Selected quad for the lemma: cause_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
cause_n	great_a	know_v	see_v	5,670	5	3.0830	3	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A20103	Grammelogia, or, The mathematicall ring extracted from the logarythmes, and projected circular : now published in th[e] inlargement thereof unto any magnitude fit for use, shewing any reasonable capacity that hath not arithmeticke, how to resolve and worke, all ordinary operations of arithmeticke : and those that are most difficult with greatest facilitie, the extract on of rootes, the valuation of leases, &c. the measuring of plaines and solids, with the resolution of plaine and sphericall triangles applied to the practicall parts of geometrie, horo[l]ogographic, geographie, fortification, navigation, astronomie, &c, and that onely by an ocular inspection, and a circular motion / invented an[d] first published, by R. Delamain, teacher, and student of the mathematicks.	Delamain, Richard, fl. 1631.	1630 (1630)	STC 6543; ESTC S763	85,409	123

mooveable which may be supposed the diameter of a Circle the Axis of a spheare the side of a plaine figure or that of a solid body so the numbers in the fixed in the Circle of numbers against the potentiall notes in the mooveable shall represent the diameter Axis or side of its homogeniall figure or solid according to the proportion of these potentiall notes in the mooveable 10. Tenthly marke what numbers in the Circle of numbers in the fixed are against the notes of the regular figures such shall bee their Areas and the numbers in the fixed against the regular Bodies convexities such is their superficiall convexitie and the number in the fixed against 1. in the mooveable is the square of one of the sides of the regular figures or the sides of one of these bodies and what numbers in the fixed are against the notes of the solid bodies such shall b● the severall solidities or contents of these regular bodies and the number in the fixed against 1. in the mooveable is the Cube of the sides of these bodies Lastly most courteous Reader not in any braving flourishes or branding any of the Nobilitie or Gentry with the attribute of jugling against the simple modestie of the Author I have in some measure supported their honours in that particular in the Epistle at the end of this Booke and that wee may say something more upon the excellencie of this Instrument without multiplying of tautologized and needelesse prefixed graduall numbers or Circuitions if not Circumlocutions in the naked truth of this Instrumentall proiection according to its naturall propertie The Roots of all square and cubicke numbers without partition are given and that by an inspection of the eye onely Thus I might have extended my selfe more copiously in the excellent use of this my mooveable and fixed Circle and even from the Instrumentall position by an inspection of the eye onely without motion compile a large Booke of its ample performance but in that which I have delivered I have onely but scatteringly glanced upon things as making way for many occasions and as a motive to a further inquiry It s an ancient proverbe amongst us good wine needs no Bush but the wine must not be fast lockt up then that none can come by it if so it wants both bush and key and to some such needelesse expressions might be avoided the Instruments owne excellency will to the more learned easily present it selfe that which I have published concerning it I glory not in but onely desire to satisfie those who would see the difference of both wayes with and without a mooveable Circle to let others know the truth of things which are conceated and carryed away with opinion onely that the way of the Index on a single proiection is better then the way of a mooveable and fixed Circle which both in regard of expedition as also copiousnesse of the Instrumentall use by motion or without motion comes short of the other What meanes the Authors divulgation then that the way of the Index is better then the way of a mooveable and fixed Circle I know not whose knowne skill in the whole Systeme of Mathematicall learning will easily free him from the suspition that the way can be made or the subject unvailed for him But I have now a little more made bold to unvaile the subiect for some in the copious declaration of the excellent use of this Logarythmall projection Circular by a mooveable and fixed Circle and also in its inlargement which hitherto lay in obscurity and as a generall benefit to those that affect the way of this Instrumentall practise It were good that the divulgers would prove their aspertions touching the word better that others might participate substancially of their better way by the Instrumentall performance eyther by motion or without motion and not to allure the world by a bare exhortation unto the affection of the one Instrument and by a dehortation to beate downe the use of the other which savours of too high a conceite of the one and too great a detraction from the other Too great too loose an aspertion hath bin cast upon me about these things which I never thought in the least title when I first writ upon this Invention or my name so to come to the worlds rumor as it hath since the last publication of this Logarythmall projection Circular howsoever here