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A08588 The nevv artificial gauging line or rod together with rules concerning the use thereof: invented and written by William Oughtred. who in all due and respective observance præsenteth the same to the Right Honourable LL. Sir Nicolas Rainton Lord Major of London for this præsent yeare, and Ralfe Freeman Alderman Lord Major elect for the yeare now ensuing. and to the Worshipfull George Ethrege the late Master, and Captaine Iohn Miller the præsent Master of the Company of Vinteners. And to the whole body of that right worshipfull societie. Oughtred, William, 1575-1660. 1633 (1633) STC 18901; ESTC S113513 13,620 46

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THE NEVV ARTIFICIAL GAVGING LINE OR ROD Together with rules concerning the use thereof Invented and written by WILLIAM OVGHTRED who In all due and respective observance praesenteth the same To the Right Honourable LL. Sir NICOLAS RAINTON Lord Major of London for this praesent yeare and RALFE FREEMAN Alderman Lord Major elect for the yeare now ensuing and To the Worshipfull GEORGE ETHRAGE the late Master and Captaine IOHN MILLER the praesent Master of the Company of Vinteners And to the whole body of that Right Worshipfull societie London Printed by Aug. Mathewes 1633. Right Honourable and Right Worshipfull I Doubt not but as every worthy and laudable worke is subject to obliquie and ill construction So this my good intent and usefull invention which I here present unto you Right Honourable Lords and you Right Worshipfull into whose clientlie I betake both my selfe and it shall meet with some over-curious and supercilious censurers who will misse-judge and misse-say the same though not for the art against which I perswade my selfe they shall find little cause to except yet in respect of my particular calling of the height and dignity whereof such small and low cogitations may seeme to be unworthy But may it please them to consider that Theologie is 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 the chiefe and principall Lady and Mistresse of all other faculties unto which all callings in this life for their just faithfull and conscionable execution are to comply and bee accountable And seeing God in his sacred word biddeth not onely cease to doe evill but also learne Esa ● 16. to doe well and seeke judgement that Divine may bee thought best to performe his dutie that shall not onely reprove injustice and wrong dealing but shall also even in particular actions informe the conscience both what is right and how to performe it This I have herein endeavoured to effect The holy Scripture is frequent in shewing the abomination of false and deceitful weights and in forbidding to M●c 6. 11. ●ev 19 35. Prov. 16. 11. doe unjustly in line in weight or in measure and telleth us that a true weight and a just balance are of the Lord and that all the weights in the bagge are his worke If I therefore by the helpe of God and the knowledge hee hath beene pleased to give me shall exhibite unto this renowned Citie a line and rule to measure vessels with according to true art and shall teach how to reforme an errour which hath for some time through ignorance of better usurped the place of truth and that with much more facility then it is committed I hope I shall not justly be thought to wander out of the limits of my profession and calling Now the occasion whereby I invented it was this Many yeares agoe I devised for my private use an instrument which I The occasion vvherby this gauging instrument was invented called the Circles of proportion which is nothing else but the Logarithmes of Numbers Sines and Tangents set on circles And I writ in latine the manifold uses thereof not onely in Arithmetical Geometrical and Astronomical calculations but also in divers other accounts practises and questions which are occurrent in the civill societie and conversation of mankind among which one was concerning the measuring or Gauging of vessels wherein taking the forme of them to be spharoide or like a long sphaere with the two ends equally cut off as generally both by the ancienter and later writers is supposed and in the fabric of such vessels is still aymed at by the Makers I delivered out of the grounds and inventions of that most admirable Artist Archimedes the true and artificiall way of finding their severall contents and applyed it unto the use of that my instrument with as much ease and expeditnesse as I could Neither did I at all discourse upon the Mechanicall waves practised by other men much lesse refute any of their errors but onely barely and positively delivered the truth These my notes and that my instrument after many yeares at the perswasion of a friend of mine who profered to translate them into English I was content hee should set out and make common my selfe not having any hand in that publication When now the translation was ready for the Printer my friend having perused that which Master Gunter in his second booke of the Crosse staffe Chapt. 4. writeth very obscurely about Gauging of vessels asked mee what he meant by the meane Diameter after the vsuall manner I answered him that in the vsuall manner of art there was no medium or meane but the meane betweene the two extreme termes in some kind of Proportion and that all proportion being either Arithmetical Geometrical or Musical hee being a Scholer and an Artist must needs as I thought by the meane understand one of those three and most likely the meane arithmetical which is the greatest of them For supposing the two extreme termes to bee 9 and 4 betweene these the meane arithmetical is 61 ● which is halfe the summe of both the meane geometrical is 6 and the meane in musical proportion is 5● 13. And yet said I the meane arithmetical is too little as in the mensuration of tapering timber I proved much more either of the two rest And other meane diameter which may give the true content of a sphaeroides art affordeth none My friend replyed Master Gunter is generally acknowledged to have bin a man of skill and you utterly unknowne and hee that shall find your booke disagreeing from his documents will without any more adoe reject it you shall therefore doe well to write in a few lines why you differ from Mr. Gunter and to shew that his way by the meane diameter cannot stand with art Which his counsell I seeing not to be unnecessary especially in regard of the great paines hee had taken in the translation of my notes tooke a pen and presently in the margine of his translation writ that short advertisement touching Mr. Gunters meane diameter Not long after that translation was in print word was sent me into the countrey that an old man that said he was the Gauger of London came earnestly inquiring after me and was very angry professing hee would vindicate Mr. Gunters credit and speake for him that could not answer for himselfe and that I had taught a false way of Gauging vessels and that both hee and many others had bought of my bookes which much troubled him and hee was very solicitous how they should come by their money againe and that hee never saw such a booke in his life for he could not tell what to make of it The translator told him that when he or any other for him should disprove that way of measuring vessels which I had delivered let him bring his booke and he should have his money againe for it At my next comming to London hee hearing of my being in towne came to mee and expostulated with me why I would presume to
