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ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A37083	The reformed librarie-keeper with a supplement to The reformed-school, as subordinate to colleges in universities / by John Durie ; whereunto is added, I. An idea of mathematicks II. The description of one of the chiefest libraries which is in Germanie ...	Dury, John, 1596-1680.; Hartlib, Samuel, d. 1662.; Pell, John, 1611-1685. Idea of mathematicks.; Schwartzkopf, Johann, 1596-1659. Bibliotheca augusta ... quae est Wolferbyti.	1650 (1650)	Wing D2882; ESTC R7272	22,097	70

them either to the Hous or to such as can in due time swaie the Counsels of leading men in this Common-wealth AN Idea of Mathematics written by M r Joh. Pell to Samuel Hartlib Sir THe sum of what I have heretofore written or spoken to you concerning the advancement of the Mathematics is this As long as men want will wit means or leisure to attend those studies it is no marvail if they make no great progress in them To remedie which I conceiv these means not to bee amiss 1. To write a Consiliarius Mathematicus so I call it answering to these 3 questions Q. 1. What fruit or profit ariseth from the studie of Mathematics Q. 2. What helps are there for the attaining this profitable knowledg Q. 3 What order is to bee observed in using these helps To this purpose it should contain 1. A plain and popular discours of the extent of the Mathematics with the profit that redound's first to the Student himself and then to the Countrie wherein there are manie such grounded Artists 2. A Catalogue of Mathematicians and their works in this order 1. A Synopsis of all the several kinds of Mathematical writings either extant in print or accessible Manuscripts in publick Libraries with several numbers set to everie kinde 2. A Chronical Catalogue of all Mathematician's names that ever were of note according to the order of the years when they lived with the year when anie of their works were first printed 3. A Catalogue of the writings themselvs in the order of years in which they vvere printed in anie language And this I vvould contrive thus First the year of our Lord and then the names of all the Mathematical Books Printed that year in anie Countrie or Language after the usual manner of Catalogues but 1. Adding the volume that is not onely what fold 40. 80. c. but also the number of leavs that wee may estimate the bulk of the Book 2. Prefixing before the title the year to vvhich you must look back to know either vvhen it vvas vvritten or vvhen it vvas last before Printed in that or any other Language 3. Setting in the margent after the Title 1. The year vvherein it vvas the next time Printed 2. The number of reference to the Synopsis in the first page By vvhich numbers one may presently run over all the Books of one sort of this or that particular subject 3. A Counsel directing a student to the best Books in everie kinde In vvhat order and how to read them What to observ what to beware of in som Mathematicasters how to proceed and keep all 4. A Paraenesis First To all those who have means and leisure and a wit not unapt for these studies to set upon them in regard 1. of their profitableness to the student and to mankinde 2. of that more refined pleasure of hunting out hidden truths vvrastling vvith difficult Problemes and getting the victorie and so much the rather becaus 3. of the great facilitie that is novv in that studie by reason of the many helps to spare much labor time and cost vvhich our forefathers vvere forced to spend Secondly To all those who have understanding to estimate the worth of these studies and wealth vvherewith to purchase themselvs lasting honor by the vvise dispensing of it to take more notice of this sort of students and to encourage them setting apart the choicest of them to perfect the inventions to vvhich their Genius lead's them Especially To all Princes and Estates vvhom it concern's to take a cours 1. that their dominions may bee better furnished vvith this sort of students 2. That the vvaie may bee made less laborious and costlie 3. That Mathematica ingenia may bee discovered and assisted To vvhich end it vvould bee good 2. to erect a Publick Librarie containing all those Books and one instrument of everie sort that hath been invented vvith sufficient revenue 1. To buy one copie of all those that shall bee Printed yearly in other Countries and 2. To maintain a Librarie-keeper of great judgment to whom it may belong † 1. To peruse all Books of such subjects to bee Printed within that Countrie and 1. Suppress vvhatsoëver is not according to Art that Learners bee not abused and 2. Admonish the Writers if they bring nothing but stale stuff 2. Upon his credit to approv excellent inventions and unpartially to commend the inventors to the rewarders 3. To receiv record and place one Printed copie of everie Book so perused sent into the Librarie vvell bound at the Autor's or Book-seller's charge 4. To resolv anie student that enquire's about anie Probleme vvhether it have been don already or no fearing lest hee should actum agere and therefore perhaps suppressing som invention vvhich hee hath light upon but doubts it is old and to bee found in som of the Books of that Librarie 5. To receiv c. all such Manuscripts as shall bee brought thither by vvaie of gift Legacie or the like 6. To maintain correspondence vvith such as himself in other Countries to know vvhat is Printed there 7. To take notice of all his Countrimen that are fit to bee Teachers c. 8. To