is my comfort the guiltlesnesse and innocency of my cause which may teach me and others carefulnesse hereafter how and what we publish to the world seeing there are such carpers and maligners even of the most usefull and best things yea such busie bodies who marre that which others make who scorne to have a second knowing all things and admiring nothing but themselves such who have stings like Bees and Arrowes alwayes ready to shoot against these whom they dislike such who while they will needs have many callings neglect their owne sharpe wittie cryticks Diogenes like snarling at others and not looking home unto themselves but by all meanes endevouring to take away the mantle of peace and rent the seamelesse coate of love and amitie If things be not done well by others then they triumph and send forth their invectives if well they professe it nothing and cannot passe without their censure To speake ill of a man upon knowledge shewes want of Charity but to raise a scandall upon a bare supposition to act it in Print argueth little humanity lesse Christianity but enough of this if not too much I am sure some have casted too much already perhaps others hereafter may helpe to bare a share for my owne part I desire no favour but the truth and equitie of my cause and the due waighing of things with their reall circumstances Veritas non quaerit Angulos I desire no shifting or pretences but if I have done others wrong let me suffer If I have beene wronged by others let me have truth and right done me that 's all I require Who am An ever well wisher to the truth and thee R. D. To the Reader SInce my first publication of the uses of my Mathematicall Ring or the Logarythmes projected Circular I have beene oftentimes invited by sundry persons for the way of the projecting and dividing of the Circles of my Ring upon a Plaine so that it might be made in Pastboard to avoyde the charge of the Instrument in metal for such which have not abilities to buy and for others who would first see the practise on it before they would be at the cost of the Instrument in metal for whose sake and use desiring to satisfie the affectionate and for a publike benefit rather then ayming at mine owne particular profit I have caused two Plates of metal to be cut ingraved the one containing the Circles of the Projection of my Ring to bee used on a Plaine as it is there described noted with the letter A. and the other comprehending that

manifold and laborious calculated Tables of the learned in their Subtenses Sines Tangents and Secants serve were they not to avoyd the great toyle of Algebreticall worke in Radicall extractions which otherwise in Trigonometrie the practicall end of Theory must necessarily be used but they were Invented produced to avoid the losse of time to the more learned who know the causes of their operation in the Genises and as a facilitie to open the way unto the unlearned though thousands working Trigonometrie by them knowes not scarce the cause of such operation which in a manner is as meere Mechanicall as if it were Instrumentall though more accurate in its performance But to come nearer unto these present times how hath the Invention of Logarythmes taken away the labour and losse of time that was used in former calculation for that which cannot be done by the common Tables of Sines Tangents Secants in 20. hours is now done by the helpe of the Logarythmall Tables in one houre there are thousands in the world that also worke by them for their private use by reason of their great quicknesse in hard and laborious matters who know not the cause also why these Numbers should so expedite such a difficultie with so great a facilitie celeritie yet they use them though the performance be also mechanicall that they may not likewise lose time Now Instruments though they bee extracted from Tables yet according to their capacitie in practise they exceede these Tables in all common serviceable uses that I dare maintain that what the Logarythmes by the Tables for giving of proportionalls either in Numbers Sines or Tangents will doe in 20. houres my Ring or the Circles so projected from it will doe in one houre Which Instrumentall Invention I have also produced to helpe the studeous to avoyd the losse of pretious time which to omit and keepe them from it in some occasions were also misspending of time Therefore in respect of private mens ends to begin with Instrument is not to Iuggle nor to doe tricks neyther to oppose or dispite Art or to betray willing and industrious wits to ignorance and idlenesse nor losse of pretious time BVt I would be loath while I seeme to vindicate the losse of time cause others to lose it by my too prolix defending of it the vindicating of the truth indeed was my cheefest ayme which I hope will be my spokeseman defend it selfe meane while not to hould my Reader too long I wish with all my heart that such occasions were taken away then might he spend so much time in reading better things and I in propagating not in defending my right detraction Calumnie and defamation come close to a man and therefore my Reader may excuse me if I be so tender of it since it may be his owne case how innocent soever perhaps the very next of all There is and I am not the first nor it m●y be the last truly sensible of it a generation in the world