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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