keep a Catalogue of all such vvorkmen as are able and fit to bee imploied in making Mathematical Instruments and representations vvorking upon Wood Magnets Metals Glass c. 9. To give testimonial after examination to all sorts of practisers as Pilots Masters Landmeters Accomptants c. of their speculative abilitie and practical dexteritie that those that have occasion to use such men bee not abused by unable undertakers to their exceeding great damage By the Catalogue men might bee informed in that multitude of Books vvith vvhich the vvorld is novv pestered vvhat the names are of those Books that tend to this studie onely In the Librarie they might finde the Books themselvs read them and if they liked them knovv vvhither to send to buy them Besides anie vvhether forreiners or others might have recours thither and learn vvhat helps that Countrie would afford them in these studies And this is the best cours that I can think on for the making use of such helps as wee have already If men desire better helps let them emploie fit Artists 3. To vvrite and publish these three new Treatises † 1. Pandectae Mathematicae Comprehending as Clearly Orderly and Thrftily and Ingenuously as may bee vvhatsoëver may bee gathered out of all those Mathematical Books and Inventions that vvere before us or that may bee inferred as Consectaries thereon citing at the end of everie period or Proposition the ancientest Autor in vvhich it is found and branding all later vvriters if they bee taken stealing or borrovving vvithout acknovvledgment or vvhich is vvors expresly arrogating to themselvs anie other man's inventions This vvould bring that great Librarie into far less room to the saving of more labor time and cost to all after-students than men can yet vvell imagine But becaus this also

vvould bee too great and cumbersom to carrie about us Let there bee composed 2. Comes Mathematicus Comprehending in a pocket-Book and therefore as briefly as may bee the usefullest Tables and the Precepts for their use in solving all Problemes vvhether purely Mathematical or applied to such practices as men's various occasions may require And lastly that in this kinde of Learning also vvee bee no longer tied to Books Let there bee composed 3. Mathematicus 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 or An instruction shevving hovv anie Mathematician that vvill take the pains may prepare himself so as that hee may though hee bee utterly destitute of Books or Instruments resolv anie Mathematical Probleme as exactly as if hee had a complete Librarie by him And this is the Idéa vvhich I have long framed to my self according to my fashion vvith vvhom this passeth for an undoubted truth that the surest vvaie to com to all possible excellencie in anie thing is to propose to our selvs the perfectest Idéa's that vvee can imagine then to seek the means tending thereto as rationally as may bee and to prosecute it vvith indefatigable diligence yet if the Idéa prove too high for us to rest our selvs content vvith approximation As for this present Idéa I am so far from counting it meerly-impossible that I see not vvhy it might not bee performed by one man vvithout anie assistants provided that hee vvere neither distracted vvith cares for his maintenance nor diverted by other emploiments The excellencie of this vvork make's me vvish mine ovvn Nation the honor of first undertaking and perfecting this design And I conceiv I have som reason to hope that it vvill bee so For though I knovv fevv or none that are both able and vvilling to promote designs of this nature yet can I not therefore bee persvvaded that this Kingdom is so destitute of learned Nobilitie and Gentrie that there can bee found none to countenance and advance this part of Learning even in this vvaie if they could see it possible and likely to bee effected As for the Librarie and Catalogue there can bee no doubt but they may easily bee had if Monie bee not vvanting Nor is it unlikelie that divers of this Nation if they be set apart for it are able to compose the other 3. new Treatises For though I knovv no such yet I persvvade my self there may bee found amongst us men able to encounter all the difficulties and to endure all the labor that they must needs meet vvith in the raising of so great a Fabrick And I the rather believ that there are many such becaus for mine own part notvvithstanding the vvant of Counsel and helps in that studie and the innumerable diversions and distractions that I have had I am nevertheless com to such a confidence of my understanding the depth of that studie that vvere I to pen those Pandects I should laie heavier Lavvs upon my self than I have alreadie mentioned namely First to laie dovvn such an exact Method or description of the process of Man's reason in inventions that afterward it should bee imputed meerly to my negligence and disobedience to my ovvn Lavvs and not to their insufficiencie if from my first grounds seeds or principles I did not in an orderlie vvaie according to that prescribed Method deduce not onely all that ever is to bee found in our Antecessor's vvritings and vvhatsoëver they may seem to have thought on but also all the Mathematical inventions Theoremes Problems and Precepts that it is possible for the vvorking vvits of our successors to light upon and that in one certain unchanged order from the first seeds of Mathematics to their highest and noblest applications as vvell as to the meanest and most ordinarie Not setting them dovvn at random as they com in my head as those