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A15724 A discouerie of sundrie errours and faults daily committed by lande-meaters, ignorant of arithmetike and geometrie, to the damage, and preiudice of many her Maiesties subiects with manifest proofe that none ought to be admitted to that function, but the learned practisioners of those sciences: written dialoguewise, according to a certaine communication had of that matter. By Edward Worsop, Londoner. Euery one that measureth land by laying head to head, or can take a plat by some geometricall instrument, is not to be accounted therfore a sufficient landmeater, except he can also prooue his instruments, and measurings, by true geometricall demonstrations. Worsop, Edward. 1582 (1582) STC 25997; ESTC S120271 43,934 78

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his doings Peter Then he measured for them all Steuen Nay that he did not The lande was to be deuided into foure partes The sisters and their husbande 's agreed that euery of them shoulde bring their surueyours at the time appointed so that when any ground was to be measured rented and valued it might bee agreed vpon by their generall consentes Order was taken that a certaine meade should first be measured that euery measurer should measure by himselfe and that none of the other measurers should be with them and that euery man when he had done should deliuer vp his content of acres vnto Master Allen who went with them to receiue the same and to sée that one should not tell another howe much hee made it because it was thought good to see howe they would agree But when their reckonings were compared together they disagreed very much For one made it xxiii acres an other xxi and an halfe an other xvi and iii. roodes and Master Morgane made it xvii and almost a roode Hereupon rose great contention and wagering but at last all gaue place to Maister Morgane his measure He that made it xvi acres and iii. roodes found that he misreckoned himselfe almost iiii acres too litle and afterwards he sware by Gods soule that he was glad thereof because by that occasion his content came néerest to Master Morganes Ihonson I maruaile what may be the causes of their so great disagreeings and differences in one and the same so small a piece of grounde Worsop No maruaile for the common ignorant measurers by their generall rule are for the most part subiect to make groundes greater in quantitie then in troth they are Peter I would very faine see howe it can be proued that xi acres by the xviii foote perche make of statute measure xiii acres and xiiii perches When I am satisfied in that matter we wil heare further of that partition Worsop Number the square féete conteined in these iii. figures The figure A. sheweth the square féet conteined in the statute perch which are CC. lxxii and a quarter The figure B. the square féete in the xviii foote perche which are C C C. xxiiii And the figure C. the square féete in the xii foote perche which are C. xl iiii Your opinions are that a measure made with the xviii foote perche is greater then a measure made by the xii by the one halfe because xviii is xii and the halfe of xii But ye see it is farre otherwise for C C C. xxiiii the greatest square conteineth C. xliiii the lest square twise and xxxvi ouer which is the fourth part of C. xliiii So that one acre measured by the xviii foote perche is equall vnto ii acres and a roode measured by the perche of xii foote Such proportion as the squares of perches haue eche to others the groundes by them measured haue also But because you are ignorant of Geometrical proportions that is to say of Geometrical relations comparisons or respects that the proportiō of the square of the statute perch to the squares of the other perches fall so vpon the fraction as I cannot expresse them by number to your vnderstandings therefore I will set aside arte and artificiall termes in this our talke and frame my speeche as I best can to your vnderstandinges Yee all knowe that eight score perches make an acre as eight score pennies make a Marke of money Whether our coyne bee fine or base eyght score pennies euer make a Marke so whether the perche bee litle or greate eight score perches euer make the acre When yee talke of ii vnequall perches of lande yee must not thinke that yee talke of ii suche vnequall poles or lines as Surueyors measure with for they are instrumentes to laye out the sides of a perche of lande and not perches of lande If a man buye a piece of Dornixe of a yearde broade to hang a roume withall and when his hanging is made vppe hee lacketh a yarde of stuffe to perfourme the same which hee buyeth In this case the square yearde of bought s●uffe perfourmeth the hanging and not the yearde where with the stuffe was measured As a yearde of Dornixe cutte off from the peece is conteyned within the boundes and limittes of foure edges or seluages euery one beeing a iust yearde in length for that quantitie of Dornixe is called a square yearde of Dornixe so is that quantitie of grounde called a perche of lande which is conteyned within the limittes of foure perches beeing layde square And as eyght score pennies make a Marke of money