true salamanders whose delight is to live in the fire of contention endeavouring to loade others with Calumnie and detraction and to raise unto themselves a proud Babell out of others ruins a vice odious both to God and man thereby forgetting the rules of equitie which ought to be observed so to deale with others as one would be dealt withall thereby blemishing the good name of another who are not ignorant or at least should not be how pretious the name of a man is is it not above Riches above pleasure aboue Gold it selfe Calumnie indeede is the fire this Gold is cast into sometimes onely heere 's the difference this purifies the one and that strives to pollute the other nay what speake I of those grosse things is it not dearer then life it selfe being the very life of the life here and eternitie of a mans life hereafter If he that steales but a small matter from his neighbour is obnoxious to punishment sometimes unto death is not he much more worthy of the same and greater punishment that layeth violent hands upon that which is above life it selfe If reports were true private admonitions may win men if false why are they then divulged and grant the reports be true yet is every report to be spoken may not a man breake the ninth Commandement that divulges these reports though true which tend to the infamy of another and how much more is he guilty of this breach that is not onely a blazer of such reports but a compiler Is not Satan stiled from this word of Calumniation doth he not Calumniate God to man and man to God and one man to another and shall any man tread in his steps is it not the precept of the Psalmist or rather of God by the Psalmist that every one should set a watch before the dore of his lips and keepe in that unruly member that is a world of wickednesse what is the stroake of the hand to the stroake of the tongue the one wounds the body the other wounds the soule the one may be easily cured the other hardly the one strikes them that are present the other those that are absent the one striks but one at a time the other strikes many at the same time at least three at once with the selfe same blow viz him whom he doth traduce him who heares him and himselfe and many times the last most of all and ought wee not to take great care how we order this unruly tongues what Gall what Poyson what Wormewood what Wildbeast is to bee compared with the tongue which lancinates teares and wounds the soule by the virulencie of its words and reports Looke into the heavie judgement of God against such 1 Cor. 6. that revilers shall not escape punishment Such was the account of the preciousnesse of a mans goodname in ancient times that there hath beene Lawes utterly to banish such from the society of men who by their Calumny and detraction separate all good societie amongst men making foes of friends and breaking the sweet bands of peace and charity causing nothing but brawles and dissention and as neare as they can dissolving this goodly frame into the ancient Chaos of confusion Againe some of the Antients herein are so violent that they call it Grave malum Turbulentum Daemona Pestem pestiferam and professe plainly Qui detractioni student diabolo serviunt so that as Coales are to burning Coales saith the wiseman and wood to fire so is a contentious man to kindle strife The words of a Tale bearer are wounds saith he they desturbe a mans Peace and goe downe into the inwards of the belly and a whisperer separateth deare friends I wonder what neede these Lamiae gad so much abroad having worke enough at home Te prius corrigas quam alterum corrigas If such would turne their eyes inward they should finde matter enough to mende in themselves first and afterwards they might reprehend others sed ad

regular demonstrations it was ill to checke them so grosly not onely in what they have Practised but abridging them also of their liberties with what they may Practise which aspertion may not easily be slighted off by any glosse or Apologie without an Ingenuous confession or some mentall reservation To which vilification howsoever in the behalfe of my selfe others I answer That Instrumentall operation is not only the Compendiating and facilitating of Art but even the glory of it whole demonstration both of the making and operation is soly in the science and to an Artist or disputant proper to be knowne and so to all who would truly know the cause of the Mathematicall operations in their originall But for none to know the use of a Mathematicall Instrumen except he knowes the cause of its operation is somewhat too strict which would keepe many from affecting the Art which of themselves are ready enough every where to conceive more harshly of the difficultie and impossibilitie of attayning any skill therein then it deserves because they see nothing but obscure propositions and perplex and intricate demonstrations before their eyes whose unsavoury tartnes to an unexperienced palate like bitter pills is sweetned over and made pleasant with an Instrumentall compendious facilitie and made to goe downe the more readily and yet to retaine the same vertue and working And me thinkes in this queasy age all helpes may bee used to procure a stomacke all bates and invitations to the declining studie of so noble a Science rather then by rigid Method and generall