before us have don so that they seem to have light upon their Problems and the solutions of them by chance not to have found them by one perpetual constant invariable process of Art Yet such an Art may men invent if they accustom themselvs as I have long don to consider not onely the usefulness of men's vvorks and the meaning and truth of their vvritings but also how it came to pass that they fell upon such thoughts and that they proposed to themselvs such ends or found out such means for them Were these Pandects thus made and finished I suppose it is manifest that by their orderlie rational and uniform compleatness above all that hath been hitherto vvritten they vvould spare after-students much labor and time that is novv spent in seeking out of Books and disorderlie reading them and struggling vvith their cloudie expressions unapt representations different Methods confusions tautologies impertinencies falshoods by paralogisms and pseudographemes uncertainties becaus of insufficient demonstrations c. besides much cost also novv throvvn avvaie upon the multitude of Books the greater part vvhereof they had perhaps been better never to have seen And it may be som vvould like the Method of that vvork so vvell as to extend it farther and applie it to other studies in speculation imitating this my vvariness that no falshood bee admitted and no truth omitted and for practice enuring themselvs anie subject beeing propounded to determine the number of all the Problemes that can bee conceived concerning it and anie Probleme beeing propounded demonstratively to shevv either all the means of it's solution or the impossibilitie of it and if so then vvhether it bee not yet or not at all possible Men vvould easilie see hovv to contract these Pandects into a pocket-Book for their ordinarie use But so to laie them up in their heads as to need no Book at all according to that desideratum of mine to have a Mathematicus 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 vvill perhaps seem utterly impossible to most No man that ever I heard of having proposed such a scope to himself before But perhaps they vvill conceiv it more possible if it pleas them to suspend their judgments till they have considered what means may bee used to fortifie the imagination to prompt the memorie to regulate our reason and what effects may bee produced by the uniting of these means and the constant exercising of them For mine ovvn part the consideration of the incomparable excellencie unstained pleasure vnvaluable profitableness and undoubted possibilitie of this vvhole design hath prevailed so far vvith mee that notvvithstanding all the discouragements that I have met vvithal I have don more tovvards it than bare Idéa BIBLIOTHECA AUGUSTA SERENISSIMI ILLUSTRISSIMI PRINCIPIS ac DOMINI D. AUGUSTI Ducis Brunovicensis Lunaeburgensis Quae est WOLFERBYTI In Bibliothecam Augustam VIderat Augustam Dea Caesia Bibliothecam Augusti manibus Guelphicâ in Vrbe strui Nunc mihi tur●igeras quantumvìs Ma●●spiter arces Objice quas vehemens Occaracingit ait Grandia si Libris praefers tormenta memento Illa homines-miseros hanc posuisse Deum M. Henricus Julius Scheurl

the uselesness thereof som inclination to bee found extraordinarie but these endevors disjointed from publick Aims advance little or nothing the Happiness which true Learning rightly ordered in all the parts thereof and Subordinate unto Christianitie is able to bring unto Mankind Such pieces therefore serv onely as a witness to shew what wast there is of profitable time and abilities for want of loving combinations for publick Designs It is the observation of Forreigners concerning our Universities that they finde in them men of as great learning as any where els but that they lie as it were dead and unknown to the whole world of other men of Learning becaus they delight to live a retired and unsociable life this humor therefore amongst other parts of our Reformation must by som Gospel-principles and Rational inducements bee Reformed not onely in Colleges but in other Associations The Lord teach us the waie of Truth and Righteousness that wee may profit in all things to advance the glorie of his name in the Kingdom of his Son in whom I rest Your friend and servant J. D. THE REFORMED LIBRARIE-KEEPER BY JOHN DURIE IN DOMINO CONFIDO LONDON Printed by William Du-gard Anno Dom. 1650. THE Reformed Librarie-Keeper OR Two copies of Letters concerning the Place and Office of a Librarie-Keeper The first Letter THe Librarie-Keeper's place and Office in most Countries as most other Places and Offices both in Churches and Universities are lookt upon as Places of profit and gain and so accordingly sought after and valued in that regard and not in regard of the service which is to bee don by them unto the Common-wealth of Israël for the advancement of Pietie and Learning for the most part men look after the maintenance and livelihood setled upon their Places more then upon the end and usefulness of their emploiments they seek themselvs and not the Publick therein and so they subordinate all the advantages of their places to purchase mainly two things thereby viz. an easie subsistence and som credit incomparison of others nor is the last much regarded if the first may bee had except i● bee in cases of strife and debate wherein men are over-heated for then indeed som will stand upon the point of Honor to the hazard of their temporal profits but to speak in particular of Librarie-Keepers in most Universities that I know nay indeed in all their places