so eight score such parcels or pieces of ground make an acre Ye haue told that C C C xxiiii square féet are contained in the perche of eighteene foote which summe eyght score times maketh fiftie one thousand eyght hundred and fourtie For one hundred foot eyght score times make sixteene thousand then two 3 hundred eyght score times must make eight and fourtie thousande And eight score foure and twenty times make iii. thousande eight hundred and fourtie Iohnson I vnderstande very well that this is true Peter I haue tried it in multiplying 324 by 160 and finde it to agree that waies Worsop Yee haue tolde also that two hundred three score and twelue foote and a quarter are conteined within the statute perche which summe eight score times maketh xliii thousand D. ● lx squ are féete Peter We haue cast this among our selues and finde it to bee as you haue saide VVorsop Take the lesser summe out of the greater and note howe many remaine Ihonson There remaine viii thousande two hundred and fourescore VVorsop Ye say trueth and ye perceiue that the one acre excéedeth the other so many square feete of grounde Can yee tell howe many times C C. lxxii and a quarter are conteined in eight thousand C C. lxxx Peter As wee haue cast xxx times and C xii foote and an halfe ouer VVorsop Then yee perceiue that the acre measured with the perche of xviii foot long is greater then the acre measured with the statute perche by xxx perches of land and Cxii foote and an halfe ouer How much is thirtie eleuen times Peter C C C. and xxx Worsop Howe much is C. xii and an halfe eleuen times Iohnson xii C. xxxvii and an halfe VVorsop Howe many statute perches is that Peter Foure statute perches an halfe xii foot and a quarter and an halfe of a foote VVorsop Thus ye haue found C C C xxxiiii perches an halfe a few od feet which is ii acres xiiii perches an halfe If you put them to xi acres then you haue xiii acres and aboue xiiii perches according to my former saying Iohnson I pray you let vs trie the diuersitie betweene the statute acre and the acre of xii foote perche VVorsop Ye see the xii foote perche conteineth C xliiii square seete how much is that summe eight score times Peter C xliiii eight score times is xxiii thousand
thē appertaining in their proper natures kinds He must haue great respects to the part legall when he valueth And also as great respects to qualitie and quantitie which are the partes Iudicial and Mathematical Qualitie and quantitie be inseparable companions they must of necessitie be ioyned together in apportionation valuing Who can tel what a cloth or a peece of veluet is worth if he be ignorant how much they conteine by measure A skilful man knoweth by colour finenes making strength other points Iudicial what euery yard of them is worth but he can not value thē except he also know how many yards either of them conteineth So is it of graine in heape of liquors of which the value of a bushel or of a gallon may iudicially be rated but the value of the whole cannot be knowen til true quantitie that is the number of bushels gallons be also knowen Some surueyors vse not to measure because they are ignorant of the parts mathematical but refer the measuring to such as take vpon them the knowledge therof They shew thēselues honest in not taking vpon them beyond their skil Many are skilfull in the part Legal and in many points of the part Iudicial which vnderstand litle in the parts Mathematical and therfore they deale not further then their knowledge extendeth Sometimes also the Lorde desireth not further information then in the parts Legal and Iudicial because by his euidences records and accustomed nomination what number of acres euery ground conteineth hee is satisfied touching the quantitie In cases of partitiō exchanges buyings sellings of land woodsales such like exact true measure are most requisite Pet. Two gentlemen both my very friends are very desirous to make an exchāge The one hath CCC acres lying very néere vnto the mansion house of the other Lands of like value which ly not passing 4 miles from those CCC acres should be giuen for them They haue desired me to find meanes how this exchange may indifferently bee made In lesse then ii daies it would be dispatched If I may haue your help you shal haue good chéere be very welcome to them both and pleased for your paines We wil al beare you company and help you the best we can Wor. When oportunitie on al sides serueth I wil gladly make an equal exchange for them If the grounds be so great as you say they are it is not possible to measure and rate them in so short a time As I haue diuers times measured about CCCCC acres in a day so in some other dais hauing had the like time help and as faire weather taking as great or greater labour I could not ouer come xl The formes fashions of grounds are the chiefe causes why measures are either long or spéedie in doing Many grounds that lie long narrow by an indenting crooking and winding brook side cannot truly be measured without great labour much expence of time Many such grounds haue I measured the ritchnes wherof hath bin such that many men would haue giuen aboue xx pounds for the inheritance of euery acre therof When