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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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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
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 Altitudes 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 BLAGRAVE of Reading Gentleman the same wellwiller to the Mathematickes The vse of which Familiar staffe is also so generall that it readily performeth all the seuerall vses of the Crosse staffe the Quadrate the Circle the Quadrante the Gunners Quadrante the Trigon euery one in his owne kinde and with no lesse methode and facillitie both for Sea and Land LONDON Printed by Hugh Iackson dwelling in Fleetestreete a litle beneath the Conduit at the signe of S. Iohn the Euangelist 1590. To the Right Honourable Sir Fraunces Knolles Knight Treasurer of her Maiesties Household and of her Highnesse most Honourable priuie Counsell WHen that I had right Honourable with an earnest intent to proceede very farre in the Mathematikes published my late booke of the Mathematicall Iewell dedicated euen of meere duety vnto the right Honourable Lord Burleigh Lord high treasurer of England whom from the aboundance of my hart I can not but with your Honours good fauour as a Myrror of Iustice and pietie a Patterne of true Honour and Nobilitie not onely at this time againe but during life in all my good actions to remember Yet not long after espying my yeares to run on the world to slip away by me whiles I was occupied in these studies that brought nothing but delight and withall remembring thé example of the silly Grashopper and the saying non semper erit estas I began in maner to droupe and languish as one out of hope and euen vpon point either to giue them ouer or to attend them at more leasure which of all thinges those studies may not like because they rather more earnestly require a mans whole indeuour Sticking fast in this mammering of dispaire your Honour beyond all exspectation or cogitation of mine drawes me forth of the poore countrie Cabin where obscurely I lurked into your more open presence and there so adorned and beautified me with your Honourable curtesies and fauour so renoumed my name at the Court amongst persons of high regard and not content therewith without any least desart of mine of purpose as I take it to encourage me to proceed thereby not a litle bewraying your Honours hidden skill and secret good will to the Mathematicke sciences most liberally bestowed on me a yearely pension or stipend that verifying the old Adage Honos alit artes I was enforced againe to my former Byas and so much the more strongly to the end that your Honour conceaued opinion of me and fauourable auouchments in my behalfe should not be vtterly made void earnestly bending vpon those pointes which may most helpe or forward Nauigators for their long voyages and new discoueries being now almost prepared and in point to furnish them with such familiar instruments and precepts carrying no lesse facilitie then this treatise doth that them selues shall bee able to strengthen their owne nauigations in whatsoeuer arte may assist them But lest in the meane time whiles I am thus busied euen to the vttermost of that leasure which this diuers world alloweth me I should be thought to sleepe of your Honour of whom I haue beene so many waies fauourably incyted I could not but exact so much intermission from those waightie actions as to seeke about in my Mathematicke storehouse for some ready present wherewith I might the whiles shew my selfe broad waking vnto your H. And all sodeinly as I was tossing and seeking me thought I hard the fresh sound in mine eares of the peece of Ordinance I saw your H. shoote off at Greyes this last sommer Thereupon I sought no further but seeing your H. both by your honourable office and course of yeares to carry a staffe with that conceite bent my head wholy to metamorphose that instrument which by chaunce I then shewed vnto your H. others there vnto a Mathematicall staffe fit for so noble a mind as your H. hath euen frō your first knighthood wonne in the field hetherto carried and dayly expresseth by diuers such noble and martiall exercises And the same staffe cleane void of all loftie florishes singuler easie to be conceiued euen for the vnlettered to learne and worke by without any manner of arithmeticall calculation although I know your H. most aboundantly farre to exceede any ordinary Arithmetician and not deuoid of some partes Geometricall Which staffe as effectually framed as my selfe and my man whom purposly to forward these actions I haue euer since your Honours saide liberalitie bestowed retained cold without any first patterne contriue I most humbly present to your H. together with this treatise of the vse thereof beseeching God to prosper your H. in all your honourable actions Your Honours most humble at command Iohn Blagraue A Table of the Chapters and Contentes of this present booke following Chap. 1. WHat mooued the Author at this time to publish so much of this instrument his vse as he now setteth foorth Chap. 2. Of the imperfections of the crosse staffe called by Gemma Frisius Baculus Geometricus and by howe much this Familliar Staffe exceedeth it and all other instrumentes hetherto deuised to like purposes both for sufficiency and facillity Chap. 3. Of the framing and fashioning of this notable instrument called the Familiar Staffe Chap. 4. How you shall in a singular sort set degrees on the leuel of the running staffe and also on his Graduator together with the pointes of the Gunners quadrant Chap. 5. How by this Familiar Staffe to leuell or try whether a peece of ground be leuell whereon to plant your peece of ordinance Chap. 6. How by this Familliar Staffe to mount a piece of ordinance by points of the Gunners quadrant Chap. 7. By what meanes a certaine Table is to be made therby to know how farre any piece wil shoot at random being mounted to any point of the gunners quadrant Chap. 8. Hauing made a Table of Randomes to some one piece according to the precept in the last chapter How by this Familiar Staffe to make the same table serue for any other piece without any Arythmeticall calculation Angular easie Chap. 9. If a Wall or Tower were to be scaled and that you may come vnto the base of it without daunger How by this Familiar staffe