are but Mercenarie and their emploiment of little or no use further then to look to the Books committed to their custodie that they may not bee lost or embezeled by those that use them and this is all I have been informed that in Oxford where the most famous Librarie now exstant amongst the Protestant-Christians is kept the setled maintenance of the Librarie-keeper is not above fiftie or sixtie pound per annum but that it is accidentally viis modis somtimes worth an hundred pound what the accidents are and the waies by which they com I have not been curious to search after but I have thought that if the proper emploiments of Librarie-keepers were taken into consideration as they are or may bee made useful to the advancement of Learning and were ordered and mainteined proportionally to the ends which ought to bee intended thereby they would bee of exceeding great use to all sorts of Scholars and have an universal influence upon all the parts of Learning to produce and propagate the same unto perfection For if Librarie-keepers did understand themselvs in the nature of their work and would make themselvs as they ought to bee useful in their places in a publick waie they ought to becom Agents for the advancement of universal Learning and to this effect I could wish that their places might not bee made as everie where they are Mercenarie but rather Honorarie and that with the competent allowance of two hundred pounds a year som emploiments should bee put upon them further then a bare keeping of the Books It is true that a fair Librarie is not onely an ornament and credit to the place vvhere it is but an useful commoditie by it self to the publick yet in effect it is no more then a dead Bodie as novv it is constituted in comparison of vvhat it might bee if it vvere animated vvith a publick Spirit to keep and use it and ordered as it might bee for publick service For if such an allovvance vvere setled upon the emploiment as might maintain a man of parts and generous thoughts then a condition might bee annexed to the bestowing of the Place that none should bee called thereunto but such as had approved themselvs zealous and profitable in som publick waies of Learning to advance the same or that should bee bound to certain tasks to bee prosecuted towards that end whereof a List might bee made and the waie to trie their Abilities in prosecuting the same should bee described least in after times unprofitable men creep into the place to frustrate the publick of the benefit intended by the Doners towards posteritie The proper charge then of the Honorarie Librarie-Keeper in an Universitie should bee thought upon and the end of that Imploiment in my conception is to keep the publick stock of Learning which is in Books and Manuscripts to increas it and to propose it to others in the waie which may bee most useful unto all his work then is to bee a Factor and Trader for helps to Learning and a Treasurer to keep them and a dispenser to applie them to use or to see them well used or at least not abused And to do all this First a Catalogue of the Treasurie committed unto his charge is to bee made that is all the Books and Manuscripts according to the Titles whereunto they belong are to bee ranked in an order most easie and obvious to bee found which I think is that of Sciences and Languages when first all the Books are divided into their subjectam materiam whereof they Treat and then everie kinde of matter subdivided into their several Languages And as the Catalogue should bee so made that it may alwaies bee augmented as the stock doth increas so the place in the Librarie must bee left open for the increas of the number of Books in their proper Seats and in the Printed Catalogue a Reference is to bee made to the place where the Books are to bee found in their Shelvs or repositories When the stock is thus known and fitted to bee exposed to the view of the Learned World Then the waie of Trading with it both at home and abroad is to bee laid to heart both for the increas of the stock and for the improvement of it to use For the increas of the stock both at home and abroad correspondencie should bee held with those that are eminent in everie Science to Trade with them for their profit that what they want and wee have they may receiv upon condition that what they have and wee want they should impart in

that facultie wherein their eminencie doth lie As for such as are at home eminent in anie kinde becaus they may com by Native right to have use of the Librarie-Treasure they are to bee Traded vvithal in another vvaie viz. that the things vvhich are gained from abroad vvhich as yet are not made common and put to publick use should bee promised and imparted to them for the increas of their private stock of knowledg to the end that what they have peculiar may also bee given in for a requital so that the particularities of gifts at home and abroad are to meet as in a Center in the hand of the Librarie-keeper and hee is to Trade with the one by the other to caus them to multiplie the publick stock whereof hee is a Treasurer and Factor Thus hee should Trade with those that are at home and abroad out of the Universitie and with those that are within the Universitie hee should have acquaintance to know all that are of anie parts and how their vein of Learning doth lie to supplie helps unto them in their faculties from without and from within the Nation to put them upon the keeping of correspondencie vvith men of their ovvn strain for the beating out of matters not yet