the weightie buisinesses of partitions exchāges sales fal betwéen mē it behoueth that the measurer haue good skil and that he vse great diligence exactnes circumspection in his measurings If he shold misdo one acre in xx in such kind of groūds it were aboue xx li. losse to the one side an vnlawful gaine to the other which is a weightie matter to the soule conscience of him that either ignorātly or negligently shou●●eth vp such weightie buisin●sses It is impossible for measurers ignorant of Geometrie truely to measure such crooked groundes They can not misse so litle as one in twentie Many men rather then they would wrongfully loose halfe an acre of their inheritance would spend an hundreth pounds in the lawe for the maintenaunce of their right Many times through the ignorance of vnskilfull measurers they loose scores of acres yea sometimes in great grounds hundreths But that which the eye seeth not the heart rueth not The blinde eate many flies they knowe not of Many thinke that a Geometer can measure lande in shorter time then a common measurer that measureth onely with the pole Vnskilfull and vnlearned measurers for the most part make more hast then good spéed The ignorant thinke if a Geometer but once looke through the sights in his instrument that thereby he knoweth presently howe many acres the grounde conteineth True Geometricall measure asketh longer time then onely running ouer a grounde with a perche or a line Great cheere and company keeping binder much in the time of surueying A good surueyor will auoide them Diligent and exact surueying so fully occupieth both the bodie and minde of the whole man as he can haue small leysure for talke or recreations Iohnson I knowe some that will iustly tell how many acres euery parcel of grounde conteineth onely by the viewe of them not vsing either pole or instrument Worsop Diuers surueyors by their great experience and by the helpe of deedes terrors particulars Iurors and report of the inhabitants can giue a great gesse at the true contentes of landes and thereupon will set downe their iudgementes which maner of surueying differeth from exactnes He that is much exercised in the tals of mony can giue neerest gesse howe much bagges and heapes conteine vpon the viewe of them Likewise they which are greatly exercised in buying of peeces of veluets silkes and cloths can by their bulkes giue sometimes neere gesses at their contents but yet their gesses are vncertaine and most commonly vntrue The records of such coniecturall surueyes ought not to be produced as good and sufficient euidence for proofe of the quantitie Iohnson Is then a Mathematician the best surueyor ought not any to be admitted vnto suruey but he Worsop He that vnderstandeth all the parts of suruey best deserueth to be admitted to that function There be diuers Mathematicians that vnderstand Geometrie Arithmetike and Perspectiue sufficiently for the Mathematical part of surueie that vnderstand litle in the parts Legal and Iudicial Also there be diuers that vnderstand the parts Legall and Iudicial that vnderstand litle of the Mathematicals Therefore when partitions exchanges buyings and sellings by the acre are to be made they to whom these matters appertaine if they will haue their businesses exactly done should get such a one as vnderstandeth all the parts of surueie or els two who by their knowledges ioyned together are able to make a perfect surueie If defection be in any of the three parts the residue of the suruey is litle better then labour lost such great errors will ensue thereof Peter I would faine be acquainted with some that vnderstand al the parts of surueie perfectly You know many such Worsop I knowe verie fewe such Ye haue heard of M. Thomas Digges he is verie skilful in all the three parts All surueiors are greatly beholding vnto
teach in the English tongue and although the Greeke termes are expounded in the English translation They can best shewe the etymologie and deriuations of words and termes the methode and other parts of learning Peter Who translated him into our tongue Worsop Master Henrie Billingsly one of her Maiesties c●●●mers for the port of London Peter The translation is made by a verie honest Gentleman Worsop Euen from his childehoode I haue heard from others and noted to my selfe such his great paines taken in studie his discretion and such his vertuous inclination and impressions that my minde alwaies gaue me some notable benefite to his country would proceede from him Peter How long hath this English impression bin extant Worsop Euer since the yere of our Lord God 1570. Great pains was taken at the time of the impression by M. Doctor Whitehead a profound learned man and M. Iohn Dee who is accounted of the learned Mathematicians throughout Europe the prince of Mathematicians of this age as Cicero named Cratippus the prince of Philosophers in his age This M. Dee hath put vnto these englished elemēts many scholies annotations corollaries and expositions which giue great light and facilitie to the vnderstanding of them Also his mathematicall preface vnto these elements is a worke of such singularitie and necessitie to all students of the Mathematicals that I