knight his sonne heire in shooting with a small péece of ordinance at a marke which péece was there ready on her carriage appointed at that time together with another great péece not long before the Spanish kings called a Saker which the sayde sir William to his high deserued commendations then lately had brought home from the winning of y e Groyne in Spaine many other smal shot there also set readie on the leads of the house with trains of gun pouder to be shot off to welcome the said noble Earle sending forth amidde the regions of the aire the excéeding ioy that was there taken of the safe and happie arriuall of his noblenesse from the then late desperate voiage performed into Portingale At this time after his H. and his sayd sonne and heyre had each of them shot I being at hand was demanded a question or two of getting the distance of the marke wherto they shot And the sayde Sir William Knolles was also verie desirous and inquisitiue of me in what time himselfe might learne skill sufficient for that purpose Of which so iust and wished occasion I was right glad and the rather when I considered with my selfe how these dangerous times threaten to set our great ordinance mightily on worke and how needfull appertinent it is to the shooting in them certaynly and speedily to get the distance of the marke they shoote at as well for annoying of the enemie as sparing of shootes spent in wast So that I was in manner assured that no Treatise was like to be more acceptable vnto his H. next vnto bookes of sincere religion then such as should tend towards the defence and safe keeping of this his natiue Countrie Wherein it is wel knowen euen to any that least know him how forward his H. hath alwais bin and continueth euerie waie whatsoeuer That olde age and graie hayres cannot yet daunt or holde him backe from the face of that enemie that should inuade the same or offer violence or hurt to the person of our most gracious soueraign Ladie and Queene Elizabeth whome God graunt long to raigne ouer vs to his glorie Considering also what no small want of some one perfect meane Generall for all these actions yet remained after so great a number of both Latine English authors writing of so sundrie waies to attaine Altitudes Longitudes Latitudes Distances and Profundities some by the Quadrate some by the Trigō some by the Crosse Staffe some by the Cyrste some by the Quadrante some by the bare bare rule or Squyre some by plaine stickes and stations some one waie some another And amongst them all no one instrument sufficiently apt for all purposes neither yet to doe any of these feates in all pointes or almost in anie point of himselfe without the continuall readie vse of the fiue partes of Arithmetike Which in the vnlearned Gunner is not alwayes to be had nor hauing it easie for him to performe especiallie in such busie times when the buzzing of dangerous businesse amongst the multitude shall bring the best learned and skilfull man out of his numbers besides the number of preceptes so toile some the manifolde absurdities admitted so loathsome Upon al these iust occasions I was in maner forcibly drawen at this time to bend the fabrication and vse of this so noble instrument wholie vpon these causes which I had for three or foure yeeres before determined to haue published in a more ample sorte almost as generall for a number of matters of Geometrie as my Iewel is for matters of Attronomie Cosmographie and Nauigation which I yet meane to doe but that I dare make no more promises in print vntill I haue finished the second part of my Iewell so often since required at at my hand being fiue yeres past which yet this busie world suffereth me not to bring forth although I contend to loose no manner of time Chap 2. Of the imperfectiōs of the Crosse staffe called by Gemma Frisius Baculus Geometricus and how much this Familiar staffe exceedeth it and all other Instrumentes hitherto deuised to like purposes both for sufficiency and facillity FOr that I haue bene acquainted with diuerse willing wits desirous of knowledge wanting the rudiments of Geometry whereby they might be enabled to make choise of such instruments as might be subiect to fewest errors and absurdities to haue bene marueilously in loue with the crosse staffe and that altogether because it yeldeth his vse with that facillity though but in matters at hand For which cause I thought good euen of zeale and good will to all such willinge young practisers to waste this Cap. for their good to assure them how weake and to small purpose the crosse staffe is in respect to be imployed in any weighty seruice scarce doing any thing well and that not much aboue a bowe shute of whereas this my familliar staffe shall performe them no lesse exacte at a mile 2. or 3. distante if the marke bee suche that the eie may cary it strongly There haue bene from time to time besids the crosse staffe diuerse other instruments deuised for these kindes of seruisable mesurations as in the Cap. before I mentioned of which the Geometricall quadrate was thought to be the best as it seemeth to me by G. Frisius who often vpbraydeth the same quadrate with his staffe when he had in as much as mighte be doen reduced the crosse staffe to all yerfection letting it then to lacke no commendations saying euen at the first entraunce to the vse of it lib. de radio astro Geomet cap. 5. Dimensionibus longitudinum altit latit distantiarum antecellit radius reliqua instrumenta ad similem vsum excogitata facillitatem habens longe maiorem copiam But by G. Frisius good sauour I see no causa why it should carry any of those commendations more then for the facillity in vse and for this wil aske no better iudge then him selfe For in taking of an altitude which is simply the best thing it can doe if the staffe be not directed leuell with the horrizon then cannot the crosse bee parallell to the vpright and therefore breedeth error as him selfe confesseth in the same 5. Cap. saying Vnum a paucis notatum intollerabiles inducit errores Si quidem Radius in dimensionibus per directam lineam quasi ad normam tendere debet versus lineam quam metiri statuimus siue ea sit longitudinis fiue latitudinis what can a man aske more then direct consession yet after he sayeth againe by way of auoidance in the same Cap. Neque vereri de bes paruum a norma deflexum qui nullum inducere potest errorem sensu perceptibilem But by his fauour againe though a litle holding from the leuell can breede no great error in the altitude or latitude Yet that very smal error there cōmitted shall growe to somewhat in the longitude or distaunce being he teacheth no other way in manner to