question any thing that Mr. Gunter writ I answered him that it is a fault incident to the students of these arts to be very incredulous especially if they see demonstration to the contrary Hee said I understood not what Mr. Gunter meant by the meane diameter after the vsuall manner For Mr. Gunter though hee said not so much did understand the manner vsuall in London and that hee him selfe followed in gauging which was to halfe the summe of the diameters at the head and bung and to adde one quarter of their difference and that this was a true way and a better way then mine and that if hee should use my way it would require much more paines and longer time and that hee had a man whom hee had taught which had little or no skill in Arithmetic and could scarce multiply yet in his way hee should gauge with any man in England and that if that his way were not right hee might doe more wrong in a few yeares then any Aldermans state in London is worth and that hee was sworne to doe justly I answered that the greater tye lay upon him to doe justly and the more hurt hee might doe by misgauging the more thankes hee owed mee for shewing him the right and with the more gladnesse hee should embrace it notwithstanding it might have some more difficultie for though I should hold my peace as Mr. Gunter it seemeth did yet hee were never the more justifiable and wished him to looke to his conscience especially seeing now hee might informe himselfe in the truth Hee said hee found indeed by his experience that the adding of a quarter of the difference was somewhat too much and therefore that now hee began to take one fift part thereof and yet both wayes were better then mine and hee would not learne of mee to gauge vessels And so went his way in great choler and displeasure I did indeed wonder at that his assertion that whether hee tooke the quarter or the fift part of the difference yet both are better then the way of art which I had delivered for even in that example which in my booke is set downe of a vessel having the diameter at the bung 32 inches and the diameter at the head 18 inches and the length 40 inches had hee but made triall hee should have found the content computed by one quarter of the difference to have beene gallons 110 and almost an halfe and by one fift part to have beene gallons 1051 10 whereas the true measure by art is gallons 107 and an halfe and somewhat better which is almost in the very midst betweene both so that if any man will suppose one of his wayes bee it the former or the latter to bee right yet the other must of necessitie bee further from the truth then that which I taught because it falling betweene both must needs bee neerer to each then one of them is to the other Not long after Mr. Elias Allen a man well knowne and esteemed by all men of art for his skilfulnesse in making instruments in metal being in the company of some gentlemen of good quality and worth upon occasion related these former words of the Gauger what great detriment hee might doe by his manner of Gauging if it were not true Which his speech Mr. George Ethrege then Master of the right worshipfull Company of Vinteners hearing and observing said that indeed he doubted not but there was much wrong done by misgauging wine vessels and that many times they found it to their cost but they could not easily remedy it And therefore invited Mr. Allen to request me to devise a Gauging instrument which might be according to true art and of familiar and easie performance that they might examine and try their vessels themselves and said it would bee an invention very acceptable and of great use and a meanes to prevent much wrong that many times is done Which inquisition and studie to find out a true and perfect instrument for measuring of vessels though at first without any hope of effecting any singular thing therin after such a number of learned artists and writers in this kind with the meanest of which I am not to bee compared I undertooke merely our of my love to the society of mankind and my desire of advancing truth and justice and at last by the helpe of God who is righteous and loveth righteousnesse have brought to passe And herein withall humble and affectionate serviceablenesse both unto you my right honourable LL. upon whom the principall care of all such admensurations within this most flourishing and illustrious Citie doth rest and of you right worshipfull the Masters and whole Company of Vintners and to as many of this most renowned Citie as shall have cause to use the same I present this my new gauging instrument Onely desiring thus much that you would be pleased to vouchsafe it your acceptance with the same loving and benevolent respect as I my selfe had unto you and the truth in the investigation thereof Neither indeed may I omit to report the noble favour that the right The tryall made of this gauging instrument and the certainty of it worshipfull Company of Vintners did afford though unknowne unto mee For when Mr. Elias Allen had finished up one of those my instruments or gauging rods and had brought it to their Hall they presently deputed certaine of their society to see the experience and performance thereof at the Taverne by Leaden-hall under the signe of the Kings-head and they tooke the paines to examine the truth of it in many and sundry kinds of wine vessels where as I have beene told for I was not there present my selfe beyond all expectation they found such an exact agreement with the measure of water they filled in by gallons after the sealed Standard for wine measure that in most the difference was scarce sensible whereas the markes set thereupon exceeded the same measures by two or three and sometimes more then foure gallons in a vessell Whereupon they agreed with Mr. Allen for a price and bespake of him threescore of the same my rods or instruments Which so noble and courteous respect unto me to decree the examination of that my invention though other benefit or recompense for the same I demand none I cannot but acknowledge with much thankefulnesse Neither is the facilitie of working The facilitie of working by this new rod compared with the troublesomenesse of the other erroneous way therewith any whit inferior to the certaintie of it but even in measuring of vessels by this true rule much lesse paines is taken then that other erroneous and inartificial way doth necessarily require For therein first the two diameters at the bung and at the head measured in ynches must be added together and halfe the summe of them taken and kept Secondly the diameter at the head is to bee subducted out of the diameter at the bung and the remaines to bee divided by