wish them to make it a manuel Iohn I pray you let vs see some figures representing streight hedged closes iust viii score perches about that shal conteine more then x. acres You said you could lay closes in diuers fashions that should conteine more then x. acres and yet but viii score perches about We haue seene it proued in the roūd now we would see the like proofes in some with streight hedges Wor. I wil shew you some examples by certaine regular figures I cal those figures regular whose sides are equall the one to the other and whose angles also are equal the one to the other Euery side of the fiue sided figure a. b. c. d. e. is xxxii perches in length as ye may try by the scale x. fiue times xxxii make 8. score It is manifest to your eye that the said figure is greater then the pricked square f. g. h. i. Euerie side of the square is xl perches and therfore as ye haue seene by former proofes it conteineth x. acres but this equilater and equiangle pentagon or figure of fiue sides conteineth eleuen acres and fiue perches The figure k. l. m. n. o. p. is an equilater equiangle hexacon that is to say a figure of vi equal sides of vi equal angles Euery side thereof is 26. perches two third partes of one perche A close lying in such fashion conteineth xi acres an halfe 8. perches And yet his 6. sides cast together make but 8. score perches and so many are the sides of the pricked square q. r. s t. whose content is but x. acres The figure v. y. x. z. a. b. c. d. is a regular octogon euery of his sides are xx A close lying in such fashion conteineth xii acres x. perches And that close also is but viii score perches about so much is the pricked square e. f. g. h. The moe sides a regular close hath the greater is his content For the moe sides the neerer he draweth to a circle and euerie circle conteineth more area within him then anyother figure of many streight sides can conteine if their circuits be equal in measure As all regular figures of moe sides then iiii must alwaies conteine aboue x. acres if their perimetrie or circuit be iust viii score perches so if they be irregular that is to say if their sides and angles or any of them be vnequall they may conteine lesse then x. acres as this close i. k. l. m. n. o. which is but ix acres an halfe therfore lesse then the square p. q. r. s which conteineth x. acres but much lesse then the former equilater and equiangle sixe sided figure whose content is xi acres an halfe and viii perches The neerer any figure commeth to regularitie the greater is his content Ye nowe euidently see that land cannot be truely measured if the measurer be ignorant of Geometrie for if his knowledge extend not further then to lay head to head and side to side or to measure the whole circuite and to cast the same into foure equal parts or to make crosse measures making the one the head and the other the side most of his contentes will bee false Watkins We see euidently that the proofes which you haue made are true and that common measurers make much false work but seeing the statute for landmeasure doth not mention any thing of angles circles or other Geometricall figures but onely of length and breadth most men thinke that we are to respect our statutes to follow them and not to follow the new begun professors of Geometrie as though they were wiser and knew better what belongeth to landmeasure then the wise learned and experienced men of the Parlement in those daies It seemeth by the ancient huge and sumptuous buildings and by the acts for al maner of measures and assises that as skilful Mathematicians were in those daies as in these The statute saith when an acre of land cōteineth x. perches in length it shal conteine xvi in bredth When xx in length then viii in bredth When xl in length then foure in breadth Therefore if I measure the side and the head which are the length and the breadth I measure according to the statute and other kinde of measure then the statute apointeth the people desire not Worsop That statute is wel and rightly penned but of many ignorant of the Mathematicals it is misvnderstoode Though ye finde not termes of art therein but vsual words yet those exact appointments and reductions of breadths to euerie length in that statute nominated could not be done but by a Mathematician And although some of those breadths be vntruly set downe yet they of vnderstanding perceiue the faults to be either in the Printer or in the corruption of their copies The hardest and most cunningest reductions are truly printed but certaine easie reductions are printed falsly The varieties of lengthes and breadths in that statute expressed tend to driue men to learne and consider what the measure of an acre of land is I told ye not long since that viii scorrsquare perches make an acre If ye haue a peece of ground that is xx perches long and 8. broad lying square like to the figure a. b. c. d. such an inclosure is an acre of ground for viii times xx is viii score But closes in fashion like to the figures e. f. g. h. or r. s t. v. are but iii. roodes though euery of the heads e. h f. g r. v. and s t. be equal in length to the head a. d. or b. c. and euery of the sides e. f g. h r. s and v.