Lawes to scarre men away All are not of like disposition neither all as was sayd before propose the same end some resolve to wade others to put a finger in onely or wet a hand now thus to tye them to an obscure and Theoricall forme of teaching is to crop their hope even in the very bud and tends to the frustrating of the profitable uses which they now know and put to service and to the hindering of them in their further search in the Theoricall part which otherwise they would apply themselves unto being catched now by the sweet of this Instrumentall bate which debarring would not onely injure the studeous but also cause the Mechanicke workemen of these Instruments to goe with thinner clothes and leaner cheekes Neither doth the use of Instrument to a man ignorant of the cause of its operation any wayes oppose or dispite Art seeing that the end of producing and inventing of Instruments is their Practicall use Besides its impossible to shew the use of an Instrument but in teaching there must needes be laid downe some grounds or prolegomena● as what is meant by such or such names what are such and such tearmes and therefore the beginning of a mans knowledge even in the use of an Instrument is first founded on doctrinal preceps and these precepts may be conceived all along in its use and are so farre from being excluded that they doe necessarily concomitate are contained therein the practicke being better understood by the doctrinall part and this later explained by the Instrumentall making precepts obvious unto sense and the Theory going along with the Instrument better in forming and inlightning the understanding c. vis vnita fortior so as if that in Phylosophy bee true Nihil est intellectu quod non prius fuit in sensu and things the more they be objected to the sense are more fully represented to the understanding then it must needes follow that a doctrinall proposition laid first open to the eye and sense and well perceived enters more easily the dore being opened then if the intellect by the strength of its active sense should eliciate or screw out the meaning by a long exeogitated operations It s not therefore requisite unto all Capacities to have Instrument severed from science in many things is though the use of one could be without the other lesse or more Neither doth the practise on them betray willing industrious wits to ignorance and idlenesse that assertion therefore is very ridiculous for he that is industrious and willing to spend his houres for the attayning of any science according to doctrinall method busieth himselfe not with Instruments but applies himselfe to such Authors or such compendious abstracts as are taken from them which doe not onely open the essentiall parts of the subject in the Theory but also layes downe such documents and principles which may in a higher nature and way induce him to practise them then possibly by Instrumentall operation for exactnesse can bee attayned unto for such is the excellency of Art by Theoricall doctrine that all things tending to practise may bee done by the science onely without the helpe of Instrumentall operation certaine propositions being granted which originally and principally are proper unto Instrumentall observation being the Basis or foundation of the whole Therefore science as before hath a principall dependance on Instrument but is it in their observation rather then in their operation and the Inventions that are daily produced in that kind are onely to compendiate and facilitate practicall things which the learned in those Arts having the science scarce use at all if at any time they use them it is in small and triviall things to satisfie the sense and not the intellectuall part which Theoricall way doth not onely augment the desires of the Teachers in the accommodating things and remove of difficulties by making them conspicuous to the learner But also by so proceeding causeth the Teacher to adde many ends both pleasant and usefull by the way for the Practicers incouragement To begin with Instrument is unprofitable for the Teacher though advantagious to the learner if his ends be but to know some uses upon an Instrument as it is with many for it is easier for a man to learne more usefull Practise upon some Instrument in one houres Instruction then to know the cause in 20. houres of some Instrumentall operation and yet there are many Instruments almost as facil in their demonstration as in their operation Which kind of beginning to teach or usuall proceeding therein is not as vulgar Teachers use but is as indirect in the Method as false in the assertion if they may possibly avoid it for that were to teach against their owne profit and the dignitie of learning Yet that any Teachers of Mathematicks should be so nice as to deny the use of Instrument to such Gent. or others who perhaps desire the Theory to contemplate on hereafter but the practicke for the●r private ends for the present were not onely to frustrate their desires but injure their occasions who might rather laugh at the teachers pride then contemne his Art Lastly that the practise on a Mathematicall Instrument should be losse of precious time to any one that knowes how to use them in their practise though not in the Theory is not onely ridiculous but also untrue and absurd for to what end did the