. If a Gunner keepe a Blockehouse or haue a piece or two of ordinance planted on the toppe of some very high clift by the sea side how by this Familiar Staffe he himselfe without any helpe at all shal most easily and speedely in a moment get the distance of any shippe at the sea making towardes him or passing a long and that most exact for so farre as the randome of any great piece will extende Chap. 27. If a man were prisoner with the enemy Howe being in the toppe of a Tower on the leades or out of his prison windowe he might by this Familiar Staffe knowe the deepth to the grounde to see if he were able with any deuise to let himselfe downe without daunger Chap. 28. If a Fort or Tower stand vpon an high hill How by this Familiar staffe to know the ioinct and seuerall heightes both of the hill and tower Chap. 29. If being at the sea you would cast ancor as neere some Fort or Harborrowe as you might be free from reach of their shot How by this Familiar Staffe you shall exactly get the distance thereof or the distance of any other shippe from your shippe beeing both fleeting at once on the wilde sea Chap. 30. How by this Familiar Staffe to carry the leuell of one place to any other necessary for such as shall vndermyne a Fort to knowe alwayes how deepe they are Or for such as would try whether waters may be brought from one place to fortifie another Chap. 31. How by helpe of this Familiar Staffe you shall cary a myne vnder the ground and set barrelles of gunpouder directly vnder any Tower or chiefe place of any Castle or Fort. Chap. 32. How a Captayne may by this Familiar Staffe set in Plat or Mappe any Prouince of the enemies Countrie Heere beginneth the Booke of the readie eadie and pleasant vse of this new Instrument called the FAMILIAR STAFFE CHAPTER I. What moued the Author at this time to publish so much of this Instrument and his vse as he now setteth forth IT was my good hap to be at the mansion place of my most honorable fauorer the right Ho. Sir Frances Knolles knight called Greyes Court in the Countie of Oxenford in Summer last where the right excellent and most noble Lorde Robert Deuorax Earle of Essex his grandson beeing expected that day it pleased his Honor to passe the time or rather as it might be iudged to stirre vp by his example the couragious minded knights and Gentlemen his sonnes naturally apt inough of themselues to patrizate imitate or rather to excéede in all such magnanimous exercises there to contend with the right worshipfull and valorous Gentleman Sir William Knolles
angle and alwaies ready pitched in maner of the last Chapter on some such rest that he may speedely be turned which way soeuer any shippe commeth keeping him selfe still plumbe and leuell the sight pinne of the perpendiculer side fixed fast with his scrue at the euen part answering the hight of your station aboue the water your standard staffe thus alwaies set in a readinesse your worke is done in manner ere you beginne For so soone as you espye any shippe making neare to your coste direct the extreame of the leuell legge of the standard to the shippe and clap on the centre of your running staffe to ride on the fired sight pinne of the hanging legge and there lifting vp or downe the one side of the running staffe close by the said leuell legge directed to the shippe vntill by the sight pegges of that side of the running staffe you see the shippe Then shall the euen part of that side of the running staffe cut by the leuell legge of the standerd be the distaunce of the shippe desired al which by this figure you may perceaue A the station on the clifte N VI the standerd Staffe alwaies ready placed thereon his leuel legge V N directed to the shippe G approching I the sight of the standerds hanging leg whereon the centre of the running Staffe is placed whose one side I N directed close by the standerds legge V N to the bottome of the shippe G is cutte off by V N at N. Thereby I conclude that the euen parts betweene I and N sheweth the distaunce from your eie to the ship viz. I G desired Note that the other side of the running Staffe is to no vse in this practise And one thing more I thought good to warne you off that in placing of your sight pin I you haue a care of the rising or falling of the leuell of the water by reason of the tides For which cause you had neede to haue some speciall markes purposely sette in the bottome of the next clifte or sea bancks by which you may at any time gather how much the water is risen or fallen and according to that rising or falling you must fixe the sighte put I higher or lower when you begin your worke Note that this Chapter and the last also mighte as well haue bene performed in manner of the twelfth Chapter by turning the extreame of the hanging side of the staffe downewards if the place doe admitte and happily that course maye séeme the more familiar and propper way for profundities although both come to one passe Chap. 27. If a man were prisoner with the enemie how being in the top of a tower on the leads or out of his prison window hee might by this Familliar Staffe know the depth to the ground to see if he were able with anie deuice to let himselfe downe without danger FOr this purpose yea or almost anie precept of altitudes an instrument of ten inches long is as good as one of ten foot and such a one a man might priuily haue conueyed vnto him and easily wilde it in a chamber You shall out at a windowe by the eightéenth Chapter or from the toppe of the leads by the fiftéenth or seuentéeth chapter get the direct distance from you of some tower next yours which suppose were XC whose base C you may sée out at your windowe viz. IX then place your instrument plum and leuell towardes that tower XC in such sort as was done in the last Chapter But contrariwise to the last Chapter place that distance IX gotten on the leuell side at O fixed Then putting vp or downe the sight pin of the hanging side viz. I till by it and the sight pin O you may sée the base of that tower viz. C by the vsuall line IOC. There I saie shall the sight pin I shew you the deapth of the tower XC viz. from x the leuell of your eis vnto C the base and so high from the ground you may presume that your selse are in that roome where you are prisoner Let your selfe downe and you can sauing your necke peece Happily this Chapter were more easily performed by turning the hanging side of the Staffe downwards according to the note in the end of the last Chapter because the instrument is small and may easily rest in the one end Chap. 28. If afort or tower stand vpon an high hil how by this Familiar staffe to know the ioynt and heights both of the hill and tower TO helpe vs for want of a figure you shall admit that Y were the top of the hill and base of the tower and PY the the tower standing thereon Which granted The first thing you shall doe get the distante from your standing viz. N vnto the point S leuell with your eie directly vnder the base of the tower by the eightéenth Chapter But if the hil and tower be farre off then if by the fiftéenth or seuentéenth Chapter you get the distance IY and by discretion take somwhat lesse then that for the distance IS a little error in that longitude wil not hurt vs for the altitude This distance IS anie waie gotten you shall reckon the same on the leuell side of your running Staffe ED directed to the hill and there set the one wing viz. I and from it direct your vsuall line to the towers base viz. to Y and set the other wing on the hanging side directly betwéen I and Y at V. I saie the number at V shewed by that wing is the height of the hill desired viz. of YS and if from I you direct your vsuall line againe to the top of the tower on the hill viz. to P. Then shal the wing on the hanging side cut at H where agayne you shal haue the whole height both of tower and hill viz. of PS and the distance betwéene H and V sheweth the height of the tower PY seuerall Chap. 29. If being at the sea you would cast ancor as neere some fort or harbour as you might be free from reach of their shot how by this Familiar Staffe you shall exactlie get the distance thereof of the distance of anie other ship from your ship being both fleeting at once vppon the wilde sea THis is the most curious matter which we had to deale withall and as sleightly dealt in by other writers whose whole deuice hetherto hath béene to looke from the top of the ship wherein they are vnto the bottome of the other ship performing it after the same reason that in my 26. Chapter is shewed For they appoint the knowen length of the mast of their ship in stead of the knowen height of the clift in that 26 Chapter And to make the matter seeme of more account they call this a distance gotten at one station A goodly thing as who saith that the square angle which they imagine at the bottome of the maste and the length of the mast knowen is not in all respects a second