Iohn Bull at the Exchange gate in wood at Iohn Reades in Hosier Lane at Iames Lockersons dwelling neere the Conduite at Dowe-gate and at Iohn Reynolds at Tower Hill Euery figure in this Treatise is drawen according to some Scale therefore the hauing of scales and compasses and applying them to those figures will make the demonstrations and proofes herein very easie to the readers thereof though they vnderstand litle or nothing in Geometrie I haue thought good to giue aduertisement hereof because many that would prouide such things knowe not where to haue them A DETECTION OF SVNdry errours committed in Landmeating Speakers M. Peter Ihonson a Clothier Worsop a Surueyor M. Watkins Steuen a Seruingman M. Peter THis séemeth to be rich pastureground a tenant in my iudgement may safely giue a marke by yeare for euerie acre thereof Iohnson I would take a pasture ground with vs and giue that price for euery acre measured with the perche of xvi foote and an halfe called statute measure and ten shillings for euerie acre if it be measured with the perche of xii foote Worsop An acre measured by the statute perche conteyneth almost twise so much ground as an acre measured by a perche of xii foote If the statute acre be rented at xiii s. iiii d the acre measured by the perche of xii foote will not come to vii s. i. d rate like You should deceiue your selfe ii s. xi d. in euery such acre by that account Iohnson You are greatly deceiued for by all reason the acre measured with the perche of xii foote must be almost iii. quarters of the statute acre because xii foote are almost iii. quarters of xvi foote and an halfe Peter Howe much grounde of statute measure are xi acres of woodland measure the woodland perche being xviii foote Worsop Aboue xiii acres xiiii perches to my remembrance Peter Your remembrance or your casting haue fayled you You are greatly deceiued in both your reckonings Worsop I shal be very sory if I be deceiued in either of them for I haue made sundry surueyes where occasion hath serued to reduce such acres as haue bin measured by the xviii foote perche the xii foote perche vnto statute acres The xviii foote perche for woodland is vsed in most places hereabouts I haue not seene the xii foot perch vsed in these parts but far from London in some Manors that measure is allowed of and is called in some places tenant right in other some curt measure Peter I alway thought and haue sundry times heard that xi acres measured with the perch of xviii foote make xii statute acres And this reason hath alwaies induced me to thinke it true because the xviii foote perche exceedeth the statute perche by halfe a yarde which is a twelfth part thereof for the one perche is xii halfe yards long and the other but xi therefore seeing the perches differ but a tewlfth part the one from the other the acres in mine opiniō measured with those perches can not make any other difference Worsop You do not knowe or not consider that when you talk of the diuersitie which vnequal perches make in land measure that then you speake of the measure of planes and flattes You think you are in the comparison of lengthes when as in déede you are in an other matter Ye must vnderstand that Geometrie treateth of thrée sundry measures The first of lengthes which is called liniarie measure or the measure of lengthes or lines By this part you may know howe farre any place is from the standing of your foote also the distance betweene place and place howe much higher or lower any place is then the leuel of your eye or foot The second of length and bredth called superficiall measure or the measure of planes or flattes By this part of Geometrie is measured all maner of land bord glasse pauements waynskottings hangings and such like The third of length breadth and thicknes called solide or bodily measure This part sheweth howe to measure all manner of timber stone vessels and such like M. Peter saide truth that the perche of xviii foote and the perche of xvi foote and an halfe differ in their lengthes as xii differ from xi for the one is xii halfe yardes long and the other but xi But ye must vnderstand this difference is onely in respect of their lengthes called liniarie measure In lande measure which respecteth length and bredth the difference is otherwise as I