elaborated in Sciences so that they may bee as his Assistants and subordinate Factors in his Trade and in their own for gaining of knowledg Now becaus in all publick Agencies it is fit that som inspection should bee had over those that are intrusted therewith therefore in this Factorie and Trade for the increas of Learning som tie should bee upon those Librarie-keepers to oblige them to carefulness I would then upon this account have an Order made that once in the year the Librarie-keeper should bee bound to give an account of his Trading and of his Profit in his Trade as in all humane Trades Factors ought and use to do to their principals at least once a year and to this effect I would have it ordered that the chief Doctors of each facultie of the Universitie should meet at a Convenient time in a week of the year to receiv the Accounts of his Trading that hee may shew them wherein the stock of Learning hath been increased for that year's space and then hee is to produce the particulars which hee hath gained from abroad and laie them before them all that everie one in his own facultie m●● declare in the presence of others that which hee thinketh fit to bee added to the publick stock and made common by the Catalogue of Additionals which everie year within the Universities is to bee published in writing within the Librarie it self and everie three years or sooner as the number of Additionals may bee great or later if it bee smal to bee put in Print and made common to those that are abroad And at this giving up of the accounts as the Doctors are to declare what they think worthie to bee added to the common stock of Learning each in their Facultie so I would have them see what the Charges and Pains are whereat the Librarie-Keeper hath been that for his encouragement the extraordinarie expences in correspondencies and transcriptions for the publick good may bee allowed him out of som Revenues which should bee set a part to that effect and disposed of according to their joint-consent and judgment in that matter Here then hee should bee bound to shew them the Lists of his correspondents the Letters from them in Answer to his and the reckoning of his extraordinarie expence should bee allowed him in that which hee is indebted or hath freely laid out to procure Rarities into the stock of Learning And becaus I understand that all the Book-Printers or Stationars of the Common-wealth are bound of everie Book which is Printed to send a Copie into the Universitie Librarie and it is impossible for one man to read all the Books in all Faculties to judg of them what worth there is in them nor hath everie one Abilitie to judge of all kinde of Sciences what everie Autor doth handle and how sufficiently therefore I would have at this time of giving accounts the Librarie-keeper also bound to produce the Catalogue of all the Books sent unto the Universitie's Librarie by the Stationars that Printed them to the end that everie one of the Doctors in their own Faculties should declare whether or no they should bee added and where they should bee placed in the Catalogue of Additionals For I do not think that all Books and Treaties which in this age are Printed in all kindes should bee inserted into the Catalogue and added to the stock of the Librarie discretion must bee used and confusion avoided and a cours taken to distinguish that which is profitable from that which is useless and according to the verdict of that Societie the usefulness of Books for the publick is to bee determined yet becaus there is seldom anie Books wherein there is not somthing useful and Books freely given are not to bee cast away but may bee kept therefore I would have a peculiar place appointed for such Books as shall bee laid aside to keep them in and a Catalogue of their Titles made Alphabetically in reference to the Autor's name with a note of distinction to shew the Science to which they are to bee referred These thoughts com thus suddenly into my head which in due time may bee more fully described if need bee chiefly if upon the ground of this account som competencie should bee found out and allowed to maintein such charges as will bee requisite towards the advancement of the Publick good of Learning after this manner The second Letter Sir IN my last I gave you som incident thoughts concerning the improvement of an Honorarie Librarie-keeper's-place to shew the true end and use thereof and how the keepers thereof should bee regulated in the Trade which hee is to drive for the Advancement of Learning and encouraged by a cōmpetent maintenance and supported in extraordinarie expences for the same Now I wish that som men of publick Spirits and lovers of Learning might bee made acquainted with the Action upon such grounds as were then briefly suggested who know's but that in time somthing might bee offered to the Trustees of the Nation with better conceptions then these I have suggested For if it bee considered that amongst manie Eminencies of this Nation the Librarie of Oxford is one of the most considerable for the advancement of Learning if rightly improved and Traded withal for the good of Scholars at home and abroad If this I saie bee rightly considered and represented to the publick Reformers of this age that by this means this Nation as in other things so especially for Pietie and Learning and by the advancement of both may now bee made more glorious then anie other in the world No doubt such as in the Parlament know the worth of Learning will not bee avers from further overtures which