wil make plaine vnto you by an easie example Suppose you haue two tables or bords the one iiii foot euery way the other six How much is the one longer then the other Peter By the one halfe Worsop You say truth and therefore you account the one table to be greater then the other iust by one halfe Peter It must needes be so Worsop I pray you howe many foote of wainscot doth a table conteine that is iiii foote euery way Peter xvi Worsop It doth so and then by your account the other table of vi foote euery way must conteine xxiiii for the halfe of xvi is viii which if you put vnto xvi they both make xxiiii Peter You say true Worsop I pray you howe much is vi taken vi times Iohnson Six and thirtie Worsop By your reckoning it should be but xxiiii Iohnson We al know that sixe times sixe is sixe and thirtie but how proueth this such diuersitie in the acres Worsop It sheweth vnto you at the first that measures cast vp by their breadthes and lengthes must otherwise bee considered of then measures whose lengthes onely are compared together A table that is iiii foote broade and vi long conteineth xxiiii foote of bord therfore a table that is vi foot euery way must needs conteine more Watkins This standeth so by reason that it must needes be as you say Worsop I haue in my cloake bag certaine figures drawen in a booke which I must giue vnto a friend of mine that will explane this error and sundry others which landmeasurers vnlearned in Geometrie often commit Peter I pray you let vs see those figures VVorsop You shall when we come to our Inne Peter It will be late ere wee come thither therefore wee shal haue small time then to talke of these matters because men scatter when they are lighted Also we must part company in the morning Therefore I pray you let vs see them now which if you vouchsafe I in some other matter wil requite your courtesie It standeth mee vpon to vnderstand the troth of this matter by reason of a wood sale that I and an other should passe VVorsop To pleasure you I wil presently shewe them Here is the booke these iii. figures proue that which I haue spoken Peter I see in deede that iiii euery way maketh xvi and that vi euerie way maketh sixe and thirtie and iiii broade and vi long make xxiiii What meane you by this worde Scale which I see in so many places
t. equall to the side a. b. or c. d. For euerie of those vi heads are 8. perches broade euerie of the vi sides xx perches long as ye may trie by the scale of foure The inward inclination or bending of the sharpe angle e. h. g. abateth two perches in the breadth of the figure i. k. g. h. which figure i. k. g. h. is equall to the figure a. b. c. d. and therefore that figure e. f. g. h. is equall to such a figure as is vi perches broad and xx long namely to the figure m. l. g. h. which is but iii. roodes For vi times xx make vi score and vi score representeth iii. roodes The line q. o. is the breadth of the figure e. f. g. h. and not ● h. as the ignorant of Geometrie erroniously suppose And the line v x. is the breadth of the figure r. s t. v. one demonstration serueth to them both Breadths must bee measured streight and vpright called of Geometers perpendicular or rectangular measure as al the lines in the figure a. b. c. d. are perpendicular lines for they stand vpright vpon the line c. d. neyther bending inward making a sharpe angle as the line ● h. doeth with the line h. g. nor falling outward making an obtuse angle as the line r. v. doth with the line v. t. The line n. o. in the figure e. f. g. h. lyeth not vprightlie as lines of breadth should but slopingly for if it were laide or measured vprightlie it would reach to the line i. k. as ye may try by the vpright line o. p. which is equale in length to the saide slope lines n. o. or e. h. The eye of the conningest Geometer that is cannot exactly iudge when he measureth lande vpon what partes of hedges perpendicular measure that is to saye measures of breadthes must fall but by the helpe of some geometricall instrument Ye may by the example of the three figures whose heades are viii and sides xx trye and finde that the like and as great errors may befall in euery of the other limitations of breadth and length in the said statute specified as in these An acre of ground included in a quadrate that is to say within iiii equal right anguled sides or bounders as the square a. b. c. d. must haue euery of those sides to be in length xii perches and an halfe ii foot iii inches and an half and the fiftieth part of an inch These iiii sides added together make fifty perches and an halfe xi inches the twelfth part of an inch and somewhat more as ye may try by the scale of foure That length cast into a rounde close like vnto this circle e. f. g. h. and measured from Easte to Weaste here represented by e g. and from south to north represented by f.h as many erroniously vse to doe taking the one measure for the length the other for the breadth they shal produce by that way of measuring one acre and an halfe and halfe a rood which circuite in square forme maketh but one acre Such a round close by true measure is one acre one roode and three perches Therfore such a round close by that maner of crosse measure is made one rood and xvii perches more thē it ought to be and by casting such a round circuit into a square they make the land lesse then they ought by one roode and three perches The words and meaning therefore of the statute certainely is that in what fashion soeuer grounds do ly that iust viii score square perches must alwaies make the acre We must not thinke so worthy a stat●●… for so weightie a matter to be made vppon so weake a foundation or consideration that the meaning was to alowe of measures so greatly disagreeing eache from other and so greatly swaruing from the troth sometime by excesse and sometime by want There can be but one true content of a peece of ground which cannot allowably be found by any measurer but by such a one as can proue the same by the elements of Geometrie The greater number of measurers make their measures by laying head to head and side to side as though all closes lay in right angles By which doing I may compare them to a shoemaker that hath two or three hundred paire of shoes in his shoppe made al vpon one paire of lasts For some feete his shoes must needs be too large for others too litle for some by chance they may be fitte Suppose there bee a square close hauing eyther of his sides xii perches long and eyther of his heads vi perches broade like to the figure a. b. c. d. Howe much ground doth such a close conteine Peter Sixe twelue times is lxxii that is vi s. If it were viii perches more it were halfe an acre Worsop Suppose there be an other close the one side w●●reof is xxi perches long the other but xii and eyther of the heade●●● perches broad lying in fashion like to the figure e. f. g. h. How much doth such a close conteine Iohnson Xxi and xii added together make xxxiii The halfe thereof is xvi perches and an halfe These xvi and an halfe I take for the length taking vi for the breadth I finde that xvi d. ob sixe times is viii s. iii. d. which representeth halfe an acre and xix perches If it were but one perche more it were halfe an acre and halfe a roode I see that iii. sides of the one figure are equall to three sides of the other and that their difference is onely in one side for the heads a. c. and b. d. of the one figure are equall to the heads e. h and f. g of the other figure and the side c. d. is equal to the side h. g. but the side e. f. is longer then the side a. b. by ix perches for the one is xxi and the other but xii therefore the longer sided close conteineth more ground then the shorter by half a roode and vii perches For if ye take lxxii perches the content of the figure a. b. c. d. from foure score and xix the content of the figure e. f. g. h. there will remaine xxvii perches which is halfe a roode and vii perches Ye see before your eyes that the figure e. f. g. h. is on the one side almost as long againe as the figure a. b. c. d. if it were iii. perches longer it were ful twise so long as the other VVorsop Measurers ignorant of Geometrie deliuer vp such contents Sundry buyers par●eners exchangers lessees and takers of land as ignorant as they content themselues with such measures When the blinde leadeth the blinde they fall both into the ditch Ye haue great respect howe much the close e. f. g. h. is longer then the close a. b. c. d. but ye respect not howe much the saide close a. b. c. d. is broader then the other The shorter close